ISSN:0040-1706    

DOI:10.1080/00401706.1971.10488810

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

The mean square error of prediction is proposed as a criterion for selecting variables. This criterion utilizes the values of the predictor variables associated with the future observation and the magnitude of the estimated variance. Mean square error is believed to be more meaningful than the commonly used criterion, the residual sum of squares.

ISSN:0040-1706    

DOI:10.1080/00401706.1971.10488811

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1971.10488812

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

The linear cost model previously formalized by Hald [4], [5], [9] is reviewed. Techniques are described which permit easy determination of sampling plans based on that model. The degenerate, the beta, and the two point distributions are considered as prior distributions ofp, the process fraction defective. For calculations only standard tables and a desk calculator are required.

ISSN:0040-1706    

DOI:10.1080/00401706.1971.10488813

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

A useful model in the analysis of multiple time series is to assume that each series is composed of a fixed signal common to all series and a wide sense stationary normal noise process. If the noise series are uncorrelated with identical autocorrelation functions, we have in the time domain a collection of independent normal vectors with a common covariance matrix. The likelihood ratio statistic for detecting the signal is then a singular version of Hotelling'sT2.

ISSN:0040-1706    

DOI:10.1080/00401706.1971.10488814

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

Best linear invariant estimators of log reliable life are derived for a model in which failure times have a two-parameter Weibull distribution and removal of some surviving items from life test is allowed at the time of any failure. Weights for obtaining best linear invariant estimates under this model are given in tabular form for all censoring patterns for sample sizes 2 through 6.

ISSN:0040-1706    

DOI:10.1080/00401706.1971.10488815

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1971.10488816

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

Two test statistics are suggested for discriminating between the exponential model and the more general Weibull or gamma models, and these are compared to some previously used test statistics by Monte Carlo methods. The results of estimating reliability under an exponential assumption when the true model is Weibull is also investigated. These results as well as the tests mentioned above indicate that the exponential model is often not adequate when the more general models hold. In contrast to this result it was found that the Weibull model was quite robust relative to the generalized gamma distribution with regard to reliability estimation. Some general pivotal function properties are presented for the maximum likelihood estimator of reliability for the generalized gamma distribution and similar results also hold for the Weibull procedure under a generalized gamma assumption. These results made a Monte Carlo study of this problem feasible. Since the maximum likelihood estimators are apparently ill-behaved for smaller sample sizes and since the Weibull model is robust it appears little is gained by using the generalized gamma distribution for samples of size less than 200 to 400.

ISSN:0040-1706    

DOI:10.1080/00401706.1971.10488817

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

A blocked two-level factorial-experiment was designed to measure the radiolysis of water. Effects of controlled variables are biased by changes in radiation with time and by equipment changes between sets of fuel cycles; the effects to be estimated are therefore doubly confounded. Experimenting is subject to unplanned curtailments with respect to the first bias, and might be expanded with respect to the second. So that the more important parameters can be estimated free of biases ordinarily resulting from the indefinite size of the experiment, the rationale is given for arranging the blocks of the experiment in a “doubly telescoping” (orthogonally blocked) sequence.

ISSN:0040-1706    

DOI:10.1080/00401706.1971.10488818

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

Parameters for experimental designs are selected so that their estimates are directly the answers to the investigator's questions. Explicit consideration of the coefficients of the linear functions generating the estimates provides insight into the manner in which designs “work.” Illustrations are given for the usually encountered treatment comparison designs.

ISSN:0040-1706    

DOI:10.1080/00401706.1971.10488819

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor