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Artykuły w czasopismach na temat „Gummel Method”

Autor: Grafiati

Data publikacji: 3 czerwca 2025

Data aktualizacji: 31 lipca 2025

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1

Kemp, M., C. G. Tannous, and M. Meunier. "Amorphous silicon device simulation by an adapted Gummel method." IEEE Transactions on Electron Devices 35, no. 9 (1988): 1510–13. http://dx.doi.org/10.1109/16.2584.

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Ringhofer, C., and C. Schmeiser. "A modified Gummel method for the basic semiconductor device equations." IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 7, no. 2 (1988): 251–53. http://dx.doi.org/10.1109/43.3155.

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RINGHOFER, CHRISTIAN. "AN ENTROPY-BASED FINITE DIFFERENCE METHOD FOR THE ENERGY TRANSPORT SYSTEM." Mathematical Models and Methods in Applied Sciences 11, no. 05 (2001): 769–95. http://dx.doi.org/10.1142/s0218202501001094.

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This paper is concerned with the spatial discretization of the energy transport model for charged particles. A finite difference method is given which dissipates the entropy of the system on the discrete level, thus exhibiting the correct long-time behavior of the solution. This method represents a generalization of the Scharfetter–Gummel exponential fitting method for the drift-diffusion system.

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4

Bank, Randolph E., W. M. Coughran, Jr., and Lawrence C. Cowsar. "The Finite Volume Scharfetter-Gummel method for steady convection diffusion equations." Computing and Visualization in Science 1, no. 3 (1998): 123–36. http://dx.doi.org/10.1007/s007910050012.

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TSAI, YAO-TSUNG, and LI-CHUNG HUANG. "SIMULATION OF AMORPHOUS SILICON THIN-FILM TRANSISTOR INCLUDING ADAPTED GUMMEL METHOD." International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 10, no. 1 (1997): 3–11. http://dx.doi.org/10.1002/(sici)1099-1204(199701)10:1<3::aid-jnm253>3.0.co;2-#.

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6

He, Y., and G. Cao. "A generalized Scharfetter-Gummel method to eliminate crosswind effects (semiconduction device modeling)." IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 10, no. 12 (1991): 1579–82. http://dx.doi.org/10.1109/43.103508.

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Liang, Wenchao, Daniel C. Kerr, Neil Goldsman, and Isaak D. Mayergoyz. "Hydrodynamic Device Simulation with New State Variables Specially Chosen for a Block Gummel Iterative Approach." VLSI Design 6, no. 1-4 (1998): 191–95. http://dx.doi.org/10.1155/1998/32480.

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A new numerical formulation for solving the hydrodynamic model of semiconductor devices is presented. The method is based on using new variables to transform the conventional hydrodynamic equations into forms which facilitate numerical evaluation with a block Gummel approach. To demonstrate the new method, we apply it to model a 0.35 μm 2-D LDD MOSFET, where robust convergence properties are observed.

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8

Quenjel, El Houssaine. "Positive Scharfetter-Gummel finite volume method for convection-diffusion equations on polygonal meshes." Applied Mathematics and Computation 425 (July 2022): 127071. http://dx.doi.org/10.1016/j.amc.2022.127071.

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9

Enayat, Taghavi Moghaddam S., and Kankanani S. Mehrdad. "Numerical Simulation of a Mechanically Stacked GaAs/Ge Solar Cell." Engineering, Technology & Applied Science Research 7, no. 3 (2017): 1611–14. https://doi.org/10.5281/zenodo.809232.

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In this paper, GaAs and Ge solar cells have been studied and simulated separately and the inner characteristics of each have been calculated including the energy band structure, the internal field, carrier density distribution in the equilibrium condition (dark condition) and the voltage-current curve in the sun exposure with the output power of each one. Finally, the output power of these two mechanically stacked cells is achieved. Drift-diffusion model have been used for simulation that solved with numerically method and Gummel algorithm. In this simulation, the final cells exposed to sun li

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10

Liang, Wenchao, Neil Goldsman, and Isaak Mayergoyz. "A New Self-Consistent 2D Device Simulator Based on Deterministic Solution of the Boltzmann, Poisson and Hole-Continuity Equations." VLSI Design 6, no. 1-4 (1998): 251–56. http://dx.doi.org/10.1155/1998/57195.

