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- W2058356912 abstract "We introduce and motivate the study of ( n + 1) × r arrays X with Bernoulli entries X k , j and independently distributed rows. We study the distribution of which denotes the number of consecutive pairs of successes (or runs of length 2) when reading the array down the columns and across the rows. With the case r = 1 having been studied by several authors, and permitting some initial inferences for the general case r > 1, we examine various distributional properties and representations of S n for the case r = 2, and, using a more explicit analysis, the case of multinomial and identically distributed rows. Applications are also given in cases where the array X arises from a Pólya sampling scheme." @default.
- W2058356912 created "2016-06-24" @default.
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- W2058356912 date "2010-06-01" @default.
- W2058356912 modified "2023-09-24" @default.
- W2058356912 title "On the number of runs for Bernoulli arrays" @default.
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- W2058356912 doi "https://doi.org/10.1239/jap/1276784897" @default.
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