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作者:PADGETT, WJ; WEI, LJ
摘要:The maximum likelihood estimator of a distribution function with increasing failure rate is derived based on a set of observations subject to arbitrary right censorship. This estimator is defined everywhere on the positive real line while the Kaplan-Meier estimator may not be. The small sample properties of this estimator are indicated by results of a Monte Carol study for the Weibull distribution. [Applicability to life-testing and survival studies is discussed].
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作者:VUCHKOV, IN; SOLAKOV, EB
摘要:The robustness to nonnormality of the F test for model adequacy depends essentially on the distribution of repeated trials over the support points of the design. The influence of the regression design matrix on robustness is more limited.
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作者:CLARKE, MRB
摘要:In situations such as allometry where a line is to be fitted to a bivariate sample but where an asymmetric choice of one or another variable as regressor cannot be made, the reduced major axis is often used. Existing tests of the slope of this line, particularly between samples, are not sufficiently accurate in view of the scarcity of the material to which such methods are often applied. Alternative test statistics are suggested and some of their properties derived from a computer implementati...
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作者:JOHANNES, JM; RASCHE, RH
摘要:Exact tabulated values for Durbin''s c+, c- and c statistics are extended, and modified forms of the statistics are presented to facilitate use of the statistics in large samples.
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作者:MILLER, RG; HALPERN, JW
摘要:Extensions of robust estimators for the location of a symmetric distribution are given for the quantal bioassay problem. Asymptotic properties of the estimators are derived. A comparison in terms of asymptotic efficiencies under different tolerance distributions is made between the Spearman-Kaerber estimator and the trimmed mean and Tukey biweight estimators.
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作者:ISOGAWA, Y; OKAMOTO, M
摘要:For the problem of linear prediction in the factor analysis model, the h heuristic predictor suggested by Scott (1966) and the unbiased predictor proposed by King (1969) are mathematically identical, respectively, with the optimal biased predictor and the optimal unbiased predictor due to Lawley and Maxwell (1973).
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作者:STIGLER, SM
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作者:DUPAC, V
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作者:FUJIKOSHI, Y
摘要:The distribution of latent roots of the sample covariance matrix is studied when the parent population is nonnormal. Asymptotic expansions of the marginal and joint distributions of the sample roots and the distribution of a function of the sample roots are given by finding the Edgeworth expansions.
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作者:DAVIS, AW
摘要:A technique for the formal construction of statistical distributions in multivariate Edgeworth populations is applied to investigate the effects of moderate multivariate nonnormality on the test statistics used in connection with the general linear model, in particular, Wilks''s likelihood ratio criterion. The 1st-order approximation to the sampling distributions under nonnormality are shown to involve Mardia''s measures of multivariate skewness and kurtosis, together with a supplementary skew...