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LDD MOSFET simulation is performed by directly solving the Boltzmann Transport Equation for electrons, the Hole-Current Continuity Equation and the Poisson Equation self-consistently. The spherical harmonic expansion method is employed along with a new Scharfetter-Gummel like discretization of the Boltzmann equation. The solution efficiently provides the distribution function, electrostatic potential, and the hole concentration for the entire 2-D MOSFET.

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11

FUCHS, F., and F. POUPAUD. "ASYMPTOTICAL AND NUMERICAL ANALYSIS OF DEGENERACY EFFECTS ON THE DRIFT-DIFFUSION EQUATIONS FOR SEMICONDUCTORS." Mathematical Models and Methods in Applied Sciences 05, no. 08 (1995): 1093–111. http://dx.doi.org/10.1142/s0218202595000577.

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A current approximation for modeling electron transport in semiconductor devices is to assume small electron density. Through this method nondegenerate models are obtained. Here we present an asymptotical analysis of that approximation on the drift-diffusion equation. The numerical approximations of the degenerate and nondegenerate equations are then compared. A modified Scharfetter-Gummel scheme which integrates the degenerate drift-diffusion equation is proposed for comparison.

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12

Miller, J. J. H., and Song Wang. "An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations." ESAIM: Mathematical Modelling and Numerical Analysis 28, no. 2 (1994): 123–40. http://dx.doi.org/10.1051/m2an/1994280201231.

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13

Yamina, Berrichi, and Ghaffour Kherreddine. "Modelling Electronic Characteristic of InP/InGaAs Double Heterojunction Bipolar Transistor." International Journal of Electrical and Computer Engineering (IJECE) 5, no. 3 (2015): 525. http://dx.doi.org/10.11591/ijece.v5i3.pp525-530.

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In this paper, we are interested in studying InP/InGaAs heterojunction bipolar transistor NPN type. First and for most we should describe the structure of our simulation, then, we ploted at room temperature: Energy band diagram, Gummel plot, I<sub>C-</sub>V<sub>C</sub> characteristic and conduction bands for different values of V<sub>BE</sub>. The simulation of this structure has demonstrated the validity of our model and the method of the simulation.

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14

Enayat Taghavi Moghaddam, S., and S. Mehrdad Kankanani. "Numerical Simulation of a Mechanically Stacked GaAs/Ge Solar Cell." Engineering, Technology & Applied Science Research 7, no. 3 (2017): 1611–14. http://dx.doi.org/10.48084/etasr.935.

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In this paper, GaAs and Ge solar cells have been studied and simulated separately and the inner characteristics of each have been calculated including the energy band structure, the internal field, carrier density distribution in the equilibrium condition (dark condition) and the voltage-current curve in the sun exposure with the output power of each one. Finally, the output power of these two mechanically stacked cells is achieved. Drift-diffusion model have been used for simulation that solved with numerically method and Gummel algorithm. In this simulation, the final cells exposed to sun li

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15

Vágner, Petr, Clemens Guhlke, Vojtěch Miloš, Rüdiger Müller, and Jürgen Fuhrmann. "A continuum model for yttria-stabilized zirconia incorporating triple phase boundary, lattice structure and immobile oxide ions." Journal of Solid State Electrochemistry 23, no. 10 (2019): 2907–26. http://dx.doi.org/10.1007/s10008-019-04356-9.

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Abstract A continuum model for yttria-stabilized zirconia (YSZ) in the framework of non-equilibrium thermodynamics is developed. Particular attention is given to (i) modeling of the YSZ-metal-gas triple phase boundary, (ii) incorporation of the lattice structure and immobile oxide ions within the free energy model and (iii) surface reactions. A finite volume discretization method based on modified Scharfetter-Gummel fluxes is derived in order to perform numerical simulations. The model is used to study the impact of yttria and immobile oxide ions on the structure of the charged boundary layer

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16

Meng, Da, Bin Zheng, Guang Lin, and Maria L. Sushko. "Numerical Solution of 3D Poisson-Nernst-Planck Equations Coupled with Classical Density Functional Theory for Modeling Ion and Electron Transport in a Confined Environment." Communications in Computational Physics 16, no. 5 (2014): 1298–322. http://dx.doi.org/10.4208/cicp.040913.120514a.

