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Handbook of probability

Author: Ionuţ Florescu; Ciprian Tudor
Publisher: Hoboken, New Jersey : Wiley, 2014. ©2014
Series: Wiley handbooks in applied statistics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
THE COMPLETE COLLECTION NECESSARY FOR A CONCRETE UNDERSTANDING OF PROBABILITY Written in a clear, accessible, and comprehensive manner, the Handbook of Probability presents the fundamentals of probability with an emphasis on the balance of theory, application, and methodology. Utilizing basic examples throughout, the handbook expertly transitions between concepts and practice to allow readers an inclusive  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ionuţ Florescu; Ciprian Tudor
ISBN: 1118592964 9781118592960 1118593146 9781118593141 1118593103 9781118593103 111859309X 9781118593097
OCLC Number: 1109071233
Language Note: English.
Notes: Description based upon print version of record.
Description: 1 online resource (584 p.).
Contents: Cover; Wiley Handbooks in Applied Statistics; Title Page; Copyright; List of Figures; Preface; Introduction; Chapter One: Probability Space; 1.1 Introduction/Purpose of the Chapter; 1.2 Vignette/Historical Notes; 1.3 Notations and Definitions; 1.4 Theory and Applications; 1.5 Summary; Exercises; Chapter Two: Probability Measure; 2.1 Introduction/Purpose of the Chapter; 2.2 Vignette/Historical Notes; 2.3 Theory and Applications; 2.4 Lebesgue Measure on the Unit Interval (0,1]; Exercises; Chapter Three: Random Variables: Generalities; 3.1 Introduction/Purpose of the Chapter 3.2 Vignette/Historical Notes3.3 Theory and Applications; Exercises; Chapter Four: Random Variables: The Discrete Case; 4.1 Introduction/Purpose of the Chapter; 4.2 Vignette/Historical Notes; 4.3 Theory and Applications; 4.4 Examples of Discrete Random Variables; Exercises; Chapter Five: Random Variables: The Continuous Case; 5.1 Introduction/Purpose of the Chapter; 5.2 Vignette/Historical Notes; 5.3 Theory and Applications; 5.4 Examples; Exercises; Chapter Six: Generating Random Variables; 6.1 Introduction/Purpose of the Chapter; 6.2 Vignette/Historical Notes; 6.3 Theory and Applications 6.4 Generating Multivariate Distributions with Prescribed Covariance StructureExercises; Chapter Seven: Random Vectors in Rn; 7.1 Introduction/Purpose of the Chapter; 7.2 Vignette/Historical Notes; 7.3 Theory and Applications; Exercises; Chapter Eight: Characteristic Function; 8.1 Introduction/Purpose of the Chapter; 8.2 Vignette/Historical Notes; 8.3 Theory and Applications; 8.4 Calculation of the Characteristic Function for Commonly Encountered Distributions; Exercises; Chapter Nine: Moment-Generating Function; 9.1 Introduction/Purpose of the Chapter; 9.2 Vignette/Historical Notes 9.3 Theory and ApplicationsExercises; Chapter Ten: Gaussian Random Vectors; 10.1 Introduction/Purpose of the Chapter; 10.2 Vignette/Historical Notes; 10.3 Theory and Applications; Exercises; Chapter Eleven: Convergence Types. Almost Sure Convergence. Lp-Convergence. Convergence in Probability; 11.1 Introduction/Purpose of the Chapter; 11.2 Vignette/Historical Notes; 11.3 Theory and Applications: Types of Convergence; 11.4 Relationships Between Types of Convergence; Exercises; Chapter Twelve: Limit Theorems; 12.1 Introduction/Purpose of the Chapter; 12.2 Vignette/Historical Notes 12.3 Theory and Applications12.4 Central Limit Theorem; Exercises; Chapter Thirteen: Appendix A: Integration Theory. General Expectations; 13.1 Integral of Measurable Functions; 13.2 General Expectations and Moments of a Random Variable; Chapter Fourteen: Appendix B: Inequalities Involving Random Variables and Their Expectations; 14.1 Functions of Random Variables. The Transport Formula; Bibliography; Index
Series Title: Wiley handbooks in applied statistics.
Other Titles: Wiley Handbooks in Applied Statistics Ser.
Wiley Handbooks in Applied Statistics, 1
Wiley handbooks in applied statistic
Wiley handbooks in applied statistics
Responsibility: Ionut Florescu, Ciprian Tudor.

Abstract:

THE COMPLETE COLLECTION NECESSARY FOR A CONCRETE UNDERSTANDING OF PROBABILITY Written in a clear, accessible, and comprehensive manner, the Handbook of Probability presents the fundamentals of probability with an emphasis on the balance of theory, application, and methodology. Utilizing basic examples throughout, the handbook expertly transitions between concepts and practice to allow readers an inclusive introduction to the field of probability. The book provides a useful format with self-contained chapters, allowing the reader easy and quick reference. Each.

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