## Mathematical Methods of StatisticsIn this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. The result of Cramér's work is a masterly exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow. For anyone with a working knowledge of undergraduate mathematics the book is self contained. The first part is an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. The second part contains the general theory of random variables and probability distributions while the third is devoted to the theory of sampling, statistical estimation, and tests of significance. |

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### Contents

II | 3 |

III | 10 |

IV | 15 |

V | 19 |

VI | 33 |

VII | 48 |

VIII | 62 |

IX | 76 |

XXIII | 260 |

XXIV | 291 |

XXV | 301 |

XXVI | 310 |

XXVII | 317 |

XXVIII | 321 |

XXIX | 323 |

XXX | 332 |

X | 85 |

XI | 89 |

XII | 103 |

XIII | 122 |

XIV | 135 |

XV | 137 |

XVI | 151 |

XVII | 166 |

XVIII | 192 |

XIX | 208 |

XX | 233 |

XXI | 244 |

XXII | 255 |

XXXI | 341 |

XXXII | 363 |

XXXIII | 378 |

XXXIV | 416 |

XXXV | 452 |

XXXVI | 473 |

XXXVII | 497 |

XXXVIII | 507 |

XXXIX | 525 |

XL | 536 |

XLI | 548 |