摘要:

The statistic of interest in this article isW=R1/min1 ≤j≤kRjwhereRi,i= 1, …,k, denotekindependent sample ranges from a standard uniform distribution each based on a common sample sizen. Expressions are derived for the distribution function and moments ofW, and a table of percentage points is included for selected valrles ofkandn. The role of the statisticWin the construction of a subset selection procedure is indicated and operating characteristics of the proceduce are derived under a slippage configuration. A numerical example is provided.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489455

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

Among the various approximations for the noncentral-Fdistribution. the best known are the computationally simpler approximation due to Severo and Zelen [18] and Laubscher [9], which requires only the normal distribution, and a more accurate approximation due to Tiku [21], which requires theFdistribution. Thcsr approximations are systematically evaluated. Some variations of these approximations are considered and found to he of comparable accuracy. An Edgeworth-acries approximation, which requires only the normal distribution, is developed and sren to be superior in accuracy. A FORTRAN-subroutine for the Edgeworth-series approximation is given.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489456

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

The minimum variance unbiased estimator ofP(Y<X) has been given for the situation in whichXandYare independently exponentially distributed. Using the rccacnt results of Blight and Rao [2] the variance of the UMVU estimator is derived. The mean-square error of the maximum likelihood estimator is obtained and used for comparison with the variance of the UMVUE.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489457

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489458

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489460

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489462

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489463

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489464

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor