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A characterization of the negative binomial distribution
2013A characterization of the negative binomial distribution related to random sums is obtained which is motivated by the geometric distribution characterization given by \textit{Z. Khalil, B. Dimitrov} and \textit{J.P. Dion} [Commun. Stat., Stochastic Models 7, No. 2, 321-326 (1991; Zbl 0736.62006)].
Kolev, Nikolay, Minkova, Leda
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A new generalization of the negative binomial distribution
Computational Statistics & Data Analysis, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramesh C. Gupta, S. H. Ong 0002
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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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Characterization of the Negative Binomial and Gamma Distributions
Biometrical Journal, 1995AbstractCharacterization 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, 1970SUMMARY 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, 1980SUMMARY 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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Sequential Estimation of the Mean of a Negative Binomial Distribution
Biometrika, 1975Abstract : A sequential procedure is proposed to estimate the mean of a negative binomial distribution when the value of the exponent (k) is known. An approximation is obtained for the distribution of the estimate from which it may be shown that the precision amounts to having a predetermined coefficient of variation.
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