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作者:KENT, JT; OQUIGLEY, J
作者单位:Fred Hutchinson Cancer Center
摘要:In the linear regression model with normal errors the squared product-moment correlation provides the standard measure of dependence between the explanatory variable and the response variable. Using the concept of information gain, a measure of dependence can also be defined for more general regression models used in survival analysis, such as the Weibull regression model or Cox''s proportional hazards model. Further, this measure of dependence can be conveniently estimated even when the respo...
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作者:WOLAK, FA
摘要:This paper derives a duality result for a general class of hypothesis testing problems in multivariate analysis utilizing the relationship between convex cones and their polar cones together with the properties of minimum norm problems between points and cones in Euclidian space. Special cases of this result yield generalizations of a well-known duality relation in multivariate equality constraints testing. For example, any multivariate inequality constraints test on the parameters of a multiv...
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作者:BURKE, MD
摘要:Estimators are proposed of the underlying distribution function of independent bivariate random vectors which are subject to random right censorship in each coordinate. The estimators satisfy the monotonicity requirements of a distribution function, are uniformly strongly consistent at a rate equal to that of the empirical distribution function and are fairly simple to compute.
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作者:RENCHER, AC
摘要:Two major types of canonical functions are considered, canonical discriminant functions that separate groups of observation vectors, and canonical variates associated with canonical correlations. The coefficients in both types of canonical functions reflect the joint contributon of the variables to the canonical functions. If the coefficients are converted to correlations, however, they merely reproduce univariate statistic values and become useless in gauging the importance of each variable i...
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作者:MEESTER, SG; LOCKHART, RA
作者单位:University of Toronto; Simon Fraser University
摘要:Goodness-of-fit tests are provided for the assumption of homoscedastic normal errors in experimental designs where the number of fitted parameters is large. Asymptotic critical points are given for the Cramer-von Mises statistic, Watson''s statistic and the Anderson-Darling statistic. An expansion of the covariance function of the empirical process of standardized residuals is given. The corresponding weak convergence result is established for one-way layouts when the number of parameters grow...
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作者:HINKLEY, DV
摘要:Lawrance''s (1987) results concerning tests for transformation in regression are extended to models where response and mean may both be transformed. It is also suggested (i) that the methods of Lawrance and of Atkinson (1982) lead to statistics with near-perfect correlation, and (ii) that observed and expected informations may have considerably different effects as standardizations of the score statistic.
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作者:LI, WK
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作者:KOTT, PS
摘要:This paper discusses a model-based finite population correction term for estimating the model and design variances of the Horvitz-Thompson estimator under the usual model.
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作者:KIM, KM
摘要:Siegmund (1978) has developed a procedure for estimation following a closed sequential test, known as the repeated significance tests. Here a more elaborate approximation is proposed for a wider class of closed sequential tests. The major goal is to account for the excess over boundary in addition to the stopping time when the sequential test is terminated. Some hypothetical examples are used for comparing the two approximations. To investigate the properties of these procedures further, simul...
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作者:HALL, P; MARTIN, MA
摘要:We propose a single unifying approach to bootstrap resampling, applicable to a very wide range of statistical problems. It enables attention to be focused sharply on one or more characteristics which are of major importance in any particular problem, such as coverage error or length for confidence intervals, or bias for point estimation. Our approach leads easily and directly to a very general form of bootstrap iteration, unifying and generalizing present disparate accounts of this subject. It...