Academic literature on the topic 'Weibull method'

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Journal articles on the topic "Weibull method"

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Jiajin, Xu. "Using Monte Carlo method to Upgrade Zhentong Gao method." World Journal of Advanced Research and Reviews 22, no. 2 (2024): 633–40. https://doi.org/10.5281/zenodo.14603002.

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In recent decades, it has been found that the three-parament Weibull distribution plays an increasingly important role in the fields such as structural fatigue and reliability. However, the complexity of estimating these three parameters greatly affects the application of the Weibull distribution. In the past three years, the author has successively proposed the Zhentong Gao Method and the Generalized Zhentong Gao Method, which have effectively solved this problem. However, it has also been found that there is room for improvement in these two methods. That's what this paper is about, how to u
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Hussain, Sajid, Mahmood Ul Hassan, Muhammad Sajid Rashid, and Rashid Ahmed. "Families of Extended Exponentiated Generalized Distributions and Applications of Medical Data Using Burr III Extended Exponentiated Weibull Distribution." Mathematics 11, no. 14 (2023): 3090. http://dx.doi.org/10.3390/math11143090.

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In this article, four new families named as Weibull extended exponentiated-X (WEE-X), Lomax extended exponentiated-X (LEE-X), Logistic extended exponentiated-X (LGCEE-X), and Burr III extended exponentiated-X (BIIIEE-X) with their quantile functions are proposed. The expressions for distribution function and density function of BIIIEE-X family are written in terms of linear combinations of the exponentiated densities based to parent model. New models, i.e., Weibul extended exponentiated Weibull (WEEW), Lomax extended exponentiated Weibull (LEEW), Logistic extended exponentiated Weibull (LGCEEW
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Gu, Ying Kui, De Liang Ge, and Yao Gang Xiong. "A Reliability Data Analysis Method Using Mixture Weibull Distribution Model." Applied Mechanics and Materials 148-149 (December 2011): 1449–53. http://dx.doi.org/10.4028/www.scientific.net/amm.148-149.1449.

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The weibull distribution plays a crucial role in reliability theory and life-testing experiments. Weibull mixtures are widely used to model lifetime and failure time data, since they exhibit a wide range of shapes for the failure rate function. In this paper, the failure data of crank rod system was analyzed by using mixture weibull distribution model. The distribution parameters of the mixture weibull distribution model were estimated by using maximum likelihood estimation and drawing method. The comparison of fitting degree of failure location between standard weibull distribution model and
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Oluyede, Broderick. "The Gamma-Weibull-G Family of Distributions with Applications." Austrian Journal of Statistics 47, no. 1 (2018): 45–76. http://dx.doi.org/10.17713/ajs.v47i1.155.

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Weibull distribution and its extended families has been widely studied in lifetime applications. Based on the Weibull-G family of distributions and the exponentiated Weibull distribution, we study in detail this new class of distributions, namely, Gamma-WeibullG family of distributions (GWG). Some special models in the new class are discussed. Statistical properties of the family of distributions, such as expansion of density function, hazard and reverse hazard functions, quantile function, moments, incomplete moments, generating functions, mean deviations, Bonferroni and Lorenz curves and ord
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Xu, Jiajin. "From Zhentong Gao Method to Generalized Zhentong Gao Method." Journal of Physics: Conference Series 2650, no. 1 (2023): 012013. http://dx.doi.org/10.1088/1742-6596/2650/1/012013.

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Abstract It is found that the data of structural fatigue life are mostly in accordance with Weibull distribution rather than Gaussian distribution, but the biggest obstacle affecting the application of Weibull distribution is that the estimation of its three- parameters will encounter difficulties in mathematical derivation and complicated calculation. Based on the estimation of correlation coefficient, the author has proposed Zhentong Gao method (Z.T. Gao method) which can avoid these difficulties. Further research found that the idea of Z.T. Gao method can be used to directly calculate the m
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Gu, Ying Kui, and Jing Li. "Engine Failure Data Analysis Method Based on Weibull Distribution Model." Applied Mechanics and Materials 128-129 (October 2011): 850–54. http://dx.doi.org/10.4028/www.scientific.net/amm.128-129.850.

