Contributions to Probability: A Collection of Papers Dedicated to Eugene Lukacs
J. Gani, V. K. Rohatgi
Academic Press, May 10, 2014 - Mathematics - 334 pages
Contributions to Probability: A Collection of Papers Dedicated to Eugene Lukacs is a collection of papers that reflect Professor Eugene Lukacs’ broad range of research interests. This text celebrates the 75th birthday of Eugene Lukacs, mathematician, teacher, and research worker in probability and mathematical statistics.
This book is organized into two parts encompassing 23 chapters. Part I consists of papers in probability theory, limit theorems, and stochastic processes. This part also deals with the continuation and arithmetic of distribution functions, the arc sine law, Fourier transform methods, and nondifferentiality of the Wiener sheet. Part II includes papers in information and statistical theories.
This book will prove useful to statisticians, mathematicians, and advance mathematics students.
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1981 by Academic Academic Press Aczél analytic arbitrary assume asymptotic bounded central limit theorem characteristic function condition consider constant continuous CONTRIBUTIONS TO PROBABILITY convolution Daróczy defined DEFINITION denote density distribution function divisible characteristic functions entropy equation estimate exists finite form reserved Fourier transform H-valued Hence Hilbert space holds homogeneous Markov chain implies indecomposable inequality infinitely divisible infinitely divisible characteristic infinitely divisible distribution information functions j|no Jesiak Lemma Lévy linear Lukacs Markov chain Math Mathematics nonnegative normal distribution o-convergence obtain paper parameters probability measure probability theory problem properties prove random functions random measure random variables random vector real numbers representation resp result right-hand side rights of reproduction Rossberg satisfying seminorms sequence solution spectral functions spherically symmetric p.d. stable laws stationary process Statist uniform convergence uniquely weak convergence weakly stationary process Wiener Wiener process zero