Waiting time problems for a sequence of discrete random variables

✍ Scribed by Sigeo Aki

• Publisher: Springer Japan
• Year: 1992
• Tongue: English
• Weight: 618 KB
• Volume: 44
• Category: Article
• ISSN: 0020-3157
• DOI: 10.1007/bf00058646

✦ Synopsis

Ei denotes the event that a run of/of length ki occurs in the sequence X1, X2, .... For the sequence X1, X2,..., the generalized pgf's of the distributions of the waiting times until the r-th occurrence among the events {Ei}i~=0 are obtained. Though our situations are general, the results are very simple. For the special cases that X's are i.i.d, and {0, 1}-valued, the corresponding results are consistent with previously published results.