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The failure data of crank rod system was analyzed by using weibull parallel model on the base of the simple weibull method. The distribution parameters of the weibull parallel model were estimated by using drawing method. The solving process of WPP drawing method was given in detial. Results show that the fitting degree of the failure data in the weibull parallel model is higher than that of the simple weibull distribution model, and it can more accurately described the failure distribution curve of the system in life cycle, which can provide necessary information for engine reliability indexe
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Alharbi, Talal, and Farag Hamad. "An Optimal Strategy for Estimating Weibull distribution Parameters by Using Maximum Likelihood Method." Statistics, Optimization & Information Computing 12, no. 5 (2024): 1342–51. http://dx.doi.org/10.19139/soic-2310-5070-2019.

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Several methods have been used to estimate the Weibull parameters such as least square method (LSM), weighted least square method (WLSM), method of moments (MOM), and maximum likelihood (MLE). The maximum likelihood method is the most popular method (MLE). Newton-Raphson method has been applied to solve the normal equations of MLE’s in order to estimate the Weibull parameters. The method was used to find the optimal values of the Weibull distribution parameters for which the log-likelihood function is maximized. We tried to find the approximation solution to the normal equations of the MLE’s b
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Jiajin Xu. "Using Monte Carlo method to Upgrade Zhentong Gao method." World Journal of Advanced Research and Reviews 22, no. 2 (2024): 633–40. http://dx.doi.org/10.30574/wjarr.2024.22.2.1391.

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In recent decades, it has been found that the three-parament Weibull distribution plays an increasingly important role in the fields such as structural fatigue and reliability. However, the complexity of estimating these three parameters greatly affects the application of the Weibull distribution. In the past three years, the author has successively proposed the Zhentong Gao Method and the Generalized Zhentong Gao Method, which have effectively solved this problem. However, it has also been found that there is room for improvement in these two methods. That's what this paper is about, how to u
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9

Park, Chanseok. "A Note on the Existence of the Location Parameter Estimate of the Three-Parameter Weibull Model Using the Weibull Plot." Mathematical Problems in Engineering 2018 (October 9, 2018): 1–6. http://dx.doi.org/10.1155/2018/6056975.

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The Weibull model is one of the widely used distributions in reliability engineering. For the parameter estimation of the Weibull model, there are several existing methods. The method of the maximum likelihood estimation among others is preferred because of its attractive statistical properties. However, for the case of the three-parameter Weibull model, the method of the maximum likelihood estimation has several drawbacks. To avoid the drawbacks, the method using the sample correlation from the Weibull plot is recently suggested. In this paper, we provide the justification for using this new
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Ali, Sajid, Hongbae Park, Adnan Aslam Noon, Aamer Sharif, and Daeyong Lee. "Accuracy Testing of Different Methods for Estimating Weibull Parameters of Wind Energy at Various Heights above Sea Level." Energies 17, no. 9 (2024): 2173. http://dx.doi.org/10.3390/en17092173.

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The Weibull algorithm is one of the most accurate tools for forecasting and estimating wind energy potential. Two main parameters of the Weibull algorithm are the ‘Weibull shape’ and ‘Weibull scale’ factors. There are six different numerical methods to estimate the two Weibull parameters. These six methods are the empirical method of Justus (method 1), the empirical method of Lysen (method 2), the maximum likelihood method (method 3), the modified maximum likelihood method (method 4), the energy pattern factor method (method 5) and the graphical method (method 6). Many commercial wind energy s
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Dissertations / Theses on the topic "Weibull method"

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Abeyratne, Anura T. "Comparison of k-Weibull populations under random censoring /." free to MU campus, to others for purchase, 1996. http://wwwlib.umi.com/cr/mo/fullcit?p9737910.

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Hartley, Michael A. "A simulation study of the error induced in one-shine reliability confidence bounds for the Weiball distribution using a small sample size with heavily censored data /." Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2004. http://library.nps.navy.mil/uhtbin/hyperion/04Dec%5FHartley.pdf.

