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pro vyhledávání: '"Ch. A. Charalambides"'
Publikováno v:
Journal of Statistical Theory and Practice. 17
Autor:
Ch. A. Charalambides
Publikováno v:
Lattice Path Combinatorics and Applications ISBN: 9783030111014
Consider a sequence of independent Bernoulli trials and assume that the probability (or odds) of success (or the probability (or odds) of failure) at a trial varies (increases or decreases) geometrically, with rate q, either with the number of trials
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https://explore.openaire.eu/search/publication?articleId=doi_________::744514976fcbc4b7c3f73179cc9b1efd
https://doi.org/10.1007/978-3-030-11102-1_9
https://doi.org/10.1007/978-3-030-11102-1_9
Autor:
Ch. A. Charalambides
Publikováno v:
Journal of Statistical Planning and Inference. 140:2355-2383
Consider a sequence of independent Bernoulli trials and assume that the odds of success (or failure) or the probability of success (or failure) at the ith trial varies (increases or decreases) geometrically with rate (proportion) q, for increasing i=
Autor:
Ch. A. Charalambides
Publikováno v:
Communications in Statistics - Theory and Methods. 38:2042-2055
The probability function and binomial moments of the number N n of (upper) records up to time (index) n in a q-factorially increasing population are obtained in terms of the non central signless q-Stirling numbers of the first kind. As a corollary, t
Autor:
Tomasz Rychlik, Ch. A. Charalambides
Publikováno v:
Journal of Statistical Planning and Inference. 138:2253-2266
A sequence of possibly dependent random variables is maximally dependent if all the sample maxima in the sequence have stochastically maximal distributions in the class of all distributions with the same marginals. For a sequence of maximally depende
Autor:
Ch. A. Charalambides
Publikováno v:
Communications in Statistics - Theory and Methods. 36:1305-1317
Consider a sequence of independent and identically distributed random variables with an absolutely continuous distribution function. The probability functions of the numbers Kn,r and Nn,r of r-records up to time n of the first and second type, respec
Autor:
Ch. A. Charalambides
Publikováno v:
Journal of Statistical Planning and Inference. 135:64-76
A wide class of q-distributions is defined on the stochastic model of a sequence of Bernoulli trials in which the conditional probability of success at the nth trial, given that k successes occur before that trial, varies geometrically with n and k.
Autor:
Ch. A. Charalambides
Publikováno v:
Discrete Mathematics. 275(1-3):67-85
The qs-differences of the non-central generalized q-factorials of t of order n, scale parameter s and non-centrality parameter r, at t = 0, are thoroughly examined. These numbers for s → 0 and s → ∞ converge to the non-central q-Stirling number
Autor:
Ch. A. Charalambides
Publikováno v:
Journal of Statistical Planning and Inference. 101:33-48
The number of ways of placing k non-taking rooks on a Ferrers board Bn is obtained as a finite difference of order n - k of a polynomial of order n. Then the number of permutations of the set 1,2,...,n with k elements in restricted positions, when th
Autor:
Ch. A. Charalambides
Publikováno v:
Wiley StatsRef: Statistics Reference
The Stirling numbers of the first and second kind enumerate the permutations of a finite set that are decomposed into a given number of cycles and the partitions of a finite set into a given number of subsets, respectively. Basic properties of these