Results 31 to 40 of about 164 (136)

Certain Properties and Applications of Generalized Gamma and Beta Distributions

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Special functions frequently arise in many areas of mathematics, physics, and engineering. In this research paper, we consider two well‐known special functions: the generalized gamma function Γk(h) and the generalized beta function βk(g, h). We investigate two important extensions of the classical probability distributions, namely the k‐gamma and k ...
Syed Ali Haider Shah, Aftab Azhar, Imran Siddique, Mohamed Abubakar Fiidow, Zenghui Hu   +4 more
wiley   +1 more source

Stochastic orderings induced by star‐shaped functions

International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 639-664, 1991., 1991
The non‐decreasing functions whicl are star‐shaped and supported above at each point of a non‐empty closed proper subset of the real line induce an ordering, on the class of distribution functions with finite first moments, that is strictly weaker than first degree stochastic dominance and strictly stronger than second degree stochastic dominance ...
Henry A. Krieger
wiley   +1 more source

On comprehensive families of copulas involving the three basic copulas and transformations thereof

Dependence Modeling
Comprehensive families of copulas including the three basic copulas (at least as limit cases) are useful tools to model countermonotonicity, independence, and comonotonicity of pairs of random variables on the same probability space. In this contribution,
Saminger-Platz Susanne, Kolesárová Anna, Šeliga Adam, Mesiar Radko, Klement Erich Peter   +4 more
doaj   +1 more source

Some applications of the Archimedean copulas in the proof of the almost sure central limit theorem for ordinary maxima

Open Mathematics, 2017
Our goal is to state and prove the almost sure central limit theorem for maxima (Mn) of X1, X2, ..., Xn, n ∈ ℕ, where (Xi) forms a stochastic process of identically distributed r.v.’s of the continuous type, such that, for any fixed n, the family of r.v.’
Dudziński Marcin, Furmańczyk Konrad
doaj   +1 more source

Modelling with star-shaped distributions

Dependence Modeling, 2020
We prove and describe in great detail a general method for constructing a wide range of multivariate probability density functions. We introduce probabilistic models for a large variety of clouds of multivariate data points.
Liebscher Eckhard, Richter Wolf-Dieter
doaj   +1 more source

Exploring the Applications of Bicomplex Confluent Hypergeometric Functions in Fractional Calculus and Statistical Distributions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a special version of hypergeometric functions constructed within the bicomplex system, referred to as the bicomplex confluent hypergeometric functions (BCHFs). We highlight important properties, concentrating on their structure with bicomplex numbers, their conditions for convergence, and their differential representation.
Mohra Zayed, Ahmed Bakhet, Shahid Hussain, Aya M. Mourad, Luigi Rarità   +4 more
wiley   +1 more source

A generalization of the global limit theorems of R. P. Agnew

International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 365-374, 1988., 1987
For distribution functions {Fn, n ≥ 0}, the relationship between the weak convergence of Fn to F0 and the convergence of ∫Rϕ(|Fn − F0|)dx to 0 is studied where ϕ is a nonnegative, nondecreasing function. Sufficient and, separately, necessary conditions are given for the latter convergence thereby generalizing the so‐called global limit theorems of ...
Andrew Rosalsky
wiley   +1 more source

Penyesuaian distribusi proses keberangkatan sepeda motor dari lahan parkir saat waktu puncak

Majalah Ilmiah Matematika dan Statistika, 2023
The study aims to model the distribution of motorcycle departures from the parking lot at peak times with the Poisson process approach. This process involves a discrete number of departures and continuous interdeparture time. The probability distribution
Rifdatun Ni'mah, Regita Putri Permata
doaj   +1 more source

A q‐Logarithmic Deformation of the Unit Burr‐XII Distribution for Bounded Data: Properties, Inference, and Quantile Regression With Biomedical Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Bounded data defined on the unit interval commonly arise in biostatistics, epidemiology, environmental sciences, economics, and risk modeling. Classical unit distributions are widely useful for modeling such data. Such models may provide limited flexibility when the data exhibit pronounced skewness or complex hazard rate behavior. This paper introduces
Hanan Haj Ahmad, Ahmed El-Bassiouny, Mahmoud M. El-Awady, Smritijit Sen   +3 more
wiley   +1 more source

On the spectrum of a distribution function and on unique factorization

International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 4, Page 721-728, 1982., 1982
The spectrum of a distribution function is related to the quasi‐analyticity of a class of functions {CM(j)}, where M(j) is a multisequence of positive numbers. For a regular multisequence, a result on the uniqueness of characteristic function decomposition is given.
T. Pham-Gia
wiley   +1 more source