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Güimil, Fernando. "Comparing the Maximum Likelihood Method and a Modified Moment Method to fit a Weibull distribution to aircraft engine failure time data." Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1997. http://handle.dtic.mil/100.2/ADA337364.

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Güimil, Fernando. "Comparing the Maximum Likelihood Method and a Modified Moment Method to fit a Weibull distribution to aircraft engine failure time data." Thesis, Monterey, California. Naval Postgraduate School, 1997. http://hdl.handle.net/10945/8112.

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Approved for public release; distribution is unlimited.<br>This thesis provides a comparison of the accuracies of two methods for fitting a Weibull distribution to a set of aircraft engines time between failure data. One method used is the Maximum Likelihood Method and assumes that these engine failure times are independent. The other method is a Modified Method of Moments procedure and uses the fact that if time to failure T has a Weibull distribution with scale parameter lambda and shape parameter beta, then T(beta) has an exponential distribution with scale parameter lambda(beta). The latte
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Kuhlhoff, Igor Ribeiro. "Method for application of weibull distribution to the reliability calculation of functional safety for industrial machinery." reponame:Repositório Institucional da UFSC, 2014. https://repositorio.ufsc.br/xmlui/handle/123456789/132745.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro Tecnológico, Programa de Pós-Graduação em Engenharia de Automação e Sistemas, Florianópolis, 2014.<br>Made available in DSpace on 2015-05-12T04:03:06Z (GMT). No. of bitstreams: 1 333353.pdf: 5233518 bytes, checksum: 599b6c026148a94e45d4b00a33f14b78 (MD5) Previous issue date: 2014<br>O desenvolvimento de sistemas elétricos e eletrônicos permitiu a massificação do uso de dispositivos eletrônicos programáveis para comando e controle de operações de sistemas técnicos. Tais dispositivos possibilitaram o desenvolvimento de sis
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Hartley, Michael A. "A simulation study of the error induced in one-sided reliability confidence bounds for the Weiball distribution using a small sample size with heavily censored data." Thesis, Monterey California. Naval Postgraduate School, 2004. http://hdl.handle.net/10945/1260.

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Approved for public release; distribution in unlimited.<br>Budget limitations have reduced the number of military components available for testing, and time constraints have reduced the amount of time available for actual testing resulting in many items still operating at the end of test cycles. These two factors produce small test populations (small sample size) with "heavily" censored data. The assumption of "normal approximation" for estimates based on these small sample sizes reduces the accuracy of confidence bounds of the probability plots and the associated quantities. This creates a pr
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Michaut, Vincent. "Modélisation de la fragmentation dynamique par la méthode des éléments discrets." Phd thesis, Ecole Centrale Paris, 2011. http://tel.archives-ouvertes.fr/tel-00601766.

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L'objectif de ce travail de thèse a été de modéliser avec une méthode aux éléments discrets la fracturation en tension, et plus particulièrement la fragmentation dynamique, sur des matériaux fragiles pour de hautes vitesses de déformation. La fragmentation est un phénomène irréversible, non linéaire et aléatoire. Elle intervient dans de nombreux domaines de la vie courante, quelque soit l'échelle considérée. La modélisation numérique de ce phénomène permettrait une prédiction de certains paramètres statistiques de la fragmentation, comme le nombre de fragments, la taille des fragments, la dist
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Rasche, Stefan. "Bestimmung von Materialparametern der elastisch-plastischen Verformung und des spröden Versagens aus Small-Punch-Kleinstproben." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2013. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-116905.

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Der Small-Punch-Test (SPT) ist eine vielversprechende minimalinvasive mechanische Prüfmethode, wenn nur sehr wenig Material für Proben zur Verfügung steht. Die vorliegende Arbeit hat das Ziel, aus Small-Punch-Kleinstproben wahre Materialparameter der elastisch-plastischen Verformung und des spröden Versagens zu bestimmen. Die Kraft-Verschiebungs-Kurve des Versuchs stellt die nichtlineare Materialantwort der inhomogen beanspruchten Probe dar. Das inverse Problem der Identifikation konstitutiver Materialparameter wird numerisch mit Hilfe von Finite-Elemente-Simulationen in Verbindung mit einem R
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Donato, Gustavo Henrique Bolognesi. "Efeitos de heterogeneidades mecânicas sobre forças motrizes de trinca em juntas soldadas: determinação experimental de tenacidade e extensão de metodologias de avaliação de criticidade de defeitos." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/3/3135/tde-02022009-161547/.

