摘要:

Power transformation weighting has been found to be a powerful technique for accounting for heteroscedasticity in model fitting. In this paper the transformation weighting concept is used in developing sequential design criteria for precise parameter estimation in heteroscedastic situations. Criteria are proposed for precise estimation of the model and transformation parameters together and for precise estimation of the model parameters alone. Implementation of the criteria is illustrated with two examples from chemical kinetics.

ISSN:0040-1706    

DOI:10.1080/00401706.1977.10489518

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

Scheffé's mixture models are given and theD-optimality of various designs for these models is discussed. ApproximateD-optimal (measure) andDn-optimal (exact) designs are given for use with mixture models with inverse terms in three and four components.

ISSN:0040-1706    

DOI:10.1080/00401706.1977.10489519

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

This paper provides procedures for constructing a prediction interval to contain the difference between single future observations from each of two previously sampled normal populations, or, more generally, to contain the difference between two future sample means.

ISSN:0040-1706    

DOI:10.1080/00401706.1977.10489520

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

A class of density estimates using a superposition of kernels where the kernel parameter can depend on the nearest neighbor distances is studied by the use of simulated data. Their performance using several measures of error is superior to that of the usual Parzen estimators. A tentative solution is given to the problem of calibrating the kernel peakedness when faced with a finite sample set.

ISSN:0040-1706    

DOI:10.1080/00401706.1977.10489521

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

It is shown that the “usual” nonrandomized, conditional test for comparing proportions using independent binomial samples, is very conservative in the sense that the actual significance level attributable to an outcome is often one-fourth to one-half of the anticipated value. A nonrandomized unconditional test is proposed, and for sample sizes up to 15, tables are given in an appendix which specify one-sided critical regions of size less than or equal to the nominal values 0.05, and 0.01 (two-sided critical regions are also given). Numerical examples illustrating the use of the tables and a brief description of the algorithm used to generate the tables are included.

ISSN:0040-1706    

DOI:10.1080/00401706.1977.10489522

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

In this paper Semi-curtailed and Fully-curtailed three class attributes plans are introduced. The maximum likelihood estimators of the proportion of bad units and that of marginal units under these plans are obtained. The efficiency of these estimators in terms of saving in inspection is discussed. A graphical procedure to simplify the execution of these plans is provided.

ISSN:0040-1706    

DOI:10.1080/00401706.1977.10489523

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

Tables of factors are provided for constructing prediction intervals to contain at leastp=m–lfuture observations from a normal distribution; the simplified new procedure for obtaining these factors is described. The tables pertain to selected values of the given sample size,n. the future sample size,m, and the number of items,M–l. in a future sample to be included in the prediction interval. Factors are given forn= 2(1)15(5)30(10)5O,∞,m= 20,25,30(10)80, andl= 1(1)8. An example demonstrates the use of the tables.

ISSN:0040-1706    

DOI:10.1080/00401706.1977.10489524

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

To generate the gamma distributed random vector ? (of dimensionK) the scheme η = ξ(1)+Tξ(2)is considered where ξ(1)(of dimensionK) and ξ(2)(of dimensionN) consist of independently gamma distributed variables andTis a (K×N) incidence matrix. For certain “patterns” ofTthe implied restrictions on the parameter space of the desired multivariate gamma distribution are discussed; in particular the scheme does not allow negative covariances.

ISSN:0040-1706    

DOI:10.1080/00401706.1977.10489525

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

When linear regression is used for prediction purposes, the minimization of the sum of relative errors (MSRE) is proposed as an alternative criterion to the minimization of the sum of squared errors (MSSE) and the minimization of the sum of absolute errors (MSAE). The problem is formulated as a linear programming problem and a solution procedure is given. The problem of subset selection with the MSRE criterion is also considered and results illustrated with an example.

ISSN:0040-1706    

DOI:10.1080/00401706.1977.10489526

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

A review is given of the published work on the performance of Fisher's linear discriminant function when underlying assumptions are violated. Some new results are presented for the case of classification using both binary and continuous variables, and conditions for success or failure of the linear discriminant function are investigated.

ISSN:0040-1706    

DOI:10.1080/00401706.1977.10489527

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor