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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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On Stabilizing the Binomial and Negative Binomial Variances
Journal of the American Statistical Association, 1961Abstract Transformations for the stabilization of variance of the binomial and negative binomial distributions are considered. In each case a new transformation is suggested. These transformations are two-term inverse sine and inverse-hyperbolic sine transformations involving six adjustable constants, thus generalizing previous work of Anscombe [1] and
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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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Convolution of Binomial and Negative Binomial Variables
Communications in Statistics - Theory and Methods, 2015This paper considers a distribution formed by convolution of binomial and negative binomial variables. The distribution has the flexibility to adapt to the model under, equi, and over dispersion. Some properties of the proposed distribution are discussed, including characterization.
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Truncated Binomial and Negative Binomial Distributions
Journal of the American Statistical Association, 1955(1955). Truncated Binomial and Negative Binomial Distributions. Journal of the American Statistical Association: Vol. 50, No. 271, pp. 877-883.
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The Negative Binomial Distribution
The Statistician, 1985This note sketches a biological context for the negative binomial distribu- tion, gives some of the many equivalent mathematical notations that have been used for the negative binomial probabilities, and discusses the use of the computer program MLP (the Maximum Likelihood Program) for fitting negative binomial distributions to data.
G. J. S. Ross, D. A. Preece
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Fitting the Negative Binomial Distribution
Biometrics, 1986This note is a reaction to recent papers in this journal by Willson, Folks, and Young (1984) and Bowman (1984). For the biometrical analysis of certain kinds of observations, such as insect counts, accident counts, or cave entrance counts, when only nonnegative integers are observable, it is expedient to restrict attention to those random variables ...
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Compound Negative Binomial-Binomial Risk Model
2014 Sixth International Conference on Measuring Technology and Mechatronics Automation, 2014A class of compound negative binomial-binomial risk model is investigated in this work. Based on this model, the adjusting coefficients are discussed by using the martingale analysis method. Then, the expression of the final bankruptcy probability and the Lundberg inequality are derived of insurance company under the condition that the initial reserve ...
Lv Jing, Xie Shan, Liu Zhifeng
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Generalized Negative Binomial Distributions
Journal of Statistical Physics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A bayesian choice between poisson, binomial and negative binomial models
Test, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dauxois, Jean-Yves +2 more
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