## Twenty Papers on Statistics and ProbabilityOn April 7-10, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This work presents the written versions of all but three of the invited talks presented at this Symposium. It contains 2 papers by invited speakers who aren't able to attend. |

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### Contents

I | 1 |

II | 13 |

III | 25 |

IV | 47 |

V | 59 |

VI | 67 |

VII | 89 |

VIII | 93 |

XII | 125 |

XIII | 155 |

XIV | 169 |

XV | 199 |

XVI | 209 |

XVII | 249 |

XVIII | 277 |

XIX | 289 |

### Common terms and phrases

1n fact 1n particular 1t is easy absolutely continuous AMS MOS arbitrary assume assumption B1BL1OGRAPHY bounded variation central limit theorem characteristic function coefficients completes the proof consider constant converges COROLLARY death processes defined denote distribution function English transl finite following theorem formula Gaussian processes Hence holds identically distributed inequality integral Kolmogorov Kolmogorov's inequality Lemma limit distribution limit theorem linear Markov chain Markov processes Markov property martingale Math mathematical expectation matrix measure minimax Moreover mutually independent nonnegative normal distribution o-algebra obtain Obviously positive number probabilistic probability density Probability Volume 12 problem process x(t proof of Theorem prove quadratic forms quasianalytic random process random variables real numbers respect right-hand side satisfy the conditions sequence of random solution space stable Statist stochastic differential equations stochastic process strategic process subject classifications 1970 sufficient condition Suppose theory Translator's note uniformly vector virtue zero