Papers by Stratis Kounias
Statistics & Probability Letters
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Siam Journal on Applied Mathematics, Jul 28, 2006
Consider the probability space (S, F, P) and the sequence of events A i∈ F, i= 1, 2,⋯, n; the pro... more Consider the probability space (S, F, P) and the sequence of events A i∈ F, i= 1, 2,⋯, n; the problem is to evaluate, under limited information, the probability of an event A defined through a finite number of set operations among A 1, A 2,⋯, A n. In this paper P (∪ ni= 1 A ...
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Http Dx Doi Org 10 1080 02331888308801711, Jun 27, 2007
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Communications in Statistics - Theory and Methods, 2016
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Sankhya Ser A
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We examine the circular case of a combinatorial problem with applications in different areas. The... more We examine the circular case of a combinatorial problem with applications in different areas. The linear case of the problem is known as the generalized birthday problem. Tables of its solution are provided and an application to reliability is given.
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Journal of Applied Probability, 1989
Lower and upper bounds of degree m for the probability of the union of n not necessarily exchange... more Lower and upper bounds of degree m for the probability of the union of n not necessarily exchangeable events are established. These bounds may be constructed to improve the Bonferroni and the Sobel–Uppuluri bounds. An application to equi-correlated multivariate normal distribution is given.
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My vitae is attached
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Colloquium Mathematicum
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Given n events A 1 ,⋯,A n in a probability space (Ω,ℱ,P), their probabilities P(A i ) and the joi... more Given n events A 1 ,⋯,A n in a probability space (Ω,ℱ,P), their probabilities P(A i ) and the joint probabilities P(A i A j ), we derive bounds for the probability of their union using Poisson approximation and the Chen-Stein method. These are compared with the corresponding Bonferroni bounds applied to the generalized birthday problem. The Poisson approximation bounds derived by the Chen-Stein method do better for the special case at W=0 than a total variation bound applied to the probability at 0 as given by R. Arratia et al. [Ann. Probab. 17, No. 1, 9-25 (1989; Zbl 0675.60017); Stat. Sci. 5, No. 4, 403-434 (1990; Zbl 0955.62542)].
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Journal of Statistical Planning and Inference, 1983
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Discrete Mathematics, 1978
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Utilitas Mathematica, 1989
... Farmakis [16] proved that <r(n) = n^/ñ when n = 4(2m + 1)J thus satisfying the equalit... more ... Farmakis [16] proved that <r(n) = n^/ñ when n = 4(2m + 1)J thus satisfying the equality of Best's inequality: <т(л) < п-Уп Infinite families of Hadamard matrices satisfying this bound have been found by Seberry [20] and Yamada [29], more have been found by Koukou vinos and ...
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Papers by Stratis Kounias