On the soonest and latest waiting time distributions: succession quotas

Let be a sequence of independent and identically distributed random variables with let k i . be a given positive integer. We define the random variable N i to be the smallest integer so that a run in i's of length k i has occurred in the subsequence . Then N i 's are correlated variables....

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Veröffentlicht in:	Communications in statistics. Theory and methods 1993-01, Vol.22 (8), p.2207-2221
Hauptverfasser:	Ling, K.D., Low, T.Y.
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial probability correlated geometric distributions of different orders Exact sciences and technology Mathematics mean and variance minimum and maximum order statistics Probability and statistics probability generating function Probability theory and stochastic processes recurrence relation run of length k Sciences and techniques of general use
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