On the computer generation of the Erlang and negative binomial distributions with shape parameter equal to two

DOI10.1016/J.MATCOM.2008.07.010zbMath1163.65008OpenAlexW2076108372MaRDI QIDQ1005206

J. Martínez

Publication date: 9 March 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.07.010

zbMATH Keywords

negative binomial distributionsLambert W-functionquantile functionsinverse transform method

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17) Numerical approximation and evaluation of special functions (33F05) Higher logarithm functions (33B30)

Related Items (2)

A note on the computer generation of the binomial exponential distribution and generalizations ⋮ Maxima of gamma random variables and other Weibull-like distributions and the Lambert \(W\) function

Uses Software

• Mathematica
• Matlab

Cites Work

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• On the Lambert \(w\) function
• Quantile probability and statistical data modeling
• Univariate Discrete Distributions

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