## Statistical Estimates and Transformed Beta-variables |

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### Contents

CONTRIBUTIONS TO THE LARGE SAMPLE THEORY OF ESTIMATION | 13 |

Estimation of Several Unknown Parameters | 21 |

TRANSFORMED BETAVARIABLES MOMENTS AND PROBABILITY | 31 |

Copyright | |

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according alternative AP-transform apply approximation assume asymptotically B-corrected best linear estimates bounded calculation Chapter coefficients concerning consider constants continuous corresponding covariances defined definition denote depend derived determined discontinuity discussed distribution efficient equal equivalent error term example exist expressions Finally finite follows formula fr.f function Further given Hence holds important inequality interest interval introduced known leading term limit linear combination matrix mean mentioned method modification moments nearly best estimates nearly best linear normal normal distribution Note numerical observe obtained parameters possible practical present problem proof properties proved quantities random relations remainder term remark replaced respect sample satisfied seen sense similar simple single situation statement Suppose Table tends theorem theory tion TRB-variables true Type 2 distributions unbiased estimates unknown valid values variables variance zero