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作者:Dette, H; Biedermann, S
作者单位:Ruhr University Bochum
摘要:For the Michaelis-Menten model, we determine designs that maximize the minimum of the D-efficiencies over a certain interval for the nonlinear parameter. The best two point designs can be found explicitly, and a characterization is given when these designs are optimal within the class of all designs. In most cases of practical interest, the determined designs are highly efficient and robust with respect to misspecification of the nonlinear parameter. The results are illustrated and applied in ...
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作者:Kolaczyk, ED
作者单位:Boston University
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作者:Layton, DF; Levine, RA
作者单位:University of Washington; University of Washington Seattle; California State University System; San Diego State University
摘要:How much does the far future matter? This question lies at the heart of many important environmental policy issues, such as global climate change, biodiversity loss, and the disposal of radioactive waste. Although philosophers, experts, and others offer their viewpoints on this deep question, the solution to many environmental problems lies in the willingness of the public to bear significant costs now to make the far future a better place. Short of national plebiscites, the only way to assess...
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作者:Tsodikov, AD; Ibrahim, JG; Yakovlev, AY
作者单位:University of California System; University of California Davis; University of Rochester; University of North Carolina; University of North Carolina Chapel Hill
摘要:This article considers the utility of the bounded cumulative hazard model in cure rate estimation, which is an appealing alternative to the widely used two-component mixture model. This approach has the following distinct advantages: (1) It allows for a natural way to extend the proportional hazards regression model, leading to a wide class of extended hazard regression models. (2) In some settings the model can be interpreted in terms of biologically meaningful parameters. (3) The model struc...
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作者:Hoeting, JA; Tweedie, RL; Olver, CS
作者单位:Colorado State University System; Colorado State University Fort Collins; Colorado State University System; Colorado State University Fort Collins; University of Minnesota System; University of Minnesota Twin Cities
摘要:We consider multistage development models that occur in the maturation of biological organisms, disease progressions, and industrial processes. The situations that we address are distinguished by the essentially destructive sampling required to assess the stage reached by each individual. We develop robust estimators of stage-dependent maturation rates and overall death rates using method of moments based on Laplace transforms, for which we develop variance estimates under different sampling s...
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作者:Loh, JM; Stein, ML; Quashnock, JM
作者单位:Columbia University; University of Chicago
摘要:Galaxies have long been known to form large clusters, and cosmologists are interested in characterizing this clustering as a way of studying the large-scale structure of the universe. This work is motivated by a data catalog consisting of information on lines of sight from Earth to distant quasi-stellar objects (QSO's) and the carbon iv absorbers that lie on them. The absorbers are believed to be gas clouds near galaxies too far away to be easily observed. Thus, the absorber catalog provides a...
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作者:Shaked, M; Suarez-Llorens, A
作者单位:University of Arizona; Universidad de Cadiz
摘要:In this article we study the comparison of experiments in system reliability theory when the component lifetimes are independent and identically distributed random variables that have a common two-parameter exponential distribution with a location parameter theta. For this purpose, we define a new stochastic order, which we call the convolution order, and study some basic properties of it. We then focus our attention on the family of distribution functions that are mixtures of distributions of...
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作者:Wang, JY; Fuller, WA
作者单位:Merck & Company; Merck & Company USA; Iowa State University
摘要:In the small area estimation literature, the sampling error variances are customarily assumed to be known or to depend on a finite number of parameters. We consider the empirical best linear unbiased predictor (EBLUP) obtained by using the individual directly estimated variance for each small area. An approximation for the mean squared error (MSE) of the EBLUP that recognizes the impact on the predictors of estimation of the variance components is derived. Simulation studies show that the theo...
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作者:Holmes, CC; Mallick, BK
作者单位:Imperial College London; Texas A&M University System; Texas A&M University College Station
摘要:A Bayesian method is presented for the nonparametric modeling of univariate and multivariate non-Gaussian response data. Data-adaptive multivariate regression splines are used where the number and location of the knot points are treated as random. The posterior model space is explored using a reversible-jump Markov chain Monte Carlo sampler. Computational difficulties are partly alleviated by introducing a random residual effect in the model that leaves many of the posterior conditional distri...
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作者:Hall, P; Müller, HG
作者单位:Australian National University; University of California System; University of California Davis
摘要:In some regression problems we observe a response Y-ti to level t of a treatment applied to an individual with level Xi of a given characteristic, where it has been established that response is monotone increasing in the level of the treatment. A related problem arises when estimating conditional distributions, where the raw data are typically independent and identically distributed pairs (X-i, Z(i)), and Y-ti denotes the proportion of Z(i)'s.that do not exceed t. We expect the regression mean...