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Este trabalho apresenta uma avaliação dos efeitos de juntas soldadas dissimilares sobre forças motrizes de trinca e o desenvolvimento de procedimentos adaptados baseados em critérios mecânicos e micromecânicos para avaliação de defeitos em juntas soldadas incorporando efeitos de dissimilaridades mecânicas. A motivação central reside na forte expansão da indústria nacional de petróleo e a crescente demanda por aumento de produtividade aliado ao aumento na segurança operacional de sistemas dutoviários e estruturas correlatas. Para que tal intento seja atingido, é inicialmente apresentada uma des
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Konečná, Tereza. "Modely s Weibullovým rozdělením." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2017. http://www.nusl.cz/ntk/nusl-318651.

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Tato diplomová práce se zabývá Weibullovými modely, přesněji dvouparametrickým Weibullovým rozdělením. Práce se zabývá odhady parametrů, a to čtyřmi variantami kvantilové metody, metodou maximální věrohodnosti a grafickou metodou Weibullova pravděpodobnostního grafu. Je uvedeno odvození odhadu parametrů pro jednovýběrovou analýzu rozptylu pro Weibullovo rozdělení. Jsou zde odvozeny vztahy pro model s konstantním parametrem alfa, s konstantním parametrem beta a s oběma konstantními parametry. Také jsou uvedeny testové statistiky pro rušivé parametry - skórový test, Waldův test a test založený n
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Books on the topic "Weibull method"

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Gross, Bernard. Least squares best fit method for the three parameter Weibull distribution: Analysis of tensile and bend specimens with volume or surface flaw failure. National Aeronautics and Space Administration, Langley Research Center, 1996.

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Güimil, Fernando. Comparing the Maximum Likelihood Method and a Modified Moment Method to fit a Weibull distribution to aircraft engine failure time data. Naval Postgraduate School, 1997.

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J, Hu, Hopkins D. A, and Lewis Research Center, eds. An overview of engineering concepts and current design algorithms for probabilistic structural analysis. NASA Lewis Research Center, 1995.

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M, Steinetz Bruce, and United States. National Aeronautics and Space Administration., eds. Thermal and structural assessments of a ceramic wafer seal in hypersonic engines. National Aeronautics and Space Administration, 1991.

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Abernethy, Robert B. The new Weibull handbook. 3rd ed. R.B. Abernethy, 1998.

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Abernethy, Robert B. The new Weibull handbook. 2nd ed. R.B. Abernethy, 1996.

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Lee, Hyeon-Soo. Approximate interval estimation methods for the reliability of systems using component data with exponential and Weibull distributions. Naval Postgraduate School, 1989.

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1919-, Eggwertz S., Lind N. C. 1930-, Weibull Waloddi 1887-1979, International Union of Theoretical and Applied Mechanics., and IUTAM Symposium on Probabilistic Methods in the Mechanics of Solids and Structures (1984 : Stockholm, Sweden), eds. Probabilistic methods in the mechanics of solids and structures: Symposium, Stockholm, Sweden, June 19-21, 1984 : to the memory of Waloddi Weibull. Springer-Verlag, 1985.

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Eggwertz, Sigge. Probabilistic Methods in the Mechanics of Solids and Structures: Symposium Stockholm, Sweden June 19-21, 1984 To the Memory of Waloddi Weibull. Springer Berlin Heidelberg, 1985.

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Least squares best fit method for the three parameter Weibull distribution: Analysis of tensile and bend specimens with volume or surface flaw failure. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1996.

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Book chapters on the topic "Weibull method"

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Jumaah, Omar Mahmood, Mustafa W. Hamadalla, Karam Hashim Mohammed, Ehssan M. A. Ibrahim, Mohammed N. Yousif, and Sohaib N. Abdullah. "Wind Energy Productivity Evaluation Using Weibull Statistical Method." In Lecture Notes in Networks and Systems. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4355-9_37.

