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Leishmania infantum infection in Phlebotomus perniciosus and Phlebotomus perfiliewi (Diptera, Psychodidae) and their abundance in central Italy. [PDF]
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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.
S H Ong
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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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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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Characterizations and generalizations of the negative binomial distribution
Computational Statistics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Katiane S. Conceição +3 more
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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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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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