## CRC Handbook of Tables for the Use of Order Statistics in EstimationThe CRC Handbook of Tables for the Use of Order Statistics in Estimation revises and significantly expands upon the well-known Order Statistics and Their Use in Testing and Estimation (Volume 2), published in 1970. It brings together tables relating to order statistics from many important distributions and provides maximum likelihood estimations of their parameters based on complete as well as Type-II censored samples. This practical reference describes in detail the method of computation used to construct the tables and illustrates their usefulness with practical examples. The CRC Handbook of Tables for the Use of Order Statistics in Estimation is easy to use and provides information on order statistics estimation at your fingertips. |

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### Contents

QuasiBanges of Samples from a Normal Population | 5 |

Single Order Statistics From Populations Related to | 6 |

List of Tables | 7 |

The Range of Samples From a Rectangular Population | 25 |

Expected Values Variances and Covariances of Order Statistics | 31 |

One or Two Order Statistics From an Exponential Population | 86 |

Singly Censored Samples From Populations Related to | 105 |

Doubly Censored Samples From Various Populations | 149 |

Variances and covariances of normal order statistics | 357 |

Expected values of exponential order statistics | 363 |

Variances and covariances of exponential order statistics | 386 |

C5 Moments of Exponential Weibull and Gamma Populations | 461 |

Expected value of logGamma order statistics | 471 |

Variances and covariances of Cauchy order statistics | 481 |

Expected values of Pareto order statistics | 501 |

Expected values of Students t order statistics | 507 |

0 2 2 5 and 7 0 3 to 0 3 | 206 |

A2 Variances of quasiranges | 217 |

A4 Efficiency of point estimators of a hased on quasiranges | 225 |

A6 Percentage points of the rth quasirange Wr for samples of size | 235 |

A7 Coefficients of wr in exact lower confidence bounds for a with | 261 |

A8 Most effective efficient interval estimators for a hased on | 287 |

Bl Efficient point estimators for a hased on range | 311 |

Variances and covariances of Students t order statistics | 513 |

Variances and covariances of half logistic order statistics | 521 |

Variances and covariances of Type I generalized logistic order statistics | 527 |

Most efficient unbiased point estimators for r hased | 533 |

D3 Most efficient unbiased point estimators for two parameters hased | 547 |

### Common terms and phrases

Air Force Base Air Force Institute American Statistical Association Annals of Mathematical Balakrishnan central confidence interval Chapter computed covariances of order cumulative distribution function doubly censored samples estimators hased expected values exponential distribution five decimal places Gamma population Harter heen hest linear unbiased hound interval estimators known shape parameter Leon Linear Estimation linear unbiased estimators location and scale location parameter logistic distribution lower confidence bounds m-order-statistic estimator Mathematical Statistics maximum-likelihood estimators moments of order nearly hest linear normal order statistics normal population obtained one-order-statistic estimator OOOOO'O OOOZ'O Pareto distribution percent percentage points point estimator population with known probability density function sample sizes Sarhan scale parameter standard deviation subsection substitute central confidence substitute upper confidence tables of means true parameter value Unpublished M.S. Thesis upper confidence bound variances and covariances Weibull distribution Weibull population Wright-Patterson Air Force xipuaddy г г гг гт ог рив