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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...

    Janet W. Andersen, Els J. Goetghebeur in Lifetime Data: Models in Reliability and S… (1996)

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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...

    Joseph Glaz, James R. Kenyon in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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...

    N. Balakrishnan, P. S. Chan in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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...

    Professor Sam Hawala in Lifetime Data: Models in Reliability and S… (1996)

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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 ...

    T. Kamakura in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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 (...

    Richard E. Barlow, Peisung Tsai in Lifetime Data: Models in Reliability and S… (1996)

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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 ...

    Myles Hollander in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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...

    Alan C. Kimber in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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 ...

    Kenneth Carling, Tor Jacobson in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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...

    Paul H. Kvam in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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...

    Thomas M. Loughin, Kenneth J. Koehler in Lifetime Data: Models in Reliability and S… (1996)

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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, ...

    M. L. Moeschberger, John P. Klein in Lifetime Data: Models in Reliability and S… (1996)

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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...

    Albert W. Marshall in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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...

    Yuko Y. Palesch in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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...

    James M. Robins in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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...

    Peter D. Sasieni in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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...

    Karan P. Singh in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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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.

    David G. Kleinbaum in Survival Analysis (1996)

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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...

    Joanna H. Shih, Thomas A. Louis in Lifetime Data: Models in Reliability and S… (1996)

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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...

    Michael Tortorella in Lifetime Data: Models in Reliability and Survival Analysis (1996)

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