Relevant bibliographies by topics / 4-parameter lognormal distribution

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Academic literature on the topic '4-parameter lognormal distribution'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "4-parameter lognormal distribution"

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FLYNN, MICHAEL R. "On the Moments of the 4-Parameter Lognormal Distribution." Communications in Statistics - Theory and Methods 34, no. 4 (2005): 745–51. http://dx.doi.org/10.1081/sta-200054397.

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Jinxin, Deng, Chen Lin, Lu Sitong, Hou Yuxin, Huang Wenjun, and Cheng Xiaoquan. "Damage distribution of composite structures of a certain type of aircraft." Scientific Insights and Discoveries Review 6 (October 14, 2024): 294–309. http://dx.doi.org/10.59782/sidr.v6i1.215.

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Aiming at the damage and repair of aircraft composite structures, the applications and damage of composite structures in a certain type of aircraft, including the wing, fuselage and other components, were counted. Solid laminates (integral panels) and sandwich laminates are typical composite structural forms in the aircraft. Structural damage distribution models with time variable were established, and then the damage distributions of the structures were fitted and tested by structural methods. The results show that the quantitative proportions of damage are 75% for skin delamination, 20% for
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Avakov, V. A., and R. G. Shomperlen. "Fatigue Reliability Functions." Journal of Vibration and Acoustics 111, no. 4 (1989): 443–55. http://dx.doi.org/10.1115/1.3269881.

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There are many fatigue test and statistical procedures to establish the life distribution function Q = Q(N) at constant stress (S) level. But the stress distribution function, Q = Q(S), at specified life (N) is more important to the designer, and it remains less developed. Generally, if the fatigue life distribution Q(N) and fatigue curve S(N) equations are defined, the fatigue strength distribution Q(S) is implied. However, it has been shown [4, 6, 7, 9] that any life distribution model Q(N) may be transformed into the complicated strength distribution function Q(S). In this study orthogonal
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Omar, M. Hafidz, Sheikh Y. Arafat, M. Pear Hossain, and Muhammad Riaz. "Inverse Maxwell Distribution and Statistical Process Control: An Efficient Approach for Monitoring Positively Skewed Process." Symmetry 13, no. 2 (2021): 189. http://dx.doi.org/10.3390/sym13020189.

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(1) Background: The literature discusses the inverse Maxwell distribution theoretically without application. Control charting is promising, but needs development for inverse Maxwell processes. (2) Methods: Thus, we develop the VIM control chart for monitoring the inverse Maxwell scale parameter and studied its statistical properties. The chart’s performance is evaluated using power curves and run length properties. (3) Results: Further, we use simulated data to compare the shift detection capability of our chart with Weibull, gamma, and lognormal charts. (4) Conclusion: The analysis demonstrat
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Sommer, Martin W., Tim Schrabback, Douglas E. Applegate, et al. "Weak lensing mass modeling bias and the impact of miscentring." Monthly Notices of the Royal Astronomical Society 509, no. 1 (2021): 1127–46. http://dx.doi.org/10.1093/mnras/stab3052.

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ABSTRACT Parametric modeling of galaxy cluster density profiles from weak lensing observations leads to a mass bias, whose detailed understanding is critical in deriving accurate mass-observable relations for constraining cosmological models. Drawing from existing methods, we develop a robust framework for calculating this mass bias in one-parameter fits to simulations of dark matter haloes. We show that our approach has the advantage of being independent of the absolute noise level, so that only the number of haloes in a given simulation and the representativeness of the simulated haloes for
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Maccone, Claudio. "SETI, Evolution and Human History Merged into a Mathematical Model." International Journal of Astrobiology 12, no. 3 (2013): 218–45. http://dx.doi.org/10.1017/s1473550413000086.

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AbstractIn this paper we propose a new mathematical model capable of merging Darwinian Evolution, Human History and SETI into a single mathematical scheme:(1) Darwinian Evolution over the last 3.5 billion years is defined as one particular realization of a certain stochastic process called Geometric Brownian Motion (GBM). This GBM yields the fluctuations in time of the number of species living on Earth. Its mean value curve is an increasing exponential curve, i.e. the exponential growth of Evolution.(2) In 2008 this author provided the statistical generalization of the Drake equation yielding
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Chen, Wenjun. "Tree Size Distribution Functions of Four Boreal Forest Types for Biomass Mapping." Forest Science 50, no. 4 (2004): 436–49. http://dx.doi.org/10.1093/forestscience/50.4.436.

