Runs In Coin Tossing: A General Approach For Deriving Distributions For Functionals
JOURNAL OF APPLIED PROBABILITY(2015)
摘要
We take a fresh look at the classical problem of runs in a sequence of independent and identically distributed coin tosses and derive a general identity/recursion which can be used to compute (joint) distributions of functionals of run types. This generalizes and unifies already existing approaches. We give several examples, derive asymptotics, and pose some further questions.
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关键词
Regeneration, coin tossing, runs, longest run, Poisson approximation, Laplace transform, Rouches theorem
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