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Estimating Multivariate Discrete Distributions Using Bernstein Copulas [PDF]

open access: yesEntropy, 2018
Measuring the dependence between random variables is one of the most fundamental problems in statistics, and therefore, determining the joint distribution of the relevant variables is crucial.
Victor Fossaluza   +2 more
doaj   +2 more sources

A new two-parameter family of discrete distributions [PDF]

open access: yesHeliyon
This paper introduces a new family of discrete distributions with two shape parameters, termed the Generalized Two-Parameter Discrete Distribution (GTPDD).
Allaeddine Haddari   +2 more
doaj   +2 more sources

A Flexible Semi-Poisson Distribution with Applications to Insurance Claims and Biological Data

open access: yesMathematics, 2023
In this paper, a discrete one-parameter distribution called the semi-Poisson distribution is introduced, which is based on a set of non-negative integers. It is seen that this distribution captures over-dispersion and zero-inflation scenarios well. A few
Fatimah E. Almuhayfith   +3 more
doaj   +1 more source

On Uniform and α-Monotone Discrete Distributions

open access: yesRevstat Statistical Journal, 2022
In this partly expository article, I am concerned with some simple yet fundamental aspects of discrete distributions that are either uniform or have α-monotone probability mass functions. In the univariate case, building on work of F.W.
M.C. Jones
doaj   +1 more source

On Surprise Indices Related to Univariate Discrete and Continuous Distributions: A Survey

open access: yesMathematics, 2023
The notion that the occurrence of an event is surprising has been discussed in the literature without adequate details. By definition, a surprise index is an index by which how surprising an event is may be determined. Since its inception, this index has
Indranil Ghosh, Tamara D. H. Cooper
doaj   +1 more source

Sufficient Conditions for Some Stochastic Orders of Discrete Random Variables with Applications in Reliability

open access: yesMathematics, 2022
In this paper we focus on providing sufficient conditions for some well-known stochastic orders in reliability but dealing with the discrete versions of them, filling a gap in the literature.
Félix Belzunce   +2 more
doaj   +1 more source

On the Discrete Weibull Marshall–Olkin Family of Distributions: Properties, Characterizations, and Applications

open access: yesAxioms, 2021
In this article, we introduce a new flexible discrete family of distributions, which accommodates wide collection of monotone failure rates. A sub-model of geometric distribution or a discrete generalization of the exponential model is proposed as a ...
Jiju Gillariose   +5 more
doaj   +1 more source

Taking Rational Numbers at Random

open access: yesAppliedMath, 2023
In this article, some prescriptions to define a distribution on the set Q0 of all rational numbers in [0,1] are outlined. We explored a few properties of these distributions and the possibility of making these rational numbers asymptotically equiprobable
Nicola Cufaro Petroni
doaj   +1 more source

New discrete heavy tailed distributions as models for insurance data.

open access: yesPLoS ONE, 2023
Although many data sets are discrete and heavy tailed (for example, number of claims and claim amounts if recorded as rounded values), not many discrete heavy tailed distributions are available in the literature.
Saralees Nadarajah, Jiahang Lyu
doaj   +1 more source

Discrete Exponentiated Generalized Family of Distributions

open access: yesComputational Journal of Mathematical and Statistical Sciences, 2023
In this paper, exponentiated-G family of distributions is constructed as a new family of discrete distribution, using the general approach of discretization of a continuous distribution. Some statistical properties including quantiles, mean residual life,
Abeer E. Abd EL-Hady   +2 more
doaj   +1 more source

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