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Ye, Tian, He Heping, and Zhang Yu. "Approximate Analytical Method of Maximum Likelihood Estimation of Weibull Distribution." In Proceedings of the 2022 International Conference on Mathematical Statistics and Economic Analysis (MSEA 2022). Atlantis Press International BV, 2023. http://dx.doi.org/10.2991/978-94-6463-042-8_97.

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Zhang, Tao, Yongsheng Xu, Amemg Zhu, Wenbin Su, and Weibo Li. "Weibull Distributed Reliability Evaluation Method for Variable Pitch System of Wind Turbine." In Lecture Notes in Electrical Engineering. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-2080-7_41.

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Li, Zheng, Jingbin Liu, Zemin Wang, and Ruizhi Chen. "A Novel Fingerprinting Method of WiFi Indoor Positioning Based on Weibull Signal Model." In Lecture Notes in Electrical Engineering. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0005-9_25.

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Piña-Monarrez, Manuel R., and Paulo Sampaio. "Weibull Reliability Method for Several Fields Based Only on the Modeled Quadratic Form." In Innovative Applications in Smart Cities. CRC Press, 2021. http://dx.doi.org/10.1201/9781003191148-21.

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de Rijk, W. G., J. A. Tesk, R. W. Penn, and J. Marsh. "Applications of the Weibull Method of Statistical Analysis of Strength Parameters of Dental Materials." In Progress in Biomedical Polymers. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4899-0768-4_15.

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J, Anuradha, Soundarrajan A, and Rajan Singaravel M. M. "Long-Term Forecasting of Hybrid Renewable Energy Potential Using Weibull Distribution Method in Coimbatore." In Proceedings of International Conference on Artificial Intelligence, Smart Grid and Smart City Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-24051-6_27.

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Abubakar, Hamza, and Shamsul Rijal Muhammad Sabri. "Simulated Annealing Algorithm as Heuristic Search Method in the Weibull Distribution for Investment Return Modelling." In Digital Economy, Business Analytics, and Big Data Analytics Applications. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05258-3_32.

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Abebaw Gessesse, Adane, and Rajashree Mishra. "Genetic Algorithm-Based Fuzzy Programming Method for Multi-objective Stochastic Transportation Problem Involving Three-Parameter Weibull Distribution." In Advances in Intelligent Systems and Computing. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5411-7_11.

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Lin, Qindong, Chun Feng, Jianfei Yuan, Wenjun Jiao, and Yundan Gan. "Effect of Mesoscopic Heterogeneity of Concrete on the Macro-mechanical Behavior." In Lecture Notes in Civil Engineering. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-4090-1_22.

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AbstractConcrete is a typical heterogeneous and multiscale material, and the macro-mechanical response is affected by the meso-scale geometric structure and mechanical parameters. Based on the continuum-discontinuum element method, this study conducts the numerical simulation and quantitively studies the change trend of macro-mechanical response with the different mesoscopic heterogeneity. First, a full-time numerical simulation is conducted, and the elastic modulus and cohesive strength at the meso-scale are assumed to obey the Weibull distribution. Then, the change trend of macro-mechanical
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Conference papers on the topic "Weibull method"

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Chen, Hui, Lizhe Wang, Jinhai Yu, Linlong Ma, and Shilei Shen. "Research on APU Life Prediction Method Based on Weibull Distribution." In 2024 Global Reliability and Prognostics and Health Management Conference (PHM-Beijing). IEEE, 2024. https://doi.org/10.1109/phm-beijing63284.2024.10874525.

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Carollo, Francesco Giuseppe, Maria Angela Serio, Roberto Caruso, Costanza Di Stefano, Vito Ferro, and Vincenzo Pampalone. "Measurement Method of Rainfall Energetic Characteristics Applying the Weibull Drop Size Distribution." In 2024 IEEE International Workshop on Metrology for Agriculture and Forestry (MetroAgriFor). IEEE, 2024. https://doi.org/10.1109/metroagrifor63043.2024.10948833.

