LEADER 05549nam 2200733 a 450 001 9910965941503321 005 20250930150135.0 010 $a1-283-28002-7 010 $a9786613280022 010 $a1-118-16567-5 010 $a1-118-16568-3 035 $a(CKB)2550000000053026 035 $a(EBL)818930 035 $a(OCoLC)757511739 035 $a(SSID)ssj0000538057 035 $a(PQKBManifestationID)11364949 035 $a(PQKBTitleCode)TC0000538057 035 $a(PQKBWorkID)10557067 035 $a(PQKB)10567937 035 $a(MiAaPQ)EBC818930 035 $a(Au-PeEL)EBL818930 035 $a(CaPaEBR)ebr10500929 035 $a(CaONFJC)MIL328002 035 $a(MiAaPQ)EBC7147310 035 $a(Au-PeEL)EBL7147310 035 $a(EXLCZ)992550000000053026 100 $a20000224d2001 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 13$aAn introduction to probability and statistics 205 $a2nd ed. /$bVijay K. Rohatgi, A.K. Md. Ehsanes Saleh. 210 $aNew York $cWiley$dc2001 215 $a1 online resource (747 p.) 225 1 $aWiley series in probability and statistics. Texts and references section 300 $aOriginally published: Introduction to probability theory and mathematical statistics. New York : Wiley, c1976, in series: Wiley series in probability and mathematical statistics. 300 $a"A Wiley-Interscience publication." 311 08$a0-471-34846-5 320 $aIncludes bibliographical references (p. 663-667) and indexes. 327 $aAn Introduction to Probability and Statistics; Contents; Preface to the Second Edition; Preface to the First Edition; 1. Probability; 1.1 Introduction; 1.2 Sample Space; 1.3 Probability Axioms; 1.4 Combinatorics: Probability on Finite Sample Spaces; 1.5 Conditional Probability and Bayes Theorem; 1.6 Independence of Events; 2. Random Variables and Their Probability Distributions; 2.1 Introduction; 2.2 Random Variables; 2.3 Probability Distribution of a Random Variable; 2.4 Discrete and Continuous Random Variables; 2.5 Functions of a Random Variable; 3. Moments and Generating Functions 327 $a3.1 Introduction3.2 Moments of a Distribution Function; 3.3 Generating Functions; 3.4 Some Moment Inequalities; 4. Multiple Random Variables; 4.1 Introduction; 4.2 Multiple Random Variables; 4.3 Independent Random Variables; 4.4 Functions of Several Random Variables; 4.5 Covariance, Correlation, and Moments; 4.6 Conditional Expectation; 4.7 Order Statistics and Their Distributions; 5. Some Special Distributions; 5.1 Introduction; 5.2 Some Discrete Distributions; 5.3 Some Continuous Distributions; 5.4 Bivariate and Multivariate Normal Distributions; 5.5 Exponential Family of Distributions 327 $a6. Limit Theorems6.1 Introduction; 6.2 Modes of Convergence; 6.3 Weak Law of Large Numbers; 6.4 Strong Law of Large Numbers; 6.5 Limiting Moment Generating Functions; 6.6 Central Limit Theorem; 7. Sample Moments and Their Distributions; 7.1 Introduction; 7.2 Random Sampling; 7.3 Sample Characteristics and Their Distributions; 7.4 Chi-Square, t-, and F-Distributions: Exact Sampling Distributions; 7.5 Large-Sample Theory; 7.6 Distribution of (X, S2) in Sampling from a Normal Population; 7.7 Sampling from a Bivariate Normal Distribution,; 8. Parametric Point Estimation; 8.1 Introduction 327 $a8.2 Problem of Point Estimation8.3 Sufficiency, Completeness, and Ancillarity; 8.4 Unbiased Estimation; 8.5 Unbiased Estimation (Continued): Lower Bound for the Variance of an Estimator; 8.6 Substitution Principle (Method of Moments); 8.7 Maximum Likelihood Estimators; 8.8 Bayes and Minimax Estimation; 8.9 Principle of Equivariance; 9. Neyman-Pearson Theory of Testing of Hypotheses; 9.1 Introduction; 9.2 Some Fundamental Notions of Hypotheses Testing; 9.3 Neyman-Pearson Lemma; 9.4 Families with Monotone Likelihood Ratio; 9.5 Unbiased and Invariant Tests; 9.6 Locally Most Powerful Tests 327 $a10. Some Further Results of Hypothesis Testing10.1 Introduction; 10.2 Generalized Likelihood Ratio Tests; 10.3 Chi-Square Tests; 10.4 t-Tests; 10.5 F-Tests; 10.6 Bayes and Minimax Procedures; 11. Confidence Estimation; 11.1 Introduction; 11.2 Some Fundamental Notions of Confidence Estimation; 11.3 Methods of Finding Confidence Intervals; 11.4 Shortest-Length Confidence Intervals; 11.5 Unbiased and Equivariant Confidence Intervals; 12. General Linear Hypothesis; 12.1 Introduction; 12.2 General Linear Hypothesis; 12.3 Regression Model; 12.4 One-Way Analysis of Variance 327 $a12.5 Two-Way Analysis of Variance with One Observation per Cell 330 $aThe second edition of a well-received book that was published 24 years ago and continues to sell to this day, An Introduction to Probability and Statistics is now revised to incorporate new information as well as substantial updates of existing material. 410 0$aWiley series in probability and statistics.$pTexts and references section. 606 $aProbabilities 606 $aMathematical statistics 615 0$aProbabilities. 615 0$aMathematical statistics. 676 $a519.2 700 $aRohatgi$b V. K.$f1939-$058637 701 $aSaleh$b A. K. Md. Ehsanes$0150888 701 $aRohatgi$b V. K.$f1939-$058637 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910965941503321 996 $aIntroduction to probability and statistics$9474438 997 $aUNINA