Derivation of the probability distribution functions for succession quota random variables

DOI10.1007/BF00050854zbMath0925.62036MaRDI QIDQ1359404

Andreas N. Philippou, Demetrios L. Antzoulakos

Publication date: 17 November 1999

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

zbMATH Keywords

binary sequence of order \(k\)probability distribution functionBernoulli trialslongest runprobability geneating functionsooner and later problemsuccession quota

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) General considerations in statistical decision theory (62C05)

Cites Work

• Sooner and later waiting time problems for Markovian Bernoulli trials
• On geometric distributions of order \((k_ 1,\dots ,k_ m)\)
• Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas
• Discrete distributions of order k on a binary sequence
• Waiting time problems for a sequence of discrete random variables
• On the soonest and latest waiting time distributions: succession quotas
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