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Negative binomial multiplicity distribution from binomial cluster production
Zeitschrift für Physik C: Particles and Fields, 1990 Two step interpretation of negative binomial multiplicity distribution as a compound of binomial cluster production and negative binomial like cluster decay distribution is proposed. In this model we can expect the average multiplicity for the cluster production increases with increasing energy, different from a compound Poisson-Logarithmic ...
C. Iso, K. Mori
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Generalized distributions of order k associated with success runs in Bernoulli trials
International Journal of Mathematics and Mathematical Sciences, 2003 In a sequence of independent Bernoulli trials, by counting multidimensional lattice paths in order to compute the probability of a first-passage event, we derive and study a generalized negative binomial distribution of order k, type I, which extends to ...
Gregory A. Tripsiannis +2 more
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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.
Charalambides, Ch.A., Papageorgiou, H.
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On the Conflation of Negative Binomial and Logarithmic Distributions
AxiomsIn recent decades, the study of discrete distributions has received increasing attention in the field of statistics, mainly because discrete distributions can model a wide range of count data.
Anfal A. Alqefari +2 more
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Priors for Random Count Matrices Derived from a Family of Negative Binomial Processes
, 2015 We define a family of probability distributions for random count matrices with a potentially unbounded number of rows and columns. The three distributions we consider are derived from the gamma-Poisson, gamma-negative binomial, and beta-negative binomial
Padilla, Oscar Hernan Madrid +2 more
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Applying Negative Binomial Distribution in Diagnostic Classification Models for Analyzing Count Data. [PDF]
Appl Psychol Meas, 2023 Liu R, Heo I, Liu H, Shi D, Jiang Z.
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NEGATIVE BINOMIAL APPROXIMATION TO THE BETA BINOMIAL DISTRIBUTION [PDF]
International 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.
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Weighted negative binomial-Poisson Lindley with application to genetic data
Journal of Biostatistics and Epidemiology, 2018 Background & Aim: Mixed Poisson and mixed negative binomial distributions have been considered as alternatives for fitting count data with over-dispersion.
Hossein Zamani +2 more
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BMC Infectious Diseases, 2019 Background In current epidemiology of tuberculosis (TB), heterogeneity in infectiousness among TB patients is a challenge, which is not well studied. We aimed to quantify this heterogeneity and the presence of “super-spreading” events that can assist in ...
Yayehirad A. Melsew +6 more
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Generalized Negative Binomial Processes and the Representation of Cluster Structures [PDF]
, 2013 The paper introduces the concept of a cluster structure to define a joint distribution of the sample size and its exchangeable random partitions. The cluster structure allows the probability distribution of the random partitions of a subset of the sample
Zhou, Mingyuan
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