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AbstractWe have developed efficient numerical algorithms for solving 3D steady-state Poisson-Nernst-Planck (PNP) equations with excess chemical potentials described by the classical density functional theory (cDFT). The coupled PNP equations are discretized by a finite difference scheme and solved iteratively using the Gummel method with relaxation. The Nernst-Planck equations are transformed into Laplace equations through the Slotboom transformation. Then, the algebraic multigrid method is applied to efficiently solve the Poisson equation and the transformed Nernst-Planck equations. A novel s

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17

Fadila Souad, Nouar, Mansouri Seddik, Amrani Mohamed, Marie Pierre, and Massoum Ahmed. "Three-Dimensional Devices Transport Simulation Lifetime and Relaxation Semiconductor." International Journal of Electrical and Computer Engineering (IJECE) 5, no. 2 (2015): 243. http://dx.doi.org/10.11591/ijece.v5i2.pp243-250.

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<p>Our work is to create a three-dimensional Simulator (3D) used for the study of the components to low geometry of design, and to determine in the volume structure the potential distributions and densities of free carriers in bias voltage given by solving the system of Poisson and two continuities equations. The initial version can simulate components of lifetime semiconductor. In this study, we make a comparison between the lifetime and relaxation semiconductor in the conduction mode. In order to create a larger Simulator, we'll perform a calculation by varying am bipolar lifetime way

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18

Nouar, Fadila Souad, Mimouna Oukli, and Mohamed Khadraoui. "New Irregular Mesh Technique Used in Three-Dimensional Simulation of Relaxation Semiconductors." Mathematical Modelling of Engineering Problems 8, no. 3 (2021): 403–8. http://dx.doi.org/10.18280/mmep.080309.

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The aim of this work is to simulate correctly in 3D space the phenomena that govern relaxation semiconductors. To avoid the relevant constraints of inadequate mesh a new technique for refining irregular meshing has been creating. Each length of the sample will be considered as a partial sum of a geometric series, the calculation of the argument of this series, will allow to calculate the distance between the nodes. In this paper we proposed to use an algorithm combined between Gummel and Newton Raphson algorithms to solve the partial differential equations, the linearization of transport equat

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19

Pradigta, Mochammad Danara Indra, Sony Susanto, and Herlan Pratikto. "Comparison of Gumbel Method and Log Pearson Method in Flood Control in Konto River Jombang." CIVED 11, no. 3 (2024): 1008–15. http://dx.doi.org/10.24036/cived.v11i3.645.

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This study aims to analyze the potential for flooding in the Konto River, Gudo District, Jombang Regency, this study uses the Gumbel and Log Pearson III statistical methods. Floods in this area often occur due to rainwater flow from the surrounding mountains which causes damage to infrastructure and settlements. Maximum daily rainfall data from 2013 to 2023 are used in this analysis. The Gumbel method is a statistical technique that is often used to analyze extreme rainfall data. The Gumbel and Log Pearson III methods are applied to estimate the design rainfall based on the flood return period

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20

Kızılaslan, Fatih. "Stochastic comparisons of series and parallel systems with independent heterogeneous Gumbel and truncated Gumbel components." International Journal of Quality & Reliability Management 38, no. 8 (2021): 1771–91. http://dx.doi.org/10.1108/ijqrm-02-2020-0040.

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PurposeThe purpose of this paper is to investigate the stochastic comparisons of the parallel system with independent heterogeneous Gumbel components and series and parallel systems with independent heterogeneous truncated Gumbel components in terms of various stochastic orderings.Design/methodology/approachThe obtained results in this paper are obtained by using the vector majorization methods and results. First, the components of series and parallel systems are heterogeneous and having Gumbel or truncated Gumbel distributions. Second, multiple-outlier truncated Gumbel models are discussed fo

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21

Basuki, Iis Winarsih, and Noor Laily Adhyani. "ANALISIS PERIODE ULANG HUJAN MAKSIMUM DENGAN BERBAGAI METODE(RETURN PERIOD ANALYZE MAXIMUM RAINFALL WITH THREE METHOD)." Agromet 23, no. 2 (2009): 76. http://dx.doi.org/10.29244/j.agromet.23.2.76-92.

