LEADER 04389nam 2200661Ia 450 001 996217426303316 005 20170821160640.0 010 $a9786613274021 010 $a1-283-27402-7 010 $a1-118-16596-9 010 $a1-118-16583-7 035 $a(CKB)1000000000013752 035 $a(EBL)818937 035 $a(OCoLC)757394297 035 $a(SSID)ssj0000540383 035 $a(PQKBManifestationID)11314750 035 $a(PQKBTitleCode)TC0000540383 035 $a(PQKBWorkID)10581864 035 $a(PQKB)10850129 035 $a(SSID)ssj0000644272 035 $a(PQKBManifestationID)12264796 035 $a(PQKBTitleCode)TC0000644272 035 $a(PQKBWorkID)10675598 035 $a(PQKB)11308154 035 $a(MiAaPQ)EBC818937 035 $a(EXLCZ)991000000000013752 100 $a20110625d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aProbability and statistics for computer science$b[electronic resource] /$fJames L. Johnson 210 $aHoboken, NJ $cWiley Interscience$dc2008 215 $a1 online resource (764 p.) 300 $aDescription based upon print version of record. 311 $a0-470-38342-9 311 $a0-471-32672-0 320 $aIncludes bibliographical references (p. 733-738) and index. 327 $aProbability and Statistics for Computer Science; Contents; Preface; 1 Combinatorics and Probability; 1.1 Combinatorics; 1.1.1 Sampling without replacement; 1.1.2 Sampling with replacement; 1.2 Summations; 1.3 Probability spaces and random variables; 1.4 Conditional probability; 1.5 Joint distributions; 1.6 Summary; 2 Discrete Distributions; 2.1 The Bernoulli and binomial distributions; 2.2 Power series; 2.3 Geometric and negative binomial forms; 2.4 The Poisson distribution; 2.5 The hypergeometric distribution; 2.6 Summary; 3 Simulation; 3.1 Random number generation 327 $a3.2 Inverse transforms and rejection filters3.3 Client-server systems; 3.4 Markov chains; 3.4.1 Irreducible aperiodic Markov chains; 3.4.2 Convergence properties; 4 Discrete Decision Theory; 4.1 Decision methods without samples; 4.2 Statistics and their properties; 4.3 Sufficient statistics; 4.4 Hypothesis testing; 4.4.1 Simple hypothesis versus simple alternative; 4.4.2 Composite hypotheses; 4.5 Summary; 5 Real Line-Probability; 5.1 One-dimensional real distributions; 5.2 Joint random variables; 5.3 Differentiable distributions; 5.4 Summary; 6 Continuous Distributions 327 $a6.1 The normal distribution6.1.1 The univariate and bivariate normal distributions; 6.1.2 The multivariate normal distribution; 6.2 Limit theorems; 6.2.1 Convergence concepts; 6.2.2 An inversion formula; 6.3 Gamma and beta distributions; 6.4 The ?2 and related distributions; 6.5 Computer simulations; 6.6 Summary; 7 Parameter Estimation; 7.1 Bias, consistency, and efficiency; 7.2 Normal inference; 7.3 Sums of squares; 7.4 Analysis of variance; 7.5 Linear regression; 7.6 Summary; A Analytical Tools; A.1 Sets and functions; A.2 Limits; A.3 Structure of the real numbers 327 $aA.4 Riemann-Stieltjes integralsA.5 Permutations and determinants; B Statistical Tables; Bibliography; Index 330 $aComprehensive and thorough development of both probability and statistics for serious computer scientists; goal-oriented: ""to present the mathematical analysis underlying probability results""Special emphases on simulation and discrete decision theoryMathematically-rich, but self-contained text, at a gentle paceReview of calculus and linear algebra in an appendixMathematical interludes (in each chapter) which examine mathematical techniques in the context of probabilistic or statistical importanceNumerous section exercises, summaries, historical notes, and Further Readings 606 $aComputer science$xMathematics 606 $aProbabilities 606 $aMathematical statistics$xData processing 608 $aElectronic books. 615 0$aComputer science$xMathematics. 615 0$aProbabilities. 615 0$aMathematical statistics$xData processing. 676 $a519.2024004 700 $aJohnson$b James L$g(James Lee),$f1942-$017082 801 0$bMiAaPQ 906 $aBOOK 912 $a996217426303316 996 $aProbability and statistics for computer science$91575859 997 $aUNISA LEADER 01158nam 2200349 n 450 001 996392648603316 005 20221108092132.0 035 $a(CKB)1000000000674914 035 $a(EEBO)2240922522 035 $a(UnM)99843538 035 $a(EXLCZ)991000000000674914 100 $a19910722d1638 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 10$aIohnsons essayes$b[electronic resource] $eexpressed in sundry exquisite fancies. The arguments whereof follow in the next page 210 $aLondon $cPrinted by M. P[arsons] for Robert Wilson, at Grayes-Inne Gate in Holborne$d1638 215 $a[144] p 300 $aPrinter's name from STC. 300 $aSignatures: A-F¹² . 300 $aThe first leaf is blank. 300 $aWith a final license leaf; the last leaf is blank. 300 $aReproduction of the original in the British Library. 330 $aeebo-0018 700 $aJohnson$b Robert$cfl. 1586-1626.$01002772 801 0$bCu-RivES 801 1$bCu-RivES 801 2$bCStRLIN 801 2$bWaOLN 906 $aBOOK 912 $a996392648603316 996 $aIohnsons essayes$92358698 997 $aUNISA