Article ID Journal Published Year Pages File Type
1155197 Statistics & Probability Letters 2008 9 Pages PDF
Abstract

Let {Xi}i≥1{Xi}i≥1 be a an infinite sequence of exchangeable multi-state trials with mm (m≥2m≥2) possible values. The exact distributions of runs, particularly the total number of runs, longest and shortest runs, in {Xi}i≥1{Xi}i≥1 are derived. Applications associated with multi-color Pólya urn sampling scheme and statistical process control are also provided.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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