## Notes on mathematical theory of probability and statistics |

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### Contents

Randomness | 3 |

The Collective or Population The Objective | 6 |

of Probability Calculus | 6 |

37 other sections not shown

### Common terms and phrases

abscissas arithmetical distribution arithmetical mean assume assumption asymptotic Bayes Bernoulli distribution Bernoulli problem called chance variables characteristic function coin collective combination Compute considered consists const constant cumulative distribution function defined definition denote derived determined dice drawing elements equal equation event example expectation expected value expression finite number formula Gauss given increasing integral interval introduce label set label space label values Large Numbers Law of Large limiting frequency mathematical mean value moments multiplication theorem normal distribution observed parameter place selection possible Prob proba probability calculus probability density probability distribution probability of obtaining probability q probability theory Prove quantities quotient random real numbers repartition respect result right hand side run of length seen Stieltjes integrals successive summation Tchebycheff's inequality theorem tion trials value and variance vanish x-values zero