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Lush rainfall intensity in Indonesia mostly often affecting to flood disaster. Managing in flood problem must be supporting by good infrastructure of flood management such as dam, irrigation system, drainages,etc. In designing a water building, we needs maximum rainfall information with certain return period. The amount of maximum rainfall for design are different according to lifetime and reservoir capacity such as for a big dam that needs maximum rainfall information with long return period approximately 50,100 years, and for irrigation system needs shorter maximum rainfall information about

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22

Okorie, I. E., A. C. Akpanta, and J. Ohakwe. "The Exponentiated Gumbel Type-2 Distribution: Properties and Application." International Journal of Mathematics and Mathematical Sciences 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/5898356.

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We introduce a generalized version of the standard Gumble type-2 distribution. The new lifetime distribution is called the Exponentiated Gumbel (EG) type-2 distribution. The EG type-2 distribution has three nested submodels, namely, the Gumbel type-2 distribution, the Exponentiated Fréchet (EF) distribution, and the Fréchet distribution. Some statistical and reliability properties of the new distribution were given and the method of maximum likelihood estimates was proposed for estimating the model parameters. The usefulness and flexibility of the Exponentiated Gumbel (EG) type-2 distribution

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23

Chen, Duan, and Guo-Wei Wei. "Quantum Dynamics in Continuum for Proton Transport I: Basic Formulation." Communications in Computational Physics 13, no. 1 (2013): 285–324. http://dx.doi.org/10.4208/cicp.050511.050811s.

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AbstractProton transport is one of the most important and interesting phenomena in living cells. The present work proposes a multiscale/multiphysics model for the understanding of the molecular mechanism of proton transport in transmembrane proteins. We describe proton dynamics quantum mechanically via a density functional approach while implicitly model other solvent ions as a dielectric continuum to reduce the number of degrees of freedom. The densities of all other ions in the solvent are assumed to obey the Boltzmann distribution. The impact of protein molecular structure and its charge po

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Erfen, Yuliarahmadila, Mohd Shalahuddin Adnan, Noorfathiah Che Ali, Nurul Farehah Amat, and Zawani Mohd Zahudi. "Comparison of Distribution Methods of Low Flow Analysis for Bandar Segamat, Johor." Applied Mechanics and Materials 773-774 (July 2015): 1266–70. http://dx.doi.org/10.4028/www.scientific.net/amm.773-774.1266.

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During the monsoon season, certain areas in Malaysia are experiencing a flood. While during the transition period Malaysia is experiencing a drought. This phenomenon could lead to severe disaster and precaution monitoring is needed to avoid this occurrences. Low flow during the dry season could lead to several negative effects on the river ecosystem. Thus, this study was conducted to determine the low flow frequency and intensity for the Segamat city. The duration for 2 years to 100 years based on the previous 20 years of stream flow data were used to calculated. Stream flow data were obtained

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Bertelle, Roberto, and Maria Rosaria Russo. "An approach to the Gummel map by vector extrapolation methods." Numerical Algorithms 45, no. 1-4 (2007): 331–43. http://dx.doi.org/10.1007/s11075-007-9101-7.

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Journal, Baghdad Science. "Estimating Parametersof Gumbel Distribution For Maximum Values By using Simulation." Baghdad Science Journal 13, no. 4 (2016): 707–13. http://dx.doi.org/10.21123/bsj.13.4.707-713.

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In this research estimated the parameters of Gumbel distribution Type 1 for Maximum values through the use of two estimation methods:- Moments (MoM) and Modification Moments(MM) Method. the Simulation used for comparison between each of the estimation methods to reach the best method to estimate the parameters where the simulation was to generate random data follow Gumbel distributiondepending on three models of the real values of the parameters for different sample sizes with samples of replicate (R=500).The results of the assessment were put in tables prepared for the purpose of comparison,

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Fiedler, O. A. "Convergence conditions for Gummel's method." Journal of Soviet Mathematics 59, no. 6 (1992): 1225–34. http://dx.doi.org/10.1007/bf01374085.

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Martín, Jacinto, María Isabel Parra, Mario Martínez Pizarro, and Eva L. Sanjuán. "Baseline Methods for Bayesian Inference in Gumbel Distribution." Entropy 22, no. 11 (2020): 1267. http://dx.doi.org/10.3390/e22111267.

