On computing maximum likelihood estimates for the negative binomial distribution

DOI10.1016/j.spl.2019.01.009zbMath1411.62039OpenAlexW2909789026MaRDI QIDQ1726917

Ryan Gill, Udika Bandara, Riten Mitra

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2019.01.009

zbMATH Keywords

fixed pointmaximum likelihood estimationnegative binomial distributionNewton-Raphson algorithm

Mathematics Subject Classification ID

Point estimation (62F10) Exact distribution theory in statistics (62E15)

Uses Software

• Bioconductor
• edgeR
• DEseq

Cites Work

• Compound multinomial likelihood functions are unimodal: Proof of a conjecture of I. J. Good
• Estimation problems for the two-parameter negative binomial distribution
• Maximum likelihood estimate for the dispersion parameter of the negative binomial distribution
• Correction to “On the solution of a maximum-likelihood equation of the negative binomial distribution”
• On the solution of a maximum-likelihood equation of the negative binomial distribution
• SAMPLING THEORY OF THE NEGATIVE BINOMIAL AND LOGARITHMIC SERIES DISTRIBUTIONS

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