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Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions [PDF]

open access: goldAxioms, 2022
In the present paper, due to beta negative binomial distribution series and Laguerre polynomials, we investigate a new family FΣ(δ,η,λ,θ;h) of normalized holomorphic and bi-univalent functions associated with Ozaki close-to-convex functions.
Isra Al-Shbeil   +3 more
doaj   +3 more sources

A compound of the generalized negative binomial distribution with the generalized beta distribution

open access: closedOpen Mathematics, 2004
Abstract This paper presents a compound of the generalized negative binomial distribution with the generalized beta distribution. In the introductory part of the paper, we provide a chronological overview of recent developments in the compounding of distributions, including the Polish results.
Gerstenkorn Tadeusz
doaj   +5 more sources

NEGATIVE BINOMIAL APPROXIMATION TO THE BETA BINOMIAL DISTRIBUTION [PDF]

open access: hybridInternational Journal of Pure and Apllied Mathematics, 2015
This paper determines a bound on the approximation of the beta binomial distribution with parameters n, andby a negative binomial distri- bution with parametersand + + +n . With this bound, it is indicated that the beta binomial distribution can be well approximated by the negative binomial distribution whenis large.
K. Teerapabolarn
openaire   +2 more sources

The importance of distribution-choice in modeling substance use data: a comparison of negative binomial, beta binomial, and zero-inflated distributions [PDF]

open access: greenThe American Journal of Drug and Alcohol Abuse, 2015
Background: It is important to correctly understand the associations among addiction to multiple drugs and between co-occurring substance use and psychiatric disorders. Substance-specific outcomes (e.g. number of days used cannabis) have distributional characteristics which range widely depending on the substance and the sample being evaluated ...
Brandie D. Wagner   +2 more
openaire   +4 more sources

Some Geometric Properties for a Class of Analytic Functions Defined by Beta Negative Binomial Distribution Series

open access: goldEarthline Journal of Mathematical Sciences, 2022
In the present paper, we introduce and study a subclass of analytic and univalent functions associated with Beta negative binomial distribution series which is defined in the open unit disk U. We discuss some important geometric properties of this subclass, like, coefficient estimates, extreme points and integral representation. Also, we obtain results
Abbas Kareem Wanas   +1 more
openaire   +3 more sources

A Certain Families of Bi-Univalent Functions with Respect to Symmetric Conjugate Points Defined by Beta Negative Binomial Distribution Series

open access: goldJournal of Al-Qadisiyah for Computer Science and Mathematics, 2023
The objective of this paper is to introduce and investigate two families of analytical and bi-univalent functions, and , with respect to symmetric conjugate points that are defined in the open unit disk  and connected to a series of beta-negative binomial distributions.
Abbas Kareem Wanas, Faiz Chaseb Khudher
openaire   +3 more sources

A Certain Class of Analytic Functions Associated with Beta Negative Binomial Distribution Defined on Complex Hilbert Space

open access: goldJournal of Al-Qadisiyah for Computer Science and Mathematics, 2023
In this work , we show and research a new class of univalent and analytic functions with negative coefficients linked to the beta negative binomial distribution on a complicated Hilbert space. We find fascinating geometric features such as the convex set, coefficient estimates, distortion and growth theorems, starlikeness and convexity radii, and ...
Dhirgam Allawy Hussein   +1 more
openaire   +3 more sources

Applications of Beta Negative Binomial Distribution Series on Holomorphic Functions

open access: closedEarthline Journal of Mathematical Sciences, 2021
The purpose of this article is to derive the necessary and sufficient conditions for the power series 〖P℘〗_(ℷ,γ)^μ (t) whose coefficients are probabilities of the beta negative binomial distribution to be in the family F(σ,τ,ϵ,η,μ,ℷ,γ) of holomorphic functions which are defined in the open unit disk.
Najah Ali Jiben Al-Ziadi   +1 more
openaire   +4 more sources

Calculating Customer Lifetime Value and Churn Using Beta Geometric Negative Binomial and Gamma-Gamma Distribution in an Nft-Based Setting [PDF]

open access: green
Customer Lifetime Value (CLV) is an important metric that measures the total value a customer will bring to a business over their lifetime. The Beta Geometric Negative Binomial Distribution (BGNBD) and Gamma Gamma Distribution are two models that can be used to calculate CLV, taking into account both the frequency and value of customer transactions ...
Sambeeta Das
  +5 more sources

Bounds for the difference between median and mean of beta and negative binomial distributions

open access: closedMetrika, 1989
We obtain bounds for the difference between the median and mean of the beta and negative binomial distributions using elementary methods.
Young, J.H., Payton, M.E., Young, L.J.
openaire   +3 more sources

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