By Harald Bergström (auth.), Daniel Dugué, Eugene Lukacs, Vijay K. Rohatgi (eds.)

**Read Online or Download Analytical Methods in Probability Theory: Proceedings of the Conference Held at Oberwolfach, Germany, June 9–14, 1980 PDF**

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**Additional resources for Analytical Methods in Probability Theory: Proceedings of the Conference Held at Oberwolfach, Germany, June 9–14, 1980**

**Sample text**

Circumstance, fo~lowing f(t) an e n t i r e = i, + a2 t2 + A Renyi (see and also ... I Vincze [4]): a i ~ O, i = let 1,2,... for w h i c h antn (2) holds. J o f(t-----~ dt = i, Then The f(t) first J H Williamson (3) Their step was In a d d i t i o n , infinitely W K Hayman (4) . They direction proved _ 1 + O(I) logt' based they many t in t h i s [2]. f'(t) f(t) proof 5 e n = 0,1,2 on proved complex and that was made by (i) and (2) R R Hall imply t ÷ ~. a Tauberian theorem that f(t) either of G F r e u d ~ e t or zeros.

2 0 , (1969),187-209 [11] Shimizu, R. On a lack of m e m o r y p r o p e r t y of the e x p o n e n t i a l distribution, Annals of Inst. ,31(1979),309-313. E. 1. SUMMARY . ,Xn(P)) , n = 1,2,... d, sequence law of Xn, that is, to test hypothesis nuous non decreasing transforms tests of independence, A fundamental of the coordinates. invariant under conti- and basic results in §l. statistic which has proved itself to the information contained in a sample on its structure. We assume afterwords that the hypothesis of independence results about the weak functional dependence is true, and state in convergence of the normalized function toward a limiting Gaussian process.

SUMMARY . ,Xn(P)) , n = 1,2,... d, sequence law of Xn, that is, to test hypothesis nuous non decreasing transforms tests of independence, A fundamental of the coordinates. invariant under conti- and basic results in §l. statistic which has proved itself to the information contained in a sample on its structure. We assume afterwords that the hypothesis of independence results about the weak functional dependence is true, and state in convergence of the normalized function toward a limiting Gaussian process.