The data consists of multivariate failure times under right random censorship. By the kernel smoothing technique, convolutions of cumulative multivariate hazard functions suggest estimators of the so-called multivariate hazard functions. We establish strong i.i.d. representations and uniform bounds
Model checks under random censorship
β Scribed by A. Nikabadze; W. Stute
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 484 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
Let ,~-= {Fo} denote a parametric family of lifetime distributions on the real line. For a given sample of possibly censored data from an unknown distribution function F, we consider the Kaplan-Meier process with estimated parameters. It constitutes the basic tool for checking the hypothesis "F C ~-". Since for testing purposes this process is intractable in practice we propose to transform it to another one from which (asymptotically) distribution-free full model checks are readily available.
π SIMILAR VOLUMES
We use U-statistic-type processes to detect a possible change in the distribution of the observations under random censorship. We obtain weighted approximations for the U-statistic-type processes in case of symmetric as well as antisyrnmetric kernels. Several limit theorems are derived under the 'no
We propose and study a semiparametric estimator of the distribution function in the random censorship model which generalizes the Cheng and Lin estimator in the proportional hazards model. Uniform consistency and a functional central limit result for this estimator are established. Some efficiency c
This paper considers large sample inference for the regression parameter in a partly linear model for right censored data. We introduce an estimated empirical likelihood for the regression parameter and show that its limiting distribution is a mixture of central chi-squared distributions. A Monte Ca
Consider the linear models of the form Y=X { ;+= with the response Y censored randomly on the right and X measured erroneously. Without specifying any error models, in this paper, a semiparametric method is applied to the estimation of the parametric vector ; with the help of proper validation data.