Technical Report Series of the Laboratory for Research in Statistics and Probability, Issues 1-10Laboratory, Carleton University, 1983 - Probabilities |
Contents
ON THE FAVOURITE POINTS OF A RANDOM WALK by P Erdös | 1 |
LOCAL TIME by E Csáki and P Révész | 12 |
MESURE DU VOISINAGE AND OCCUPATION DENSITY by M Csörgő | 28 |
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assume asymptotic bounded Brownian bridge Carleton University concentration process conditions of Theorem continuous on 0,1 Corollary Csörgő and Révész defined denote density function empirical distribution function empirical process estimator Ex² exists exponential function F Gaussian process Goldie Hence Horváth implies inequality integral inverse iterated logarithm Kiefer Komlós limsup loglog logn Lorenz curve Math O'Reilly weight function obtain partial sums positive constants probability space proof of Theorem Proschan proved quantile function quantile process queue random variables rate of convergence renewal process sample satisfied Section sequence Shorack sup sup support of F supremum surely test process Theorem 2.1 theory Tusnády uniform variance verw weak convergence Wellner Wiener process X₁ zero in probability