On monotonicity of expected values of some run-related distributions

DOI10.1007/s10463-015-0525-xzbMath1400.62031OpenAlexW2267534211MaRDI QIDQ314579

Katuomi Hirano, Sigeo Aki

Publication date: 16 September 2016

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-015-0525-x

zbMATH Keywords

exchangeabilitymethod of momentsbeta distributionbinomial distribution of order \(k\)negative hypergeometric distribution of order \(k\)

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05)

Cites Work

• The Borel-Cantelli lemma
• Some binary start-up demonstration tests and associated inferential methods
• Distribution of run statistics in partially exchangeable processes
• On binomial and circular binomial distributions of order \(k\) for \(l\)-overlapping success runs of length \(k\)
• Estimation of parameters in the discrete distributions of order k
• On binomial distributions of order k
• Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials
• \(g\)-geometric and \(g\)-binomial distributions of order image
• Success runs in a sequence of exchangeable binary trials
• On some distributions arising from certain generalized sampling schemes
• Testing Statistical Hypotheses
• Univariate Discrete Distributions
• Probability
• Numbers of success-runs of specified length until certain stopping time rules and generalized binomial distributions of order \(k\)
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