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Probability and Random Processes

Detalles Bibliográficos
Autor principal: Krishnan, Venkatarama
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2015.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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020 |a 1119011906 
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082 0 4 |a 519.2  |q OCoLC  |2 23/eng/20230216 
049 |a UAMI 
100 1 |a Krishnan, Venkatarama. 
245 1 0 |a Probability and Random Processes  |h [electronic resource]. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2015. 
300 |a 1 online resource (1340 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |a Intro -- TITLE PAGE -- TABLE OF CONTENTS -- PREFACE FOR THE SECOND EDITION -- PREFACE FOR THE FIRST EDITION -- 1 SETS, FIELDS, AND EVENTS -- 1.1 SET DEFINITIONS -- 1.2 SET OPERATIONS -- 1.3 SET ALGEBRAS, FIELDS, AND EVENTS -- 2 PROBABILITY SPACE AND AXIOMS -- 2.1 PROBABILITY SPACE -- 2.2 CONDITIONAL PROBABILITY -- 2.3 INDEPENDENCE -- 2.4 TOTAL PROBABILITY AND BAYES' THEOREM -- 3 BASIC COMBINATORICS -- 3.1 BASIC COUNTING PRINCIPLES -- 3.2 PERMUTATIONS -- 3.3 COMBINATIONS -- 4 DISCRETE DISTRIBUTIONS -- 4.1 BERNOULLI TRIALS -- 4.2 BINOMIAL DISTRIBUTION -- 4.3 MULTINOMIAL DISTRIBUTION 
505 8 |a 4.4 GEOMETRIC DISTRIBUTION -- 4.5 NEGATIVE BINOMIAL DISTRIBUTION -- 4.6 HYPERGEOMETRIC DISTRIBUTION -- 4.7 POISSON DISTRIBUTION -- 4.8 NEWTON-PEPYS PROBLEM AND ITS EXTENSIONS -- 4.9 LOGARITHMIC DISTRIBUTION -- 4.10 SUMMARY OF DISCRETE DISTRIBUTIONS -- 5 RANDOM VARIABLES -- 5.1 DEFINITION OF RANDOM VARIABLES -- 5.2 DETERMINATION OF DISTRIBUTION AND DENSITY FUNCTIONS -- 5.3 PROPERTIES OF DISTRIBUTION AND DENSITY FUNCTIONS -- 5.4 DISTRIBUTION FUNCTIONS FROM DENSITY FUNCTIONS -- 6 CONTINUOUS RANDOM VARIABLES AND BASIC DISTRIBUTIONS -- 6.1 INTRODUCTION -- 6.2 UNIFORM DISTRIBUTION 
505 8 |a 6.3 EXPONENTIAL DISTRIBUTION -- 6.4 NORMAL OR GAUSSIAN DISTRIBUTION -- 7 OTHER CONTINUOUS DISTRIBUTIONS -- 7.1 INTRODUCTION -- 7.2 TRIANGULAR DISTRIBUTION -- 7.3 LAPLACE DISTRIBUTION -- 7.4 ERLANG DISTRIBUTION -- 7.5 GAMMA DISTRIBUTION -- 7.6 WEIBULL DISTRIBUTION -- 7.7 CHI-SQUARE DISTRIBUTION -- 7.8 CHI AND OTHER ALLIED DISTRIBUTIONS -- 7.9 STUDENT-t DENSITY -- 7.10 SNEDECOR F DISTRIBUTION -- 7.11 LOGNORMAL DISTRIBUTION -- 7.12 BETA DISTRIBUTION -- 7.13 CAUCHY DISTRIBUTION -- 7.14 PARETO DISTRIBUTION -- 7.15 GIBBS DISTRIBUTION -- 7.16 MIXED DISTRIBUTIONS 
505 8 |a 7.17 SUMMARY OF DISTRIBUTIONS OF CONTINUOUS RANDOM VARIABLES -- 8 CONDITIONAL DENSITIES AND DISTRIBUTIONS -- 8.1 CONDITIONAL DISTRIBUTION AND DENSITY FOR P{A} -- 8.2 CONDITIONAL DISTRIBUTION AND DENSITY FOR P{A} = 0 -- 8.3 TOTAL PROBABILITY AND BAYES' THEOREM FOR DENSITIES -- 9 JOINT DENSITIES AND DISTRIBUTIONS -- 9.1 JOINT DISCRETE DISTRIBUTION FUNCTIONS -- 9.2 JOINT CONTINUOUS DISTRIBUTION FUNCTIONS -- 9.3 BIVARIATE GAUSSIAN DISTRIBUTIONS -- 10 MOMENTS AND CONDITIONAL MOMENTS -- 10.1 EXPECTATIONS -- 10.2 VARIANCE -- 10.3 MEANS AND VARIANCES OF SOME DISTRIBUTIONS -- 10.4 HIGHER-ORDER MOMENTS 
505 8 |a 10.5 CORRELATION AND PARTIAL CORRELATION COEFFICIENTS -- 11 CHARACTERISTIC FUNCTIONS AND GENERATING FUNCTIONS -- 11.1 CHARACTERISTIC FUNCTIONS -- 11.2 EXAMPLES OF CHARACTERISTIC FUNCTIONS -- 11.3 GENERATING FUNCTIONS -- 11.4 EXAMPLES OF GENERATING FUNCTIONS -- 11.5 MOMENT GENERATING FUNCTIONS -- 11.6 CUMULANT GENERATING FUNCTIONS -- 11.7 TABLE OF MEANS AND VARIANCES -- 12 FUNCTIONS OF A SINGLE RANDOM VARIABLE -- 12.1 RANDOM VARIABLE g(X) -- 12.2 DISTRIBUTION OF Y = g(X) -- 12.3 DIRECT DETERMINATION OF DENSITY fY(y) from fX(x) -- 12.4 INVERSE PROBLEM: FINDING g(x) GIVEN fX(x) AND fY(y) 
500 |a 12.5 MOMENTS OF A FUNCTION OF A RANDOM VARIABLE 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
776 0 8 |i Print version:  |a Krishnan, Venkatarama  |t Probability and Random Processes  |d Newark : John Wiley & Sons, Incorporated,c2015  |z 9781118923139 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104337  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7104337 
994 |a 92  |b IZTAP