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Benton, Robert. "Fatigue Load Spectra for a Conventional Military Rotorcraft." In Vertical Flight Society 71st Annual Forum & Technology Display. The Vertical Flight Society, 2015. http://dx.doi.org/10.4050/f-0071-2015-10249.

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This paper extends the author's prior effort to provide a framework for fair, early, and meaningful assessment of rotorcraft fatigue durability. In this paper a comprehensive set of fatigue load spectra have been characterized for a conventional military rotorcraft and provided for potential future use by the reader. The author's method of mixed-Weibull parameterization has been improved over the prior method. Mixed-Weibull parameterization allows grouping of various sets of load paths as well as analytical comparison of the distributions. This paper includes an assessment of sensitivity to ch
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Huspeni, Paul J., Ly Le, Wei Liu, Elli Saravanos, and Shannon Adkins. "Weibull Analysis Method Applied to Optical Fiber Breaking Stress Data." In ASME 2009 InterPACK Conference collocated with the ASME 2009 Summer Heat Transfer Conference and the ASME 2009 3rd International Conference on Energy Sustainability. ASMEDC, 2009. http://dx.doi.org/10.1115/interpack2009-89217.

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This paper details application of a 2-parameter Weibull maximum likelihood estimation (MLE) method to optical fiber breaking stress data. Optical fiber is used in a broad range of telecommunications applications and its associated performance in fabricated component assemblies is of critical importance to the proper functioning of telecom networks. Fiber optic components incorporating stripped optical fiber include optical couplers, optical splitters, WDM devices, connectors, and mechanical and fusion splices. The strength of optical fiber in component assemblies is dependent upon numerous asp
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GUERRETTE, DEBORAH, and CHARLES NASH, JR. "A Weibull based cumulative fatigue failure prediction method." In Advanced Marine Vehicles Conference. American Institute of Aeronautics and Astronautics, 1989. http://dx.doi.org/10.2514/6.1989-1516.

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Ling, Dan, Hong-Zhong Huang, and Yu Liu. "A method for parameter estimation of Mixed Weibull distribution." In 2009 Annual Reliability and Maintainability Symposium (RAMS). IEEE, 2009. http://dx.doi.org/10.1109/rams.2009.4914663.

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Metcalf, Justin G., K. James Sangston, Muralidhar Rangaswamy, Shannon D. Blunt, and Braham Himed. "A new method of generating multivariate Weibull distributed data." In 2016 IEEE Radar Conference (RadarConf16). IEEE, 2016. http://dx.doi.org/10.1109/radar.2016.7485287.

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Badawi, Ahmed Samir, Mohamed Ouda, Alhareth Zyoud, and Siti Hajar Yusoff. "The Simplest Estimation Method of Weibull Probability Distribution Parameters." In 2021 6th IEEE International Conference on Recent Advances and Innovations in Engineering (ICRAIE). IEEE, 2021. http://dx.doi.org/10.1109/icraie52900.2021.9703996.

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Chati, Mandar, Curtis Johnson, Ahmet Kaya, and Bjoern Schenk. "Confidence Intervals for Weibull Fast-Fracture Parameters." In ASME Turbo Expo 2002: Power for Land, Sea, and Air. ASMEDC, 2002. http://dx.doi.org/10.1115/gt2002-30501.

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Practical limits on number of specimens that can be tested lead to uncertainty in the estimated Weibull parameters. This paper presents an evaluation of four techniques for estimating confidence intervals for size-scaled Weibull parameters of monolithic ceramics. The techniques include normal approximation method, likelihood ratio technique, nonparametric bootstrap, and parametric bootstrap methods. For uncensored fast-fracture data, the confidence intervals for Weibull parameters are compared to the method used in ASTM Standard C1239. A simulation fracture experiment is conducted to evaluate
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Ao, Liang, and Qihua Wang. "Linear Regression Method for Binary Life Data from Weibull Distribution." In 2011 International Conference on Information Technology, Computer Engineering and Management Sciences (ICM). IEEE, 2011. http://dx.doi.org/10.1109/icm.2011.333.

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