A generalised bivariate binomial distribution applicable in four-fold sampling

Mishra, A.

doi:10.1080/03610929608831795

Cited by 5 publications

(2 citation statements)

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“…Modeling dependence on goals scored by teams competing in international football matches was studied by McHale and Scarf [11], and evaluated risks and spot errors using scarce data were discussed by Ahooyi et al [12]. Several discrete bivariate models have been proposed in the literature (see, for example, Marshall and Olkin [13], Mishra [14], Özel [15][16][17], Reilly and Sapkota [18], Lee and Cha [19], and Jiang et al [20]).…”

Section: Introductionmentioning

confidence: 99%

The Novel Bivariate Distribution: Statistical Properties and Real Data Applications

Mohammed

Alghamdi

Aljohani

2021

Mathematical Problems in Engineering

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This article proposes a novel class of bivariate distributions that are completely defined by stating their conditionals as Poisson exponential distributions. Numerous statistical properties of this distribution are also examined here, including the conditional probability mass function (PMF) and moments of the new class. The techniques of maximum likelihood and pseudolikelihood are used to estimate the model parameters. Additionally, the effectiveness of the bivariate Poisson exponential conditional (BPEC) distribution is compared to that of the bivariate Poisson conditional (BPC), the bivariate Poisson (BP), the bivariate Poisson–Lindley (BPL), and the bivariate negative binomial (BNB) distributions using a real-world dataset. The findings of Akaike information criterion (AIC) and Bayesian information criterion (BIC) reveal that the BPEC distribution performs better than the other distributions considered in this study. As a result, the authors claim that this distribution may be used to fit dependent and overspread count data.

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Section: Introductionmentioning

confidence: 99%

The Novel Bivariate Distribution: Statistical Properties and Real Data Applications

Mohammed

Alghamdi

Aljohani

2021

Mathematical Problems in Engineering

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“…Systems often operate in cycles, and the experimenter observes the number of cycles successfully completed prior to failure. Until now, several discrete bivariate models have been proposed in the literature (see, for instance, Basu and Dhar, Campbell, Dhar, Holgate, Kocherlakota, Lee and Cha, Mishra, Nekoukhou et al ., Nikulin et al ., and Ong and Ng). An excellent survey of various discrete bivariate distributions can be found in Kocherlakota and Kocherlakota and Johnson et al .…”

Section: Introductionmentioning

confidence: 99%

Modeling Discrete Bivariate Data with Applications to Failure and Count Data

Lee

Hwan

Pulcini

2017

Quality & Reliability Eng

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In this study, we propose a new class of flexible bivariate distributions for discrete random variables. The proposed class of distribution is based on the notion of conditional failure rate for a discrete-type random variable. We derive general formulae for the joint distributions belonging to the proposed class that, unlike other discrete bivariate models already proposed in the literature such as the well-known and most popular Holgate's bivariate Poisson distribution, can model both positive and negative dependence. We discuss general statistical properties of the proposed class as well. Specific families of bivariate distributions can be generated from the general class proposed in this paper just by specifying the 'baseline distributions'. Furthermore, specific discrete bivariate distributions belonging to the proposed class are applied to analyze three real data sets, and the results are compared with those obtained from conventional models. in Wiley Online Library i case 1: when component B is at functioning state, the failure rate of component A is the same as the original λ 1 (k) and ii case 2: when component B is at failed state, the failure rate of component A is increased compared with case 1.

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A new general class of discrete bivariate distributions constructed by using the likelihood ratio

Lee¹,

Hwan

2017

Stat Papers

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A generalised bivariate binomial distribution applicable in four-fold sampling

Cited by 5 publications

References 1 publication

The Novel Bivariate Distribution: Statistical Properties and Real Data Applications

The Novel Bivariate Distribution: Statistical Properties and Real Data Applications

Modeling Discrete Bivariate Data with Applications to Failure and Count Data

A new general class of discrete bivariate distributions constructed by using the likelihood ratio

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