Identification of parameters of Poisson distributions by the extreme order statistics

DOI10.1080/03610918.2021.1928195OpenAlexW3160973725MaRDI QIDQ6073573

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Publication date: 18 September 2023

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2021.1928195

zbMATH Keywords

order statisticsconditional expectationPoisson distributionNewton's identitiesCarleman condition

Mathematics Subject Classification ID

Statistics of extreme values; tail inference (62G32) Characterization and structure theory of statistical distributions (62E10)

Cites Work

• Poisson distributions: identification of parameters from the distribution of the maximum and a conjecture on the partial sums of the power series for \(\exp(x)\)
• Identification of parameters by the distribution of the minimum: The tri-variate normal case with negative correlations
• The problem of identification of parameters by the distribution of the maximum random variable
• Identification of the Ordered Bivariate Normal Distribution by Minimum Variate
• The Moment Problem
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