摘要:

Consider the case of a single test unit which must be tested at some level of test stress. Suppose that the test stress level is free to be determined, and that only the survival or nonsurvival of the unit is observed. It is assumed that the unit is designed to withstand a known and specified design stress level. A Bayesian model is developed for determining the required level of test stress which maximizes the expected probability of survival at the design stress level. Engineering experience from similar past tests on similar units is used to fit the model. A practical application illustrates the method. The sensitivity of the procedure to changes in the parameters used in fitting the model is also examined.

ISSN:0040-1706    

DOI:10.1080/00401706.1978.10489644

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

We deal with the situation covered by the univariate general linear model, that is, it is intended thatnobservations be generated in accordance with the usual model y =Xβ + ε however, it is feared thatkof the observations are spurious, that is, not generated in the manner intended, so that for an unknown set ofkdistinct integers, say (i1, …ik), a subset of the firstnintegers, we have, specifically, thatytj, =xtj′, β +aj, + ∊tj, where in generalxt′ denotes thet-th row ofX, and where (a1, …,ak), so called shift parameters, are such that – ∞ <aj, < ∞. In this paper, we discuss the posterior distribution of β, when indeed it is assumed a priori that any given set ofkobservations has uniform probability I/(nk) of being spurious. The properties of the posterior of β are discussed, and the results used in an example using data generated from a response surface design. Ad hoc procedures are discussed for gaining information onk, whenkis unknown. These ad hoc procedures are illustrated using a famous set of data from Darwin

ISSN:0040-1706    

DOI:10.1080/00401706.1978.10489645

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

We show that in computing a power spectrum by the segment averaging method we should obtain twice as many spectral elements as are usually recommended and apply quadratic modification. This reduces leakage and variance for no loss of resolution. Tapering windows and overlapping of segments are not required.

ISSN:0040-1706    

DOI:10.1080/00401706.1978.10489646

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

Attention is drawn to a bias occurring in the course of calibration. Since the usual assumption of normality leads to an estimate without expectation. here a class of distributions of the errors is introduced which does not cause such a deficiency. Even in this class. a correction of the regression line defined with the help of standards might be necessary before estimating the abscissa value belonging to an unknown object. The estimate introduced is compared lo the classical and inverse estimates. A mode of eliminating the error by experimental design is also discussed. The calibration procedure was simulated by computer.

ISSN:0040-1706    

DOI:10.1080/00401706.1978.10489647

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

A logarithmic transformation for inverse Gaussian variates which produces approximate normality for large values of the concentration parameter is presented.

ISSN:0040-1706    

DOI:10.1080/00401706.1978.10489648

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1978.10489649

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1978.10489650

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1978.10489652

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1978.10489655

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1978.10489656

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor