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For simple random walk on the integers, consider the chance that the walk has traveled distance k from its start gwen that its first return is at time 2n. We derive a limiting approximation accura...
EXCHANGEABLE PAIRS OF BERNOULLI RANDOM VARIABLES, KRAWTCHOUCK POLYNOMIALS, AND EHRENFEST URNS。
Abstract: This paper proposes a simple method to evaluate batsmen and bowlers in cricket. The idea in this paper refines "book cricket" and evaluates a batsman by answering the question: How many runs...
Many applications in the eld of statistics require Markov chain Monte Carlo methods. Determining appropriate starting values and run lengths can be both analytically and empirically challenging.
We revisit in a probabilistic framework the umbral approach of Bernoulli numbers,Euler numbers and Carlitz Hermite polynomials by Gessel [1]. This study allows to explicit equivalents of some famous u...

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