## Theory of probability: a critical introductory treatmentConcerning certainty and uncertainty; Prevision and probability; Conditional prevision and probability; The evaluation of probabilities; Distributions; A preliminary survey; Random processes with independent increments; An introduction to other types of stochastic process; Problems in higher dimensions; Inductive reasoning: statistical inference; Mathematical statistics. |

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### Contents

INTRODUCTION | 1 |

CONCERNING CERTAINTY | 24 |

PREVISION AND PROBABILITY | 69 |

Copyright | |

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### Common terms and phrases

absolutely continuous already arbitrary arithmetic mean assume barycentre bounded calculus of probability Chapter characteristic function concept concerning consider constituents convenient convergence convex hull corresponds countable additivity criterion defined definition denote density dependence distribution function equally probable evaluation of probability example expressed fact finite formulation frequency give given hypothesis individual infinite number infinitely divisible integral interpretation interval L. J. Savage less limit linear ambit linear combinations linearly linearly dependent logic of certainty logically independent mass mathematical meaning measure necessary notation notion number of successes objective observe obtain obvious particular partition point of view positive possible points possible values prevision probabilistic probability distribution problem properties question random quantities reason refer respect restrictive result sense simply space stochastic independence subjectivistic sufficient summands theorem theory things tion true uncertainty vectors words zero probability