- 280 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Probability Algebras and Stochastic Spaces
About this book
Probability Algebras and Stochastic Spaces explores the fundamental notions of probability theory in the so-called "point-free way. The space of all elementary random variables defined over a probability algebra in a "point-free way is a base for the stochastic space of all random variables, which can be obtained from it by lattice-theoretic extension processes. This book is composed of eight chapters and begins with discussions of the definition, properties, scope, and extension of probability algebras. The succeeding chapters deal with the Cartesian product of probability algebras and the principles of stochastic spaces. These topics are followed by surveys of the expectation, moments, and spaces of random variables. The final chapters define generalized random variables and the Boolean homomorphisms of these variables. This book will be of great value to mathematicians and advance mathematics students.
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Yes, you can access Probability Algebras and Stochastic Spaces by Demetrios A. Kappos, Z. W. Birnbaum,E. Lukacs in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Front Cover
- Probability Algebras and Stochastic Spaces
- Copyright Page
- Table of Contents
- Preface
- Chapter I. Probability algebras
- Chapter II. Extension of probability algebras
- Chapter III. Cartesian product of probability algebras
- Chapter IV. Stochastic spaces
- Chapter V. Expectation of random variables
- Chapter VI. Moments. Spaces Lq
- Chapter VII. Generalized random variables (Random variables having values in any space)
- Chapter VIII. Complements
- Appendix I: Lattices
- Appendix II: Lattice groups, vector lattices
- Bibliographical Notes
- Bibliography
- List of Symbols
- Index