Titlebook: Statistical Models and Methods for Biomedical and Technical Systems; Filia Vonta,Mikhail Nikulin,Catherine Huber-Carol Book 2008 Birkh?use

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Statistical Models and Methods for Biomedical and Technical Systems978-0-8176-4619-6Series ISSN 2364-6241 Series E-ISSN 2364-625X

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A Varying-Coefficient Hazards Regression Model for Multiple Cross-Effectnd a class of tests is constructed in order to impose varying coefficients for some specific covariates, or for some other purposes. Analysis of the survival of Taiwan’s stroke patients is reported to illustrate the applications.

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Goodness-of-Fit Tests for Pareto Distributionmethods to test the hypothesis that the underlying data come from a Pareto distribution. The tests presented for both the type I and type II Pareto distributions are based on the regression test of Brain and Shapiro (1983) for the exponential distribution. Power comparisons of the tests are carried out via simulations.

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Asymptotic Certainty Bands for Kernel Density Estimators Based upon a Bootstrap Resampling SchemeIn this chapter, we show that a single bootstrap suffices to construct sharp uniform asymptotic certainty (or asymptotically almost sure confidence) bands for nonparametric kernel-type density estimators.

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Estimation of Rescaled DistributionIn this chapter we propose a minimum distance estimator for rescaled density from a totally bounded class and prove that the rate of convergence depends only on Kolmogorov’s entropy of the class.

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Recent Achievements in Modified Chi-Squared Goodness-of-Fit TestingMilestones of the theory and applications of modified chi-squared tests are briefly discussed. Recent achievements in the theory and applications (in particular in reliability and survival analysis) are considered.

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