摘要:

AbstractStochastic models of failure modes of frequent occurrence in the engineering sciences are considered. The failure‐producing stress environment is modelled as a stationary stochastic process. Using theoretical properties of the sample paths of these processes, failure‐time distributions which belong to the Birnbaum‐Saunders family are obtained. Several examples of particular engineering relevance are tr

ISSN:0319-5724    

DOI:10.2307/3315148

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractIn most surveys, inference for domains poses a difficult problem because of data shortage. This paper presents a probability sampling theory approach to some common types of statistical analysis for domains of a surveyed population. Simple and multiple regression analysis, and analysis of ratios are considered. Two new methods are constructed and explored which can improve substantially over the common method based on sample‐weighted sums of squares and products. These new methods use auxiliary variables whose importance depends on the extent to which they succeed in explaining certain patterns in the regression residuals. The theoretical conclusions are supported by empirical results from Monte Carlo experiment

ISSN:0319-5724    

DOI:10.2307/3315149

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractThe approach to normality of an estimate is displayed graphically by the nonlinearity in the derivative of the log density, and this nonlinearity is related to the accuracy of the normal approximation for the tail area. Using techniques from small‐sample asymptotics, an alternate proof of the central limit theorem is given and same indices of tail behavior are examine

ISSN:0319-5724    

DOI:10.2307/3315150

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractLet Ť(1)and Ť(2)be location‐equivariant estimators of an unknown location parameter μ. It is shown that the test for H0: μ ≤ μ0versusHA: μ>μ0that rejectsH0if Ť(1)is large is uniformly more powerful than the one that rejectsH0if Ť(2)is large if and only if Ť(2)is “more dispersed” than Ť(1). A similar result is obtained for tests on scale using the star‐shaped ordering

ISSN:0319-5724    

DOI:10.2307/3315151

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractThis paper is concerned with the ranking‐after‐alignment procedure, the alignment being made on the mean, in randomized block designs. The asymptotic efficiencies, as the number of blocks goes to infinity, of a class of aligned‐rank tests, relative to the maximin most powerful test based on aligned observations, are established and studied. Some asymptotic efficiencies under doubleexponentiality are also obtained using Monte Carlo me

ISSN:0319-5724    

DOI:10.2307/3315152

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractThis paper deals with models and methods for count data derived from observations on pairing phenomena. Pairs formed from “similar” members are excluded. Various models are considered and analyzed. Particular emphasis is on developing methods for testing whether particular pairs are prone to occur more or less often than expected by cha

ISSN:0319-5724    

DOI:10.2307/3315153

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractAn identity for the chi‐squared distribution is used to derive an unbiased estimator of the variance of the familiar Graybill‐Deal (1959) estimator of the common mean of several normal populations with possibly different unknown variances. This result appears to be new. It is observed that the unbiased estimator is a convergent series whose suitable truncation allows unbiased estimation up to any desired degree of accur

ISSN:0319-5724    

DOI:10.2307/3315154

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractKhatri has given a characterization of the inverse‐Gaussian distribution by the independence of two statistics. His proof involves assumptions on the existence of certain moments. In this note, we offer a short proof using only the positivity of the random variable X

ISSN:0319-5724    

DOI:10.2307/3315155

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractThe asymptotic distribution of certain tests of fit to the exponential distribution is obtained. The tests are based on regression of the order statistics on their expectations under a standard exponential distribution. Asymptotic normality at the rate (logn)1/2is obtained for a family of statistics including the correlation coefficient.

ISSN:0319-5724    

DOI:10.2307/3315156

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY