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This is a textbook which will provide students with a straightforward introduction to the mathematical theory of probability. It is written with the aim of presenting the central results and techniques of the subject in a complete and self-contained account. As a result, the emphasis is on giving results in simple forms with clear proofs and to eschew more powerful forms of theorems which require technically involved proofs. Any graduate student who has a familiarity with real analysis will be able to use this text - measure theory is used only where necessary and undue abstraction is avoided. Throughout there are a wide variety of exercises to illustrate and to develop ideas in the text.
Copyright year: 1993
Publication date: 8/13/1993
Size: 6.50" wide x 9.75" long x 0.75" tall
|List of Figures|
|List of Tables|
|Prelude: Random Walks|
|Convergence of Sequences of Random Variables|
|Classical Limit Theorems|
|Prediction and Conditional Expectation|
|B. Named Objects|