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Examples and Problems in Mathematical Statistics

Detalles Bibliográficos
Autor principal: Zacks, Shelemyahu
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2014.
Colección:New York Academy of Sciences Ser.
Acceso en línea:Texto completo

MARC

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082 0 4 |a 519.5  |q OCoLC  |2 23/eng/20231120 
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100 1 |a Zacks, Shelemyahu. 
245 1 0 |a Examples and Problems in Mathematical Statistics  |h [electronic resource]. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2014. 
300 |a 1 online resource (654 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 8 |a 1.6.4 Quantiles of Distributions -- 1.6.5 Transformations -- 1.7 JOINT DISTRIBUTIONS, CONDITIONAL DISTRIBUTIONS AND INDEPENDENCE -- 1.7.1 Joint Distributions -- 1.7.2 Conditional Expectations: General Definition -- 1.7.3 Independence -- 1.8 MOMENTS AND RELATED FUNCTIONALS -- 1.9 MODES OF CONVERGENCE -- 1.10 WEAK CONVERGENCE -- 1.11 LAWS OF LARGE NUMBERS -- 1.11.1 The Weak Law of Large Numbers (WLLN) -- 1.11.2 The Strong Law of Large Numbers (SLLN) -- 1.12 CENTRAL LIMIT THEOREM -- 1.13 MISCELLANEOUS RESULTS -- 1.13.1 Law of the Iterated Logarithm -- 1.13.2 Uniform Integrability 
505 8 |a 1.13.3 Inequalities -- 1.13.4 The Delta Method -- 1.13.5 The Symbols op and Op -- 1.13.6 The Empirical Distribution and Sample Quantiles -- PART II: EXAMPLES -- PART III: PROBLEMS -- PART IV: SOLUTIONS TO SELECTED PROBLEMS -- 2 Statistical Distributions -- PART I: THEORY -- 2.1 INTRODUCTORY REMARKS -- 2.2 FAMILIES OF DISCRETE DISTRIBUTIONS -- 2.2.1 Binomial Distributions -- 2.2.2 Hypergeometric Distributions -- 2.2.3 Poisson Distributions -- 2.2.4 Geometric, Pascal, and Negative Binomial Distributions -- 2.3 SOME FAMILIES OF CONTINUOUS DISTRIBUTIONS -- 2.3.1 Rectangular Distributions 
505 8 |a 2.3.2 Beta Distributions -- 2.3.3 Gamma Distributions -- 2.3.4 Weibull and Extreme Value Distributions -- 2.3.5 Normal Distributions -- 2.3.6 Normal Approximations -- 2.4 TRANSFORMATIONS -- 2.4.1 One-to-One Transformations of Several Variables -- 2.4.2 Distribution of Sums -- 2.4.3 Distribution of Ratios -- 2.5 VARIANCES AND COVARIANCES OF SAMPLE MOMENTS -- 2.6 DISCRETE MULTIVARIATE DISTRIBUTIONS -- 2.6.1 The Multinomial Distribution -- 2.6.2 Multivariate Negative Binomial -- 2.6.3 Multivariate Hypergeometric Distributions -- 2.7 MULTINORMAL DISTRIBUTIONS -- 2.7.1 Basic Theory 
505 8 |a 2.7.2 Distribution of Subvectors and Distributions of Linear Forms -- 2.7.3 Independence of Linear Forms -- 2.8 DISTRIBUTIONS OF SYMMETRIC QUADRATIC FORMS OF NORMAL VARIABLES -- 2.9 INDEPENDENCE OF LINEAR AND QUADRATIC FORMS OF NORMAL VARIABLES -- 2.10 THE ORDER STATISTICS -- 2.11 t-DISTRIBUTIONS -- 2.12 F-DISTRIBUTIONS -- 2.13 THE DISTRIBUTION OF THE SAMPLE CORRELATION -- 2.14 EXPONENTIAL TYPE FAMILIES -- 2.15 APPROXIMATING THE DISTRIBUTION OF THE SAMPLE MEAN: EDGEWORTH AND SADDLEPOINT APPROXIMATIONS -- 2.15.1 Edgeworth Expansion -- 2.15.2 Saddlepoint Approximation -- PART II: EXAMPLES 
500 |a PART III: PROBLEMS 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
758 |i has work:  |a Examples and problems in mathematical statistics (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFGGcYM93dQMrQ7bCXwqKm  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Zacks, Shelemyahu  |t Examples and Problems in Mathematical Statistics  |d Newark : John Wiley & Sons, Incorporated,c2014  |z 9781118605509 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7103860  |z Texto completo 
880 0 |6 505-00/(S  |a Intro -- Examples and Problems in Mathematical Statistics -- Contents -- Preface -- List of Random Variables -- List of Abbreviations -- 1 Basic Probability Theory -- PART I: THEORY -- 1.1 OPERATIONS ON SETS -- 1.2 ALGEBRA AND σ-FIELDS -- 1.3 PROBABILITY SPACES -- 1.4 CONDITIONAL PROBABILITIES AND INDEPENDENCE -- 1.5 RANDOM VARIABLES AND THEIR DISTRIBUTIONS -- 1.6 THE LEBESGUE AND STIELTJES INTEGRALS -- 1.6.1 General Definition of Expected Value: The Lebesgue Integral -- 1.6.2 The Stieltjes-Riemann Integral -- 1.6.3 Mixtures of Discrete and Absolutely Continuous Distributions 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7103860 
994 |a 92  |b IZTAP