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Usual estimation methods for the parameters of extreme value distributions only employ a small part of the observation values. When block maxima values are considered, many data are discarded, and therefore a lot of information is wasted. We develop a model to seize the whole data available in an extreme value framework. The key is to take advantage of the existing relation between the baseline parameters and the parameters of the block maxima distribution. We propose two methods to perform Bayesian estimation. Baseline distribution method (BDM) consists in computing estimations for the baseli

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McClung, D. M. "Extreme avalanche runout: a comparison of empirical models." Canadian Geotechnical Journal 38, no. 6 (2001): 1254–65. http://dx.doi.org/10.1139/t01-041.

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The prediction of snow avalanche runout distances and the probability of exceeding the predicted positions is the first and most important step required before making decisions about placement of facilities or control structures in snow avalanche prone terrain. There are two main prediction methods for calculating runout distances: (1) procedures linked to the selection of friction coefficients in avalanche dynamic models, and (2) empirical, statistical prediction based on terrain parameters for a set of extreme runout distances for the mountain range in question. Within the second method ther

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Agustriyanto, Dono, Ahmad Zakaria, and Siti Nurul Khotimah. "Performance Method of Maximum Daily Rainfall Frequency Analysis Using Correlation." Jurnal Rekayasa Sipil dan Desain 8, no. 1 (2021): 147–56. https://doi.org/10.23960/jrsdd.v8i1.1277.

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Rainfall in Bandar Lampung has a different distribution value for each station which is calculated to carry out the annual maximum daily rain forecast required in road planning, water building and drainage. Getting rain distribution values requires a method that meets the requirements of Cs, Ck and Cv. But this study reviews methods that have a correlation value close to the value of one. In this study, a validation test was carried out in advance to normalize values> 500 mm which were then calculated through the Normal, Log Normal, Gumbel and Log Pearson III methods. Look at the correlatio

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Nadarajah, Saralees, and Samuel Kotz. "The beta Gumbel distribution." Mathematical Problems in Engineering 2004, no. 4 (2004): 323–32. http://dx.doi.org/10.1155/s1024123x04403068.

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The Gumbel distribution is perhaps the most widely applied statistical distribution for problems in engineering. In this paper, we introduce a generalization—referred to as the beta Gumbel distribution—generated from the logit of a beta random variable. We provide a comprehensive treatment of the mathematical properties of this new distribution. We derive the analytical shapes of the corresponding probability density function and the hazard rate function and provide graphical illustrations. We calculate expressions for thenth moment and the asymptotic distribution of the extreme order statisti

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Slaoui, Yousri. "Optimal bandwidth selection for recursive Gumbel kernel density estimators." Dependence Modeling 7, no. 1 (2019): 375–93. http://dx.doi.org/10.1515/demo-2019-0020.

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AbstractIn this paper, we propose a data driven bandwidth selection of the recursive Gumbel kernel estimators of a probability density function based on a stochastic approximation algorithm. The choice of the bandwidth selection approaches is investigated by a second generation plug-in method. Convergence properties of the proposed recursive Gumbel kernel estimators are established. The uniform strong consistency of the proposed recursive Gumbel kernel estimators is derived. The new recursive Gumbel kernel estimators are compared to the non-recursive Gumbel kernel estimator and the performance

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Kerkhoven, Thomas. "On the Effectiveness of Gummel’s Method." SIAM Journal on Scientific and Statistical Computing 9, no. 1 (1988): 48–60. http://dx.doi.org/10.1137/0909005.

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Ahmed, Layla A. "Parametric Models in Survival Analysis for Lung Cancer Patients." Ibn AL- Haitham Journal For Pure and Applied Sciences 34, no. 2 (2021): 108–18. http://dx.doi.org/10.30526/34.2.2617.

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The aim of this study is to estimate the survival function for the data of lung cancer patients, using parametric methods (Weibull, Gumbel, exponential and log-logistic). Comparisons between the proposed estimation method have been performed using statistical indicator Akaike information Criterion, Akaike information criterion corrected and Bayesian information Criterion, concluding that the survival function for the lung cancer by using Gumbel distribution model is the best. The expected values of the survival function of all estimation methods that are proposed in this study have been

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Ateeq, Kahkashan, and Noumana Safdar. "Exploring Lomax-Gumbel {Frechet} Distribution in the Bayesian Paradigm." STATISTICS, COMPUTING AND INTERDISCIPLINARY RESEARCH 4, no. 2 (2022): 57–69. http://dx.doi.org/10.52700/scir.v4i2.116.

