## Introduction to Mathematical Statistics |

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### Contents

Multivariate Distributions | 73 |

Some Special Distributions | 133 |

Unbiasedness Consistency and Limiting Distributions | 197 |

Copyright | |

12 other sections not shown

### Other editions - View all

Introduction to Mathematical Statistics Robert V. Hogg,Joseph W. McKean,Allen Thornton Craig No preview available - 2005 |

### Common terms and phrases

algorithm approximate assume Bayes binomial bootstrap chi-square distribution complete sufficient statistic compute conditional pdf confidence interval Consider continuous random variable continuous type converges correlation coefficient critical region defined degrees of freedom denote a random determine discussed distribution with mean distribution with parameters equal equation estimator of 9 Example Exercise expression Find Fx(x gamma distribution given Hence independent random variables inequality integral joint pdf likelihood function likelihood ratio test linear LS estimator matrix median MVUE normal distribution Note observations obtain order statistics p-value parameter 9 pdf f(x point estimate Poisson distribution power function proof quantiles random sample random vector reject respectively result S-PLUS sample mean sample space sequence Show significance level simple hypothesis standard normal statistic for 9 sufficient statistic Suppose test statistic Theorem unbiased estimator variance a2 zero elsewhere