Separation of the maxima in samples of geometric random variables
نویسندگان
چکیده
منابع مشابه
Gaps in samples of geometric random variables
In this note we continue the study of gaps in samples of geometric random variables originated in Hitczenko and Knopfmacher [Gap-free compositions and gap-free samples of geometric random variables. Discrete Math. 294 (2005) 225–239] and continued in Louchard and Prodinger [The number of gaps in sequences of geometrically distributed random variables, Preprint available at 〈http://www.ulb.ac.be...
متن کاملGap-Free Samples of Geometric Random Variables
We study the probability that a sample of independent, identically distributed random variables with a geometric distribution is gap-free, that is, that the sizes of the variables in the sample form an interval. We indicate that this problem is closely related to the asymptotic probability that a random composition of an integer n is likewise gap-free.
متن کاملDescent variation of samples of geometric random variables
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متن کاملCompositions and samples of geometric random variables with constrained multiplicities
We investigate the probability that a random composition (ordered partition) of the positive integer n has no parts occurring exactly j times, where j belongs to a specified finite ‘forbidden set’ A of multiplicities. This probability is also studied in the related case of samples Γ = (Γ1,Γ2, . . . ,Γn) of independent, identically distributed random variables with a geometric distribution. Résu...
متن کاملSamples of geometric random variables with multiplicity constraints
We investigate the probability that a sample Γ = (Γ1,Γ2, . . . ,Γn) of independent, identically distributed random variables with a geometric distribution has no elements occurring exactly j times, where j belongs to a specified finite ‘forbidden set’ A of multiplicities. Specific choices of the set A enable one to determine the asymptotic probabilities that such a sample has no variable occuri...
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ژورنال
عنوان ژورنال: Applicable Analysis and Discrete Mathematics
سال: 2011
ISSN: 1452-8630,2406-100X
DOI: 10.2298/aadm110817019b