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Abstract To accurately map forest biomass, which is essential for many socioeconomic and environmental studies, reliable information of tree size distribution within a stand is needed. Using measurements at 87 stands of trembling aspen (Populous tremuloides Michx.), jack pine (Pinus banksiana Lamb.), black spruce (Picea mariana [Mill.] BSP.), and mixed forests along a 1,000-km boreal forest transect in western Canada, we investigated three methods for estimating tree size distribution: parameter prediction method for diameter-frequency distribution (PPM-Nk/N), PPM for diameter-basal area distr
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Ohdoko, Taro, and Satoru Komatsu. "Integrating a Pareto-Distributed Scale into the Mixed Logit Model: A Mathematical Concept." Mathematics 11, no. 23 (2023): 4727. http://dx.doi.org/10.3390/math11234727.

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A generalized multinomial logit (G-MNL) model is proposed to alleviate the four challenges inherent to the conditional logit model, including (1) simultaneous unidentifiability, (2) the immediacy of decision-making, (3) the homogeneity of preferences in unobservable variables, and (4) the independence of irrelevant alternatives. However, the G-MNL model has some restrictions that are caused by the assumed logit scale of the lognormal distribution used in the G-MNL model. We propose a mixed logit with integrated Pareto-distributed scale (MIXL-iPS) model to address the restriction of the G-MNL m
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Oudard, S., F. Joulain, A. De Geer, and A. O. Sartor. "Cabazitaxel or mitoxantrone with prednisone in patients with metastatic castration-resistant prostate cancer (mCRPC) previously treated with docetaxel: Estimating mean overall survival (OS) for health economic analyses from a phase III trial (TROPIC)." Journal of Clinical Oncology 29, no. 7_suppl (2011): 128. http://dx.doi.org/10.1200/jco.2011.29.7_suppl.128.

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128^ Background: TROPIC evaluated the efficacy and safety of the novel taxane cabazitaxel in men with mCRPC previously treated with docetaxel. Median OS was significantly improved, as previously reported (12.7 months in mitoxantrone arm vs 15.1 months in cabazitaxel arm, HR=0.72 [0.61 – 0.84], p<0.0001- updated OS results). Median OS is the most useful descriptive statistic for physicians and patients as it reflects a point estimate in time by which 50% patients may survive regardless of disease status or progression. It avoids assumptions on long-term survival beyond the follow-up period o
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Mage, David, E. Donner, Mechtild Vennemann, et al. "All sudden unexplained infant respiratory deaths may result from the same underlying mechanism." Scandinavian Journal of Forensic Science 18, no. 1 (2012): 1–9. http://dx.doi.org/10.2478/v10278-012-0001-6.

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All sudden unexplained infant respiratory deaths may result from the same underlying mechanism The Sudden Infant Death Syndrome (SIDS) was defined in 1969 by Beckwith as sudden death of an infant or young child, unexpected by medical history, remaining unexplained after thorough autopsy/death-scene investigation. Recently researchers have used the general terms Sudden Unexplained Death in Infancy (SUDI) and Sudden Unexpected Infant Death (SUID) as "umbrella-terms" covering unexplained deaths (SIDS); sudden deaths for which SIDS risk factors present but insufficient cause is found; and sudden d
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Book chapters on the topic "4-parameter lognormal distribution"

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DaCamara, Carlos C., José M. C. Pereira, Renata Libonati, and Sílvia A. Nunes. "A statistical model of Fire Radiative Power released by wildfires at the global scale." In Advances in Forest Fire Research 2022. Imprensa da Universidade de Coimbra, 2022. http://dx.doi.org/10.14195/978-989-26-2298-9_144.

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Characterization of large-scale fire regimes associated to patterns of fire activity is especially relevant because they reflect the complex interplay of meteorological, landscape, and human factors. We present a statistical model with 8 parameters that adequately describes satellite derived fire radiative power (FRP) at the global scale and over large areas with given fire regimes. The statistical model combines three components, namely a truncated lognormal distribution central body with a lower and an upper tail, both consisting of Generalized Pareto (GP) distributions. The model is fitted
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Mulla, D. J., and A. P. Mallawatantri. "Site-Specific Management of Flow and Transport in Homogeneous and Structured Soils." In Vadose Zone Hydrology. Oxford University Press, 1999. http://dx.doi.org/10.1093/oso/9780195109900.003.0019.

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Among research publications in soil science, few have had a greater impact than those by Nielsen et al. (1973) or Biggar and Nielsen (1976). According to Science Citation Index, the former paper, entitled “Spatial variability of field-measured soilwater properties,” has been cited by scientific peers over 390 times. The 1976 paper, entitled “Spatial variability of the leaching characteristics of a field soil,” has been cited over 232 times. Experimental work presented in both papers represents the first-ever attempt at a large field-scale study of steady-state water and solute transport (Wagen
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