Increasing sequences of independent points on the planar lattice
نویسندگان
چکیده
منابع مشابه
On Runs in Independent Sequences
Given an i.i.d. sequence of n letters from a finite alphabet, we consider the length of the longest run of any letter. In the equiprobable case, results for this run turn out to be closely related to the well-known results for the longest run of a given letter. For coin-tossing, tail probabilities are compared for both kinds of runs via Poisson approximation.
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Given a sequence of letters generated independently from a finite alphabet, we consider the case when more than one, but not all, letters are generated with the highest probability. The length of the longest run of any of these letters is shown to be one greater than the length of the longest run in a particular state of an associated Markov chain. Using results of Foulser and Karlin (19...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 1997
ISSN: 1050-5164
DOI: 10.1214/aoap/1043862416