Probability and mathematical statistics : an introduction / / Eugene Lukacs

• Record Nr.: UNINA9910786638803321
• Autore: Lukacs Eugene
• Pubbl/distr/stampa: New York ; ; London : , : Academic Press, , 1972; ©1972
• ISBN: 1-4832-6920-5
• Descrizione fisica: 1 online resource (255 p.)
• Disciplina: 519.2
• Soggetti: Probabilities; Mathematical statistics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters and index.
• Nota di contenuto: Front Cover; Probability and Mathematical Statistics: An Introduction; Copyright Page; Table of Contents; Preface; Introduction; References; PART I: PROBABILITY THEORY; Chapter 1. The Probability Space; 1.1 The Outcome Space; 1.2 Probabilities; 1.3 The Axioms; 1.4 Problems; References; Chapter 2. Elementary Properties of Probability Spaces; 2.1 Simple Consequences of the Axioms; 2.2 Conditional Probability and Independence; 2.3 Finite Probability Spaces; 2.4 Problems; Chapter 3. Random Variables and Their Probability Distributions; 3.1 Random Variables; 3.2 Distribution Functions; 3.3 Examples of Discrete Distributions3.4 Examples of Absolutely Continuous Distributions; 3.5 Multivariate Distributions; 3.6 Problems; References; Chapter 4. Typical Values; 4.1 The Mathematical Expectation of a Random Variable; 4.2 Expectations of Functions of Random Variables; 4.3 Properties of Expectations; 4.4 Moments; 4.5 Regression; 4.6 Problems; Reference; Chapter 5. Limit Theorems; 5.1 Laws of Large Numbers; 5.2 The Central Limit Theorem; 5.3 The Poisson Approximation to the Binomial; 5.4 Problems; References; Chapter 6. Some Important Distributions; 6.1 The Distribution of the Sum of Independent,Absolutely Continuous Random Variables6.2 Addition of Independent Normal Random Variables; 6.3 The Chi-Square Distribution; 6.3 The Chi-Square ; Distribution; 6.5 Problems; PART II: MATHEMATICAL STATISTICS; Chapter 7. Sampling; 7.1 Statistical Data; 7.2 Sample Characteristics; 7.3 Moments and Distributions of Sample Characteristics; 7.4 Problems; References; Chapter 8. Estimation; 8.1 Properties of Estimates; 8.2 Point Estimation; 8.3 Interval Estimation; 8.4 Problems; References; Chapter 9. Testing Hypotheses; 9.1 Statistical Hypotheses; 9.2 The Power of a Test9.3 The /-Test; 9.4 Nonparametric Methods; 9.5 Problems; References; Appendix A. Some Combinatorial Formulas; Appendix B.The Gamma Function; Appendix C. Proof of the Central Limit Theorem; Appendix D. Tables; Answers to Selected Problems; Index
• Sommario/riassunto: Probability and Mathematical Statistics