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A NOTE ON EMBEDDING CERTAIN BERNOULLI SEQUENCES IN MARKED POISSON PROCESSES
-
- Holst, Lars (author)
- KTH,Matematisk statistik
- (creator_code:org_t)
- 2016-07-14
- 2008
- English.
- In: Journal of Applied Probability. - : Cambridge University Press (CUP). - 0021-9002 .- 1475-6072. ; 45:4, s. 1181-1185
- Journal article (peer-reviewed)
Abstract
Subject headings
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- A sequence of independent Bernoulli random variables with success probabilities a/(a + b + k - 1), k = 1, 2, 3, ... , is embedded in a marked Poisson process with intensity 1. Using this, conditional Poisson limits follow for counts of failure strings.
Keyword
- Bernoulli trial
- conditional limit theorem
- Poisson limit
- random
- permutation
- record
- sums of indicators
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- ref (subject category)
- art (subject category)
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