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A compound of the generalized negative binomial distribution with the generalized beta distribution
Open 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
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On hypergeometric generalized negative binomial distribution [PDF]
International Journal of Mathematics and Mathematical Sciences, 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.
M. E. Ghitany +2 more
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On the Accuracy of the Generalized Gamma Approximation to Generalized Negative Binomial Random Sums
Mathematics, 2021 We investigate the proximity in terms of zeta-structured metrics of generalized negative binomial random sums to generalized gamma distribution with the corresponding parameters, extending thus the zeta-structured estimates of the rate of convergence in ...
Irina Shevtsova, Mikhail Tselishchev
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Mathematics, 2020 Mathematical models are proposed for statistical regularities of maximum daily precipitation within a wet period and total precipitation volume per wet period.
Victor Korolev, Andrey Gorshenin
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On bivariate generalized binomial and negative binomial distributions
Metrika, 1981 The present paper deals with two types of generalized general binomial (binomial or negative binomial) distributions: (i) a univariate general binomial generalized by a bivariate distribution and (ii) a bivariate general binomial generalized by two independent univariate distributions.
Ch A Charalambides, H Papageorgiou
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A generalization of the negative binomial distribution
Journal of Biostatistics and Epidemiology, 2017 Background & Aim: Consider a sequence of independent Bernoulli trials with p denoting the probability of success at each trial. With this definition, the probability that the nth success proceed by r failures follows the negative binomial distribution ...
Maryam Nazemipour, Mahmood Mahmoudi
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Canadian Journal of Statistics, 1974 AbstractIn this paper the distribution of Z = Σni=1Xi and the joint distribution of Y = min{X1,…,Xn} and Z are obtained in the cases in which X1,…,Xn is a random sample (i) from the left‐truncated generalized logarithmic series distribution in terms of the Stirling numbers of the first kind, (ii) from the left‐truncated generalized Poisson distribution
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Journal of New Theory, 2021 The Poisson regression model is widely used for count data. This model assumes equidispersion. In practice, equidispersion is seldom reflected in data. However, in real-life data, the variance usually exceeds the mean.
Burcu Durmuş, Öznur İşçi Güneri
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Zhongguo gonggong weisheng, 2022 ObjectiveTo compare differences among the results of utilizing Poisson distribution, quasi-Poisson distribution, and negative binomial distribution in the generalized additive model (GAM) analysis on the association of ambient air ozone (O3) with ...
Zheng-rong GU, Xin-yu WANG, Hui XU
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A New Neutrosophic Negative Binomial Distribution: Properties and Applications
Journal of Mathematics, 2021 Many problems in real life exist that are full of confusion, vagueness, and ambiguity. The quantification of such issues in a scientific way is the need of time.
Rehan Ahmad Khan Sherwani +4 more
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