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Generalized Negative Binomial Distributions

Journal of Statistical Physics, 2000
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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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Quasiprobability distributions of negative binomial states

Physical Review A, 1992
We 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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ON THE UNIMODALITY OF THE GENERALIZED NEGATIVE BINOMIAL DISTRIBUTION

Statistica Neerlandica, 1986
Abstract.It is shown that the generalized negative binomial distribution which is useful in random walks, queueing theory and branching processes is unimodal. When nθ(1 –θ)β‐1 > 1, the mode is not at the pointx= 0 and for that case, the lower and the upper bounds of the mode are obtained.
Consul, P. C., Famoye, F.
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The Negative Binomial Distribution

1989
We 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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A new generalization of the negative binomial distribution

Computational Statistics & Data Analysis, 2004
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Ramesh C. Gupta, S. H. Ong 0002
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Characterization of the Negative Binomial and Gamma Distributions

Biometrical Journal, 1995
AbstractCharacterization of the negative binomial and gamma distributions by a conditional distribution and a linear regression, and the gamma distribution by the negative binomial distribution are given. An application to a random shock model is discussed.
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The Order Statistics of the Negative Binomial Distribution

Biometrika, 1970
SUMMARY The order statistics of independent random variables each having the same negative binomial distribution are discussed. Recurrence relations for probability generating functions and moments of the distributions of the order statistics are given. These have been used to provide tables of the expected values of the order statistics.
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Testing for homogeneity: The negative binomial distribution

Biometrika, 1980
SUMMARY A locally most powerful similar test is constructed for testing the homogeneity of r+ 1 negative binomial series against a general class of alternatives. Approximations to the distribution of the test statistic under the null hypothesis are given.
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