Zobrazeno 1 - 10 of 33 pro vyhledávání: '"Aimé Fuchs"'
1
Expectation of the Ratio of the Sum of Squares to the Square of the Sum: Exact and Asymptotic Results
Autor: Józef L Teugels, Aimé Fuchs, Anatole Joffe
Publikováno v: Theory of Probability & Its Applications. 46:243-255
Let $X_i$, $i=1,\ldots,n$, be a sequence of positive independent identically distributed random variables. Define $$ R_n : = {\bf E} \frac{X_1^2 + X_2^2 + \cdots + X_n^2} {(X_1 + X_2 + \cdots + X_n)^2}. $$ Let $\varphi(s) = {\bf E} e^{-sX}$. We give
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b9d4d17aba22351f906cb3acaae74ff5
https://doi.org/10.1137/s0040585x97978919
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3
Tauberian Theorems, Chernoff Inequality, and the Tail Behavior of Finite Convolutions of Distribution Functions
Autor: M. Broniatowski, Aimé Fuchs
Publikováno v: Advances in Mathematics. 116(1):12-33
Let X be a real random variable with cumulative distribution function F on R. Assume that the moment generating function Φ(t) := ∫∞−∞etxdF(x) is finite in a right neighborhood of 0. As a first topic treated in this paper, we consider distrib
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac5c2617385eb42caf5f255dfa3edbaa
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4
Formule exacte de l'espérance du rapport de la somme des carrés par le carré de la somme
Autor: Anatole Joffe, Aimé Fuchs
Publikováno v: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 325:907-909
Let (Xn)(n ≥ 1) be a sequence of identically distributed independent nonnegative random variables satisfying P {X1 = 0} < 1. The asymptotic behaviour of the ratio Rn = E'[(X12 + … + Xn2)/(X1 + … + Xn)2] has been studied by McLeish and O'Brien.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ebabb6be39e1774ea30fd5da35892402
https://doi.org/10.1016/s0764-4442(97)80136-x
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