Non parametric confidence intervals for the extinction probability of a Galton–Watson branching process

DOI10.1080/03610926.2015.1014108zbMath1395.62102OpenAlexW2324975434MaRDI QIDQ2979592

Steven G. From

Publication date: 25 April 2017

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2015.1014108

zbMATH Keywords

bootstrapconfidence intervalsmaximum likelihood estimationextinction probabilityGalton-Watson branching processadjusted proportions

Mathematics Subject Classification ID

Nonparametric tolerance and confidence regions (62G15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Estimation of probability of extinction of a multitype branchihg process
• Approximation Theorems of Mathematical Statistics
• Estimation of extinction probability of a multitype markov branching process
• Confidence Intervals for Gini's Diversity Measure and Shannon's Entropy Using Adjusted Proportions
• Approximating the distribution of a renewal process using generalized poisson distributions
• The estimation of the probability of extinction and other parameters associated with branching processes

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