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This paper explores the Lomax-Gumbel {Frechet} distribution in the Bayesian paradigm. The posterior distributions of the parameters are not attained in closed form, so the Lindley and the Tierney-Kadane approximation methods are used for the evaluation of Bayes estimators and associated posterior risks under uniform, Maxwell, and half logistic priors. A complete implementation of these two techniques is provided. Three loss functions are used. An extensive simulation study and two real life data are provided to obtain and compare Bayes estimators in terms of prior distributions and loss functi

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Portilla Yela, Jennyfer, and José Rafael Tovar Cuevas. "Estimating the Gumbel-Barnett copula parameter of dependence." Revista Colombiana de Estadística 41, no. 1 (2018): 53–73. http://dx.doi.org/10.15446/rce.v41n1.64900.

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In this paper, we developed an empirical evaluation of four estimation procedures for the dependence parameter of the Gumbel-Barnett copula obtained from a Gumbel type I distribution. We used the maximum likelihood, moments and Bayesian methods and studied the performance of the estimates, assuming three dependence levels and 20 different sample sizes. For each method and scenario, a simulation study was conducted with 1000 runs and the quality of the estimator was evaluated using four different criteria. A Bayesian estimator assuming a Beta(a,b) as prior distribution, showed the best performa

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N. S. Karam and H. A. Jasem. "Gumbel Type -2 Stress – Strength P(X<Y<Z) n-Cascade Reliability Estimation." Mustansiriyah Journal of Pure and Applied Sciences 1, no. 2 (2023): 86–100. http://dx.doi.org/10.47831/mjpas.v1i2.34.

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In this paper, is derived the reliability of n-cascade stress-strength system model based on the Gumbel Type- 2 Distribution (GT-2) with unknown parameter λ and known parameters β , for probability of n- components having strengths Y between two stresses X and Z .In the Gumbel Type- 2 Distribution ,there are six methods of parameters and this system reliability estimators where discussed by using the Maximum Likelihood, Moments Method, Least Square Method, Weighted Least Square Method , Regression and Percentile ,based estimators on the simulation technique , these estimates are compared by th

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Qiao, Yu-Long, Chun-Yan Song, and Fu-Shan Wang. "Wavelet-Based Dynamic Texture Classification Using Gumbel Distribution." Mathematical Problems in Engineering 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/762472.

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Dynamic texture classification has attracted growing attention. Characterization of a dynamic texture is vital to address the classification problem. This paper proposes a dynamic texture descriptor based on the dual-tree complex wavelet transform and the Gumbel distribution. The method takes out the median values of coefficient magnitudes in each nonoverlapping block of a detail subband and models them with the Gumbel distribution. The classification is realized by comparing the similarity between the estimated distributions of all detail subbands. The experimental results on the benchmark dy

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Samantaray, Sandeep, and Abinash Sahoo. "Estimation of flood frequency using statistical method: Mahanadi River basin, India." H2Open Journal 3, no. 1 (2020): 189–207. http://dx.doi.org/10.2166/h2oj.2020.004.

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Abstract Estimating stream flow has a substantial financial influence, because this can be of assistance in water resources management and provides safety from scarcity of water and conceivable flood destruction. Four common statistical methods, namely, Normal, Gumbel max, Log-Pearson III (LP III), and Gen. extreme value method are employed for 10, 20, 30, 35, 40, 50, 60, 70, 75, 100, 150 years to forecast stream flow. Monthly flow data from four stations on Mahanadi River, in Eastern Central India, namely, Rampur, Sundargarh, Jondhra, and Basantpur, are used in the study. Results show that Gu

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Montes-Pajuelo, Raúl, Ángel M. Rodríguez-Pérez, Raúl López, and César A. Rodríguez. "Analysis of Probability Distributions for Modelling Extreme Rainfall Events and Detecting Climate Change: Insights from Mathematical and Statistical Methods." Mathematics 12, no. 7 (2024): 1093. http://dx.doi.org/10.3390/math12071093.

