Number of tetanus toxoid injections before birth and associated factors among pregnant women in low and middle income countries: Negative binomial poisson regression. [PDF]
Hum Vaccin ImmunotherZegeye AF +12 more
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Predictors and number of antenatal care visits among reproductive age women in Sub-Saharan Africa further analysis of recent demographic and health survey from 2017-2023: Zero-inflated negative binomial regression. [PDF]
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On Negative Binomial Approximation
Theory of Probability and Its Applications, 2013This paper deals with negative binomial approximation to sums of independent ${\bf Z}_+$-valued random variables. Stein's method is employed to obtain the error bounds. Convolution of negative binomial and Poisson distribution is used as a three-parametric approximation.
P Vellaisamy +2 more
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A Simple Approximation to the Negative Binomial (and Regular Binomial)
Technometrics, 1972An approximation for negative binomial sums involving a minimum of arithmetic is presented. Because of the relationship between negative binomial sums and regular binomial sums the approximation can be used for the latter also and for any distribution related to the binomial (such as the beta and F). The accuracy obtained is surprisingly good.
William C Guenther
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Jeffreys Prior for Negative Binomial and Zero Inflated Negative Binomial Distributions
Sankhya A, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arnab Kumar Maity, Erina Paul
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A Generalized Negative Binomial Distribution
SIAM Journal on Applied Mathematics, 1971A generalized negative binomial (GNB) distribution with an additional parameter $\beta $ has been obtained by using Lagrange’s expansion. The parameter is such that both mean and variance tend to increase or decrease with an increase or decrease in its value but the variance increases or decreases faster than the mean.
Jain, G. C., Consul, P. C.
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On the generalization of negative binomial distribution
Statistics & Probability Letters, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shishebor, Z., Towhidi, M.
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The Hyper‐Negative Binomial Distribution
Biometrical Journal, 1987AbstractA generalized family of the negative binomial distribution is introduced in a paper by Srivastava, Yousry and Ahmed (1986). It is a solution of the difference equation equation image and is called the hyper‐negative binomial distribution. Certain properties including the moments of the distribution are presented.
Yousry, M. A., Srivastava, R. C.
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THE TRUNCATED NEGATIVE BINOMIAL DISTRIBUTION
Biometrika, 1955(1920), Fisher (1941), Haldane (1941), Anscoinbe (1950) and Bliss & Fisher (1953), and is extensively used for the description of data too heterogeneous to be fitted by a Poisson distribution. Observed samples, however, may be truncated, in the sense that the number of individuals falling into the zero class cannot be determined.
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Statistical Inference Involving Binomial and Negative Binomial Parameters
The Spanish journal of psychology, 2009Statistical inference about two binomial parameters implies that they are both estimated by binomial sampling. There are occasions in which one aims at testing the equality of two binomial parameters before and after the occurrence of the first success along a sequence of Bernoulli trials. In these cases, the binomial parameter before the first success
Miguel A, García-Pérez +1 more
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