Results 21 to 30 of about 130 (124)

On hypergeometric generalized negative binomial distribution

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 12, Page 727-736, 2002., 2002
It is shown that the hypergeometric generalized negative binomial distribution has moments of all positive orders, is overdispersed, skewed to the right, and leptokurtic. Also, a three‐term recurrence relation for computing probabilities from the considered distribution is given.
M. E. Ghitany   +2 more
wiley   +1 more source

Matrix variate Kummer‐Dirichlet distributions

open access: yesJournal of Applied Mathematics, Volume 1, Issue 3, Page 117-139, 2001., 2001
The multivariate Kummer‐Beta and multivariate Kummer‐Gamma families of distributions have been proposed and studied recently by Ng and Kotz. These distributions are extensions of Kummer‐Beta and Kummer‐Gamma distributions. In this article we propose and study matrix variate generalizations of multivariate Kummer‐Beta and multivariate Kummer‐Gamma ...
Arjun K. Gupta   +2 more
wiley   +1 more source

Modeling maxima of longitudinal contralateral observations

open access: yes, 2008
Canonical fundamental skew-normal distribution, Exchangeability, Extended skew-normal distribution, Multivariate skew-normal distribution, Nonlinear prediction, 62E15, 62H10, 62P10,
LOPERFIDO, NICOLA MARIA RINALDO   +1 more
core   +1 more source

Matrix‐variate beta distribution

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 449-459, 2000., 2000
We propose matrix‐variate beta type III distribution. Several properties of this distribution including Laplace transform, marginal distribution and its relationship with matrix‐variate beta type I and type II distributions are also studied.
Arjun K. Gupta, Daya K. Nagar
wiley   +1 more source

Poisson–QLindley Regression Model: Theory and Applications

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Count data are frequently characterized by overdispersion and excess zeros. To address these challenges, we propose a new one‐parameter count distribution, called the Poisson–QLindley distribution, obtained through a mixed‐Poisson construction using the recently introduced QLindley distribution as the mixing distribution.
Emrah Altun   +3 more
wiley   +1 more source

On the noncentral distribution of the ratio of the extreme roots of wishart matrix

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 1, Page 147-154, 1981., 1981
The distribution of the ratio of the extreme latent roots of the Wishart matrix is useful in testing the sphericity hypothesis for a multivariate normal population. Let X be a p × n matrix whose columns are distributed independently as multivariate normal with zero mean vector and covariance matrix ∑.
V. B. Waikar
wiley   +1 more source

Comparative Analysis and Practical Applications of Cubic Transmutations for the Pareto Distribution

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Transmutation is a technique for extending classical probability distributions in order to give them more flexibility. In this paper, we are interested in cubic transmutations of the Pareto distribution. We establish a general formula that unifies the three existing cubic transmuted Pareto (CTP) distributions and facilitates the derivation of three new
Edoh Katchekpele   +3 more
wiley   +1 more source

Generalization of Log‐Xgamma Distribution: Applications and R Shiny Web‐Tool

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The two‐parameter xgamma distribution is employed to create a novel distribution that is suitable for bounded datasets within the interval (0, 1). A comprehensive analysis of the statistical properties of this newly proposed distribution is conducted.
Emrah Altun, Hana N. Alqifari, Jun Ye
wiley   +1 more source

On point estimators for Gamma and Beta distributions [PDF]

open access: yes, 2022
Let $X_1,\ldots,X_n$ be a random sample from the Gamma distribution with density $f(x)=\lambda^{\alpha}x^{\alpha-1}e^{-\lambda x}/\Gamma(\alpha)$, $x>0$, where both $\alpha>0$ (the shape parameter) and $\lambda>0$ (the reciprocal scale parameter) are ...
Papadatos, Nickos
core   +1 more source

Concomitants of Order Statistics from Marshall and Olkin's Bivariate Weibull Distribution

open access: yes, 2000
The probability density function (pdf) of the rth, 1 ≤ r ≤ n, concomitants of ordered statistics are derived for Marshall and Olkin's bivariate Weibull distribution and their moments are obtained. Also their means and variances are tabulated. AMS (2000)
Anjuman A. Begum, A. H. Khan
core   +1 more source

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