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20240329122006.0 |
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230209s2015 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d EBLCP
|d OCLCQ
|d OCLCO
|d OCLCQ
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|a 9781119011903
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|a 1119011906
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|a (OCoLC)1347028886
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|a 519.2
|q OCoLC
|2 23/eng/20230216
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|a UAMI
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|a Krishnan, Venkatarama.
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|a Probability and Random Processes
|h [electronic resource].
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2015.
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300 |
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|a 1 online resource (1340 p.).
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490 |
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|a New York Academy of Sciences Ser.
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|a Description based upon print version of record.
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|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
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|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
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|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
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|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
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|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)
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|a 12.5 MOMENTS OF A FUNCTION OF A RANDOM VARIABLE
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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655 |
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|a Electronic books.
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776 |
0 |
8 |
|i Print version:
|a Krishnan, Venkatarama
|t Probability and Random Processes
|d Newark : John Wiley & Sons, Incorporated,c2015
|z 9781118923139
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830 |
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0 |
|a New York Academy of Sciences Ser.
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856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104337
|z Texto completo
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938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7104337
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994 |
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|a 92
|b IZTAP
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