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Exploring the realm of extreme weather events is indispensable for various engineering disciplines and plays a pivotal role in understanding climate change phenomena. In this study, we examine the ability of 10 probability distribution functions—including exponential, normal, two- and three-parameter log-normal, gamma, Gumbel, log-Gumbel, Pearson type III, log-Pearson type III, and SQRT-ET max distributions—to assess annual maximum 24 h rainfall series obtained over a long period (1972–2022) from three nearby meteorological stations. Goodness-of-fit analyses including Kolmogorov–Smirnov and ch

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Mello, Carlos Rogério de, and Antônio Marciano da Silva. "MÉTODOS ESTIMADORES DOS PARÂMETROS DA DISTRIBUIÇÃO DE GUMBEL E SUA INFLUÊNCIA EM ESTUDOS HIDROLÓGICOS DE PROJETO." IRRIGA 10, no. 4 (2005): 334–50. http://dx.doi.org/10.15809/irriga.2005v10n4p334-350.

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MÉTODOS ESTIMADORES DOS PARÂMETROS DA DISTRIBUIÇÃO DE GUMBEL E SUA INFLUÊNCIA EM ESTUDOS HIDROLÓGICOS DE PROJETO Carlos Rogério de Mello; Antônio Marciano da SilvaLaboratório de Hidráulica, Departamento de Engenharia, Universidade Federal de Lavras, Lavras, MG, rog.mello@terra.com.br 1 RESUMO Este trabalho objetiva estudar os efeitos que o método de estimativa dos parâmetros da distribuição de Gumbel proporcionam na estimativa da equação de chuvas intensas aplicando-se um modelo chuva-vazão, a conseqüente influência no hidrograma de projeto. Trabalhou-se com 7 estações pluviométricas da região

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Onchere, Walter Omonywa, Calvin Bitange Maina, and Fred Nyamitago Monari. "Gumbel copula mortality dependence modeling." African Journal of Applied Statistics 10, no. 1 (2023): 1383–97. http://dx.doi.org/10.16929/ajas/2023.1383.273.

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Using joint-life last-survivor annuities data, we conduct an analysis of the joint lifetime dependence. In the current paper, we apply the Gumbel copula and compare it to the Clayton copula approaches to address dependence effects. The method of moments procedure is used to calibrate the copula dependence parameter and maximum likelihood estimation for the marginal specifications. Subsequently, the performance of the marginals is compared following the criteria values. The findings show that the Gumbel copula with logistic marginals appropriately accounts for the dependence effects. These rese

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Setiyawan and Nurkhalisah. "STUDI PERBANDINGAN GELOMBANG DI PPI DONGGALA DENGAN MENGGUNAKAN METODE GUMBEL DAN METODE WEIBULL." Composite Journal 3, no. 2 (2024): 55–62. https://doi.org/10.37905/cj.v3i2.92.

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The Donggala Fish Landing Port (PPI) in Central Sulawesi, located in Labuan Bajo Village, Banawa District, Donggala Regency, suffered damage from the 2018 earthquake and tsunami that affected Palu, Donggala, and surrounding areas, necessitating repairs. This study aims to determine wave heights at PPI Donggala and predict future wave occurrences using the Gumbel and Weibull methods. The analysis uses secondary data, specifically hourly wind data from PPI Donggala. The significant wave height (Hs) was 0.98 meters with a significant wave period (Ts) of 4.74 seconds in 2017, occurring in the nort

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Gorgoso-Varela, Jose Javier, Segun M. Adedapo, and Friday N. Ogana. "A Comparison of Probability Density Functions Fitted by Moments and Maximum Likelihood Estimation Methods Used for Diameter Distribution Estimation." Forests 15, no. 3 (2024): 425. http://dx.doi.org/10.3390/f15030425.

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Modeling diameter distribution is a crucial aspect of forest management, requiring the selection of an appropriate probability density function or cumulative distribution function along with a fitting method. This study compared the suitability of eight probability density functions—A Charlier, beta, generalized beta, gamma, Gumbel, Johnson’s SB, and Weibull (two- and three-parameter)—fitted using both derivative methods (Moments) fitted in SAS/STATTM and optimization methods (MLE) fitted with the ‘optim’ function in R for diameter distribution estimation in forest stands. The A Charlier and G

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Pratiwi, D., R. Pratama, A. Fitri, and F. Lestari. "Analysis of extreme wind wave based on weibull and fisher tippett I (gumbel) distribution." IOP Conference Series: Earth and Environmental Science 1173, no. 1 (2023): 012038. http://dx.doi.org/10.1088/1755-1315/1173/1/012038.

