## Foundations of the Theory of Probability |

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### Contents

ELEMENTARY THEory of PROBABILITY | 1 |

Independence | 8 |

Axiom of Continuity | 14 |

Copyright | |

8 other sections not shown

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### Common terms and phrases

additive set function arbitrary arithmetic means assume Axiom Baire function basic set belongs Borel cylinder sets Borel field Borel sets called Chap Chapter completely additive set Conditional Mathematical Expectations conditional probability converges in probability corresponding definition denote distribution function elementary events elements equal events A1 example exists field of probability finite number following theorem formula Fºue Fréchet function F independent random variables inequality integral KOLMOGOROV Large Numbers Law of Large Lebesgue Lebesgue Integrals Markov chains Math meridian circle mutually independent n-dimensional necessary and sufficient NIKODYM non-negative obtain ºſ P(ae P(An P(u c pre-images proba probabilités probability density probability function P(A Proof properties prove random events random variable ac real number relation sequence single-valued function ſº space RM subsets sums system of sets theory of probability tion uniquely determined values Wahrscheinlichkeitsrechnung zero