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A bimodal gamma distribution: properties, regression model and applications [PDF]

open access: yesStatistics (Berlin), 2020
In this paper, we propose a bimodal gamma distribution using a quadratic transformation based on the alpha-skew-normal model. We discuss several properties of this distribution such as mean, variance, moments, hazard rate and entropy measures.
Roberto Vila   +4 more
semanticscholar   +1 more source

Effect of Probability Distribution of the Response Variable in Optimal Experimental Design with Applications in Medicine

open access: yesMathematics, 2021
In optimal experimental design theory it is usually assumed that the response variable follows a normal distribution with constant variance. However, some works assume other probability distributions based on additional information or practitioner’s ...
Sergio Pozuelo-Campos   +2 more
doaj   +1 more source

Modeling Sage data with a truncated gamma-Poisson model

open access: yesBMC Bioinformatics, 2006
Background Serial Analysis of Gene Expressions (SAGE) produces gene expression measurements on a discrete scale, due to the finite number of molecules in the sample.
Zwinderman Aeilko H, Thygesen Helene H
doaj   +1 more source

Controlling factors on the global distribution of a representative marine non-cyanobacterial diazotroph phylotype (Gamma A) [PDF]

open access: yesBiogeosciences, 2022
Non-cyanobacterial diazotrophs may be contributors to global marine N2 fixation, although the factors controlling their distribution are unclear. Here, we explored what controls the distribution of the most sampled non-cyanobacterial diazotroph phylotype,
Z. Shao, Y.-W. Luo
doaj   +1 more source

A matrix approach to the statistics of longevity in heterogeneous frailty models

open access: yesDemographic Research, 2014
Background: The gamma-Gompertz model is a fixed frailty model in which baseline mortality increasesexponentially with age, frailty has a proportional effect on mortality, and frailty at birth follows a gamma distribution.
Hal Caswell
doaj   +1 more source

A Variance Gamma model for Rugby Union matches

open access: yesJournal of Quantitative Analysis in Sports (JQAS), 2020
Amid much recent interest we discuss a Variance Gamma model for Rugby Union matches (applications to other sports are possible). Our model emerges as a special case of the recently introduced Gamma Difference distribution though there is a rich history ...
J. Fry   +3 more
semanticscholar   +1 more source

Wasserstein and Kolmogorov Error Bounds for Variance-Gamma Approximation via Stein’s Method I [PDF]

open access: yesJournal of theoretical probability, 2017
The variance-gamma (VG) distributions form a four-parameter family that includes as special and limiting cases the normal, gamma and Laplace distributions.
Robert E. Gaunt
semanticscholar   +1 more source

The Semi-Hyperbolic Distribution and Its Applications

open access: yesStats, 2023
This paper studies a subclass of the class of generalized hyperbolic distribution called the semi-hyperbolic distribution. We obtain analytical expressions for the cumulative distribution function and, specifically, their first and second lower partial ...
Roman V. Ivanov
doaj   +1 more source

ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS

open access: yesMalaysian Journal of Computing, 2021
Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
doaj   +1 more source

Better performance for right-skewed data using an alternative gamma model

open access: yesBMC Medical Research Methodology, 2023
Background The Maximum Likelihood Estimator (MLE) for parameters of the gamma distribution is commonly used to estimate models of right-skewed variables such as costs, hospital length of stay, and appointment wait times in Economics and Healthcare ...
Peter Veazie   +3 more
doaj   +1 more source

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