probability, random processes and ergodic properties - gray

... errors and slowly making long planned improvements. 2 PREFACE Contents Preface vii 1 Probability and Random Processes 5 1.1 Introduction 5 1.2 Probability Spaces and Random Variables 5 1.3 Random Processes ... referred to as a two-sided random process, and the set of all nonnegative integers Z + = {0, 1, 2, }, in which case the random process is said to be one-sided. One...

Ngày tải lên: 31/03/2014, 16:25

... 1, Y I 1) = Fxr(l, 1) = (1 - e-")(l - e-8) P(X 5 1) = Fx(l) = (1 - e-") P(Y > 1) = 1 - P(Y I 1) = 1 - Fd1) = e-@ PROBABILITY [CHAP 1 sample points ... of Theory and Problems of Probability, Random Variables, and Random Processes Hwei P. Hsu, Ph.D. Professor of Electrical Engineering Fairleigh Dickinson University S...

Ngày tải lên: 31/03/2014, 16:25

... 1, Y I 1) = Fxr(l, 1) = (1 - e-")(l - e-8) P(X 5 1) = Fx(l) = (1 - e-") P(Y > 1) = 1 - P(Y I 1) = 1 - Fd1) = e-@ PROBABILITY [CHAP 1 sample points ... of Theory and Problems of Probability, Random Variables, and Random Processes Hwei P. Hsu, Ph.D. Professor of Electrical Engineering Fairleigh Dickinson University S...

Ngày tải lên: 08/04/2014, 12:21

... (2.8), P(X = -Go)= P(Y = -co)=O Since (X= - a,Y~y)c(X=-a) and (XIX,YI-a)c(Y=-co) and by Eq. (1 .D), we have P(X = -a, Y I y) = Fxy(-m, y) = 0 P(X I X, Y = - m) = FxY(x, ... chance, and it has found applications in most branches of science and engineering. In this chapter the basic concepts of prob- ability theory are presented. 1.2 SAMPLE SPACE...

Ngày tải lên: 08/04/2014, 12:29

... 1, Y I 1) = Fxr(l, 1) = (1 - e-")(l - e-8) P(X 5 1) = Fx(l) = (1 - e-") P(Y > 1) = 1 - P(Y I 1) = 1 - Fd1) = e-@ PROBABILITY [CHAP 1 sample points ... of Theory and Problems of Probability, Random Variables, and Random Processes Hwei P. Hsu, Ph.D. Professor of Electrical Engineering Fairleigh Dickinson University S...

Ngày tải lên: 08/04/2014, 12:30

... x L 2 (Ω,µ) . Annals of Mathematics Combinatorics of random processes and sections of convex bodies By M. Rudelson and R. Vershynin* COMBINATORICS OF RANDOM PROCESSES 621 Since ux = S −1 ux X = ... which are independent {0, 1}-valued random variables with Eδ i = δ. Then the set J = {i ∈ I : δ i =1} is a random subset of I and its average cardinality is s =...

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Ngày tải lên: 31/03/2014, 16:25

... Nostrand Company, New York, 1963. [2] Papoulis, A., Probability, Random Variables, and Stochastic Processes, 3rd ed., McGraw-Hill, New York, 1991. [3] Leon-Garcia, A., Probability and Random Processes ... Signals • Finite-Energy Second-Order Stochastic Processes • Second-Order Com- plex Stochastic Processes • Complex Representations of Finite-Energy Second-Order Stochastic...

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