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Abstract Extreme waves are an important factor in coastal structures both offshore structures and onshore structure design. However, due to the difficulty of measuring ocean waves, many areas still do not have measured wave height data. Data processing is required to transform the measured wind data into wind-wave value in order to solve this issue. This study aims to analyze extreme waves based on wind data from BMKG Panjang and BMKG Radin Inten II stations. For analysis of determination of extreme waves can be done by using Fisher Tippet Type I (Gumbel) and Weibull methods. The result show t

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YAMIN, MUHAMAD, and BAGUS WIDHI DHARMA S. "ANALISIS HUJAN MAKSIMUM PADA DAERAH ALIRAN SUNGAI BABAK KABUPATEN LOMBOK BARAT." GANEC SWARA 18, no. 3 (2024): 1478. http://dx.doi.org/10.35327/gara.v18i3.1015.

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Hydrological analysis is the most important measurement in determining runoff in order to find ways to overcome flooding. The flow rate that is the basis for calculating flood control and protection is the planned flood flow rate obtained from the sum of the volume of rain runoff and the flow rate of the water catchment area in question during a certain return period. This research is a case study using rainfall data for 10 years, namely 2014-2023. Rainfall prediction is an estimate of the amount of rain that will fall in a river basin. There are several methods for determining annual rainfall

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Kittisuwan, P. "Textural Image Denoising Using Gumbel Random Vectors in Gaussian Noise." International Journal of Image and Graphics 17, no. 01 (2017): 1750003. http://dx.doi.org/10.1142/s0219467817500036.

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Gaussian noise is an important problem in computer vision. The novel methods that become popular in recent years for Gaussian noise reduction are Bayesian techniques in wavelet domain. In wavelet domain, the Bayesian techniques require a prior distribution of wavelet coefficients. In general case, the wavelet coefficients might be better modeled by non-Gaussian density such as Laplacian, two-sided gamma, and Pearson type VII densities. However, statistical analysis of textural image is Gaussian model. So, we require flexible model between non-Gaussian and Gaussian models. Indeed, Gumbel densit

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Temtime, Getnet Solomon. "Flood Frequency Analysis Using Gumbel Distribution Method: A Case of Robigumero River, Abay Basin, Ethiopia." Hydrology 12, no. 1 (2024): 1–7. http://dx.doi.org/10.11648/j.hyd.20241201.11.

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Hydraulic structures like weirs, dams, spillways, and bridges require precise estimation of flood peaks at the intended return period in order to be planned, built, and maintained. In this paper, the findings of a study conducted on the Robigumoro River and the flow measurements taken are presented. The flood frequency analysis of the Robigumoro River was performed using the Gumbel distribution, which is a probability distribution commonly used for modeling river flows. This analysis is crucial as it aims to safeguard the lives and properties located downstream from the catchment area. The Gum

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Willayat, Farwa, Naz Saud, Muhammad Ijaz, Anita Silvianita, and Mahmoud El-Morshedy. "Marshall–Olkin Extended Gumbel Type-II Distribution: Properties and Applications." Complexity 2022 (January 30, 2022): 1–23. http://dx.doi.org/10.1155/2022/2219570.

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Due to the advance computer technology, the use of probability distributions has been raised up to solve the real life problems. These applications are found in reliability engineering, computer sciences, economics, psychology, survival analysis, and some others. This study offers a new probability model called Marshall–Olkin Extended Gumbel Type-II (MOEGT-II) which can model various shapes of the failure rate function. The proposed distribution is capable to model increasing, decreasing, reverse J-shaped, and upside down bathtub shapes of the failure rate function. Various statistical propert

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Et al., Saad. "The Gumbel- Pareto Distribution: Theory and Applications." Baghdad Science Journal 16, no. 4 (2019): 0937. http://dx.doi.org/10.21123/bsj.2019.16.4.0937.

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In this paper, for the first time we introduce a new four-parameter model called the Gumbel- Pareto distribution by using the T-X method. We obtain some of its mathematical properties. Some structural properties of the new distribution are studied. The method of maximum likelihood is used for estimating the model parameters. Numerical illustration and an application to a real data set are given to show the flexibility and potentiality of the new model.

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