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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 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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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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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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The Non‐Central Negative Binomial Distribution
Biometrical Journal, 1979AbstractThe non‐central negative binomial distribution is derived by mixing the POISSONdistribution with a certain BESSELfunction distribution, or the negative binomial distribution with the POISSONdistribution. Some properties of the distribution are discussed, including a characterization.
Ong, S. H., Lee, P. A.
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Quasiprobability distributions of negative binomial states
Physical Review A, 1992We present the s-parametrized quasiprobability distributions for the negative binomial states. Marked changes in the quasiprobability distributions W(α,e,s) are exhibited by states that are close to the random-phase coherent state (e=0), as the parameter s is varied continuously from s=-1, corresponding to the Q function, to s=1, corresponding to the P
, D'Souza, , Mishra
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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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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
1989We begin with a new problem: a blood bank continues to purchase blood from individuals until it collects 6 pints of type B negative needed for an upcoming operation. How many pints should they be prepared to buy?
Hung T. Nguyen, Gerald S. Rogers
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