## Probability theory |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

ALGEBRAS OF EVENTS 1 Fundamental relations | 9 |

Some further operations and relations | 13 |

Axiomatical development of the algebra of events | 16 |

Copyright | |

105 other sections not shown

### Common terms and phrases

absolutely continuous according algebra of events algebra of sets arbitrary assume assumption atoms binomial distribution Borel bution calculation called Cauchy distribution characteristic function conditional probability conditional probability space considered constant contains convergence defined denote the event discrete random variable disintegration distri distribution function F(x elementary events elements equal example Exercise exists expectation experiment finite number following theorem Formula fulfilled hence Hint holds implies independent random variables inequality integer interval Iog2 large numbers law of large lemma limit theorem matrix measure nonnegative normal distribution obtain occurs pairwise independent Poisson distribution positive number Postulate probability distribution probability space probability theory proved random vector real numbers relation relative frequency Rényi respect sequence standard deviation subsets Suppose system of events tends tion uniformly distributed valid variance zero