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Chapter
Analysis of Survival Data under Competing Risks with Missing Cause of Death Information: Application and Implications for Study Design
Goetghebeur and Ryan have developed a method for multiple-covariate analyses of survival data subject to competing risks when the failure type is missing for some cases. This method is compared to standard tec...
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Chapter
Probability Approximations and Inequalities for Sequential Tests
In this article accurate inequalities for tail probabilities of stop** times of sequential tests will be discussed. These inequalities will be utilized to derive approximations for the overall significance l...
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Chapter
A Comparison of Conditional and Unconditional Inference Relating to Log-Gamma Distribution
The family of log-gamma distributions, with varying values of the shape parameter k, provides a wide range of distributions including the extreme value and normal. In this paper, we shall discuss some inferential...
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Chapter
A General Approach to Derive Chi-Square Type of Goodness-of-Fit Tests for Lifetime Data
Pearson’s original chi-square test for goodness-of-fit has been extended and generalized in various ways to test the composite hypothesis of a certain parametric family {F (x; θ): θ ∈ Θ}. We illustrate in this pa...
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Chapter
Trend Analysis of Multiple Counting Processes
We deal with the problem of the inference on the trend parameter that is common to multiple independent processes with different base-line intensities assuming nonhomogeneous Poisson processes. Two parametric ...
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Chapter
Foundational Issues Concerning the Analysis of Censored Data
The common approach to analyzing censored data utilizes “competing risk” models; a class of distributions is first chosen and then the sufficient statistics are identified! An “operational Bayesian” approach (...
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Chapter
Dynamic Reliability Models
This paper summarizes the results presented at the International Conference on Lifetime Data Models in Reliability and Survival Analysis held at Harvard University in June 1994. A detailed version will appear ...
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Chapter
A Random Effects Model for Multivariate Life Data
The Weibull distribution is a natural starting point in the modelling of failure times and material strength data. In recent years there has been a growing interest in the modelling of heterogeneity within thi...
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Chapter
Identification of Dependent Competing Risks Models
Three Proportional Hazard models for estimation of unemployment duration when attrition is present are considered. The virtue of these models is that they take account of dependence between failure times in a ...
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Chapter
Maximum Likelihood Estimation and the Multivariate Bernoulli Distribution : An Application to Reliability
We investigate systems designed using redundant component configurations. If external events exist in the working environment that cause two or more components in the system to fail within the same demand peri...
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Chapter
A Semiparametric Bootstrap for Proportional Hazards Models
We present a bootstrap resampling plan for the Cox partial likelihood estimator for proportional hazards models with nonrandom explanatory variables. Instead of resampling observed times, the proposed plan res...
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Chapter
Statistical Methods for Dependent Competing Risks
Many biological and medical studies have as a response of interest the time to occurrence of some event, X, such as the occurrence of cessation of smoking, conception, a particular symptom or disease, remission, ...
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Chapter
Burn-in with Age Replacement
Burn-in and age replacement, both of which are used to reduce frequency of in-service failures, are studied in conjunction with each other. When the criterion for judging burn-in survival is more stringent tha...
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Chapter
Statistical Models for Quality of Life Measures
Quality of life (QOL) measures are becoming an integral part of the analysis of clinical trials data to determine the efficacy of interventions. A brief overview of the QOL measures and their corresponding met...
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Chapter
Locally Efficient Median Regression with Random Censoring and Surrogate Markers
Robins and Rotnitzky (1992) proved a general representation theorem for (1) the efficient score and (2) the set of influence functions for regular asymptotically linear (RAL) estimators in arbitrary semiparame...
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Chapter
Efficiently Weighted Estimating Equations with Application to Proportional Excess Hazards
A general approach to estimation, that can lead to efficient estimation in two stages, is presented. The method will not always be available, but sufficient conditions for efficiency are provided together with...
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Chapter
Therapeutic Equivalence Using a Rich Family of Prior Distributions
Therapeutic Equivalence in some contexts occurs when functions of parameters such as differences or ratios lie within some specified confidence region. A specific class of parametric discrepancy measures is ex...
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Chapter
Kaplan-Meier Survival Curves and the Log-Rank Test
We begin with a brief review of the purposes of survival analysis, basic notation and terminology, and the basic data layout for the computer.
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Chapter
Assessing Gamma Frailty Models for Clustered Failure Time Data
Proportional hazards frailty models use a random effect, so called frailty, to construct association for clustered failure time data. It is customary to assume that the random frailty follows a gamma distribut...
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Chapter
Life Estimation from Pooled Discrete Renewal Counts
We study a problem arising in the analysis of field reliability data generated by a repair process that replaces at a depot individual components on line-replaceable units that then are returned to service. Da...