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Modified generalized Weibull distribution: theory and applications [PDF]
Scientific Reports, 2023 This article presents and investigates a modified version of the Weibull distribution that incorporates four parameters and can effectively represent a hazard rate function with a shape resembling a bathtub. Its significance in the fields of lifetime and
Mustafa S. Shama +7 more
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Peakons and Persistence Properties of Solution for the Interacting System of Popowicz
Mathematics, 2023 This paper focuses on a two-component interacting system introduced by Popowicz, which has the coupling form of the Camassa–Holm and Degasperis–Procesi equations.
Yaohong Li, Chunyan Qin
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AppliedMath, 2022 Discussions are presented by Morita and Sato on the problem of obtaining the particular solution of an inhomogeneous differential equation with polynomial coefficients in terms of the Green’s function.
Tohru Morita
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Mathematics, 2020 We introduce a new multivariate regression model based on the generalized Poisson distribution, which we called geographically-weighted multivariate generalized Poisson regression (GWMGPR) model, and we present a maximum likelihood step-by-step procedure
Sarni Maniar Berliana +3 more
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On using Shannon entropy measure for formulating new weighted exponential distribution
Journal of Taibah University for Science, 2022 In this article, a new class of weighted exponential distribution called Entropy-Based Exponential weighted distribution (EBEWD) is proposed. The main idea of the new lifetime distribution is in using the Shannon entropy measure as a weighted function ...
Amjad D. Al-Nasser +2 more
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Mathematics, 2021 Discussions are presented by Morita and Sato in Mathematics 2017; 5, 62: 1–24, on the problem of obtaining the particular solution of an inhomogeneous ordinary differential equation with polynomial coefficients in terms of the Green’s function, in the ...
Tohru Morita, Ken-ichi Sato
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Solution of Euler’s Differential Equation in Terms of Distribution Theory and Fractional Calculus
Mathematics, 2020 For Euler’s differential equation of order n, a theorem is presented to give n solutions, by modifying a theorem given in a recent paper of the present authors in J. Adv. Math. Comput. Sci.
Tohru Morita, Ken-ichi Sato
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Recent Developments in Mixed Poisson Distributions
ASM Science Journal, 2021 Mixed Poisson distributions are a class of distributions arising from the Poisson mean fluctuating as a random variable. Mixed Poisson distributions have been applied in diverse disciplines for modelling non-homogeneity in populations.
Seng Huat Ong +2 more
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The Cauchy Distribution in Information Theory
Entropy, 2023 The Gaussian law reigns supreme in the information theory of analog random variables. This paper showcases a number of information theoretic results which find elegant counterparts for Cauchy distributions.
Sergio Verdú
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On Multivariate Distribution Theory
The Annals of Mathematical Statistics, 1954 This paper is concerned with a matrix method of deriving the sampling distributions of a large class of statistics directly from the probability law for random samples from a multivariate normal population, that is without assuming the Wishart distribution or the distribution of rectangular coordinates.
Olkin, I., Roy, S. N.
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