Introduction to Probability

Informationen zum Autor George G. Roussas earned a B.S. in Mathematics with honors from the University of Athens, Greece, and a Ph.D. in Statistics from the University of California, Berkeley. As of July 2014, he is a Distinguished Professor Emeritus of Statistics at the University of California, Davis. Roussas is the author of five books, the author or co-author of five special volumes, and the author or co-author of dozens of research articles published in leading journals and special volumes. He is a Fellow of the following professional societies: The American Statistical Association (ASA), the Institute of Mathematical Statistics (IMS), The Royal Statistical Society (RSS), the American Association for the Advancement of Science (AAAS), and an Elected Member of the International Statistical Institute (ISI); also, he is a Corresponding Member of the Academy of Athens. Roussas was an associate editor of four journals since their inception, and is now a member of the Editorial Board of the journal Statistical Inference for Stochastic Processes. Throughout his career, Roussas served as Dean, Vice President for Academic Affairs, and Chancellor at two universities; also, he served as an Associate Dean at UC-Davis, helping to transform that institution's statistical unit into one of national and international renown. Roussas has been honored with a Festschrift, and he has given featured interviews for the Statistical Science and the Statistical Periscope. He has contributed an obituary to the IMS Bulletin for Professor-Academician David Blackwell of UC-Berkeley, and has been the coordinating editor of an extensive article of contributions for Professor Blackwell, which was published in the Notices of the American Mathematical Society and the Celebratio Mathematica. Food which nanotechnology has impacted or to which nanotechnology is applied is referred to as nanofood. From treatment of the soil in which a crop plant is grown to the caring of a food, nanotechnology is a growing factor in the food supply. At this point, however, there is no definitive, effective global method for regulating the use of nanotechnology as it relates to the food suply. Legislation on nanotechnologies is still evolving, as is understanding what data is needed for effective, efficient and appropriate risk assessment associated with nanotechnology impacted foods. Due to the emerging nature of nanotechnology and its role in the food supply, case-by-case studies are the current norm, but the need for wide-scale testing and broad-based regulatory standards is urgent. This project is based on an EFFoST study designed to provide a comparative study of nanofood regulations in order to guide regulation development in this rapidly expanding market. Zusammenfassung Suitable for upper-level undergraduate students in statistics! mathematics! engineering! computer science! operations research! actuarial science! biological sciences! economics! physics! and some of the social sciences! this book demonstrates the applicability of probability to many human activities with examples and illustrations. ...

Autorentext
George G. Roussas earned a B.S. in Mathematics with honors from the University of Athens, Greece, and a Ph.D. in Statistics from the University of California, Berkeley. As of July 2014, he is a Distinguished Professor Emeritus of Statistics at the University of California, Davis. Roussas is the author of five books, the author or co-author of five special volumes, and the author or co-author of dozens of research articles published in leading journals and special volumes. He is a Fellow of the following professional societies: The American Statistical Association (ASA), the Institute of Mathematical Statistics (IMS), The Royal Statistical Society (RSS), the American Association for the Advancement of Science (AAAS), and an Elected Member of the International Statistical Institute (ISI); also, he is a Corresponding Member of the Academy of Athens. Roussas was an associate editor of four journals since their inception, and is now a member of the Editorial Board of the journal Statistical Inference for Stochastic Processes. Throughout his career, Roussas served as Dean, Vice President for Academic Affairs, and Chancellor at two universities; also, he served as an Associate Dean at UC-Davis, helping to transform that institution's statistical unit into one of national and international renown. Roussas has been honored with a Festschrift, and he has given featured interviews for the Statistical Science and the Statistical Periscope. He has contributed an obituary to the IMS Bulletin for Professor-Academician David Blackwell of UC-Berkeley, and has been the coordinating editor of an extensive article of contributions for Professor Blackwell, which was published in the Notices of the American Mathematical Society and the Celebratio Mathematica.

Klappentext

Food which nanotechnology has impacted or to which nanotechnology is applied is referred to as nanofood. From treatment of the soil in which a crop plant is grown to the caring of a food, nanotechnology is a growing factor in the food supply. At this point, however, there is no definitive, effective global method for regulating the use of nanotechnology as it relates to the food suply.

Legislation on nanotechnologies is still evolving, as is understanding what data is needed for effective, efficient and appropriate risk assessment associated with nanotechnology impacted foods. Due to the emerging nature of nanotechnology and its role in the food supply, case-by-case studies are the current norm, but the need for wide-scale testing and broad-based regulatory standards is urgent.

This project is based on an EFFoST study designed to provide a comparative study of nanofood regulations in order to guide regulation development in this rapidly expanding market.

Zusammenfassung
Suitable for upper-level undergraduate students in statistics, mathematics, engineering, computer science, operations research, actuarial science, biological sciences, economics, physics, and some of the social sciences, this book demonstrates the applicability of probability to many human activities with examples and illustrations.

Inhalt
Preface1. Some Motivating Examples2. Some Fundamental Concepts 3. The Concept of Probability and Basic Results4. Conditional Probability and Independence5. Numerical Characteristics of a Random Variable 6. Some Special Distributions7. Joint Probability Density Function of Two Random Variables and Related Quantities 8. Joint Moment Generating Function, Covariance and Correlation Coefficient of Two Random Variables 9. Some Generalizations to k Random Variables, and Three Multivariate Distributions 10. Independence of Random Variables and Some Applications 11. Transformation of Random Variables 12. Two Modes of Convergence, the Weak Law of Large Numbers, the Central Limit Theorem, and Further Results 13. An Overview of Statistical Inference AppendixSome Notation and Abbreviations Answers to the Even-Numbered ExercisesIndex