Lifetime Data: Models in Reliability and Survival Analysis

✍ Scribed by M. Ahsanullah, Mohamed Habibullah (auth.), Nicholas P. Jewell, Alan C. Kimber, Mei-Ling Ting Lee, G. A. Whitmore (eds.)

• Publisher: Springer US
• Year: 1996
• Tongue: English
• Leaves: 392
• Edition: 1
• Category: Library

✦ Synopsis

Statistical models and methods for lifetime and other time-to-event data are widely used in many fields, including medicine, the environmental sciences, actuarial science, engineering, economics, management, and the social sciences. For example, closely related statistical methods have been applied to the study of the incubation period of diseases such as AIDS, the remission time of cancers, life tables, the time-to-failure of engineering systems, employment duration, and the length of marriages.
This volume contains a selection of papers based on the 1994International Research Conference on Lifetime Data Models inReliability and Survival Analysis, held at Harvard University. The conference brought together a varied group of researchers and practitioners to advance and promote statistical science in the many fields that deal with lifetime and other time-to-event-data. The volume illustrates the depth and diversity of the field. A few of the authors have published their conference presentations in the new journal Lifetime Data Analysis (Kluwer Academic Publishers).

✦ Table of Contents

Front Matter....Pages i-xi
On the Entropies and the Mutual Information of Some Bivariate Continuous Distributions Used in Reliability....Pages 1-5
Initial Conditions Problem in Event History Analysis: An Indirect Inference Procedure....Pages 7-11
Analysis of Survival Data under Competing Risks with Missing Cause of Death Information: Application and Implications for Study Design....Pages 13-19
Conditional Proportional Hazards Models....Pages 21-28
A Comparison of Conditional and Unconditional Inference Relating to Log-Gamma Distribution....Pages 29-37
Universal Formulas for Treatment Effects from Noncompliance Data....Pages 39-43
Foundational Issues Concerning the Analysis of Censored Data....Pages 45-51
Burn-in at the Component and System Level....Pages 53-57
Identification of Dependent Competing Risks Models....Pages 59-63
Reliability Modelling for Optical Amplified Communication Systems....Pages 65-69
A Parametric Approach to Measurement Errors in Receiver Operating Characteristic Studies....Pages 71-75
A Modification of Goel-Okumoto Model....Pages 77-84
Models for Degradation Processes and Event Times Based on Gaussian Processes....Pages 85-91
A Non-Parametric Two-Sample Survival Test Based on a Single Occupancy Fermi-Dirac Model for the Discrete Range Distribution....Pages 93-97
Probability Approximations and Inequalities for Sequential Tests....Pages 99-106
Cure Mixture Models in Breast Cancer Survival Studies....Pages 107-112
A General Approach to Derive Chi-Square Type of Goodness-of-Fit Tests for Lifetime Data....Pages 113-123
Prediction in Survival Analysis: Model or Medic?....Pages 125-129
Dynamic Reliability Models....Pages 131-140
Generalizations of Current Status Data with Applications....Pages 141-148
Trend Analysis of Multiple Counting Processes....Pages 149-156
Historical Controls and Modern Survival Analysis....Pages 157-165
A Random Effects Model for Multivariate Life Data....Pages 167-174
Statistical Challenges in Comparing Chemotherapy and Bone Marrow Transplantation as a Treatment for Leukemia....Pages 175-185
Maximum Likelihood Estimation and the Multivariate Bernoulli Distribution : An Application to Reliability....Pages 187-194
Intermediate Clinical Events, Surrogate Markers and Survival....Pages 195-206
A Semiparametric Bootstrap for Proportional Hazards Models....Pages 207-211
Application of Cox Regression with a Change Point in Clinical Studies....Pages 213-217
Burn-in with Age Replacement....Pages 219-226
Fitting Cox’s Proportional Hazards Model Using Grouped Survival Data....Pages 227-232
Statistical Methods for Dependent Competing Risks....Pages 233-242
Orthogonal Functions of Inverse Gaussian Distributions....Pages 243-250
Statistical Models for Quality of Life Measures....Pages 251-255
Nonparametric Estimation of Regression Parameters from Censored Data with Two Discrete Covariates....Pages 257-262
Locally Efficient Median Regression with Random Censoring and Surrogate Markers....Pages 263-274
Survival Models for Heterogeneity Using the Non-Central Chi-Squared Distribution with Zero Degrees of Freedom....Pages 275-279
Efficiently Weighted Estimating Equations with Application to Proportional Excess Hazards....Pages 281-289
Sequential Multi-Hypothesis Testing in Software Reliability....Pages 291-298
Assessing Gamma Frailty Models for Clustered Failure Time Data....Pages 299-305
The Shapes of a Probability Density Function and Its Hazard Function....Pages 307-314
Therapeutic Equivalence Using a Rich Family of Prior Distributions....Pages 315-322
Dependent Competing Risks with Time-Dependent Covariates....Pages 323-330
Life Estimation from Pooled Discrete Renewal Counts....Pages 331-338
Efficient and Ad Hoc Estimation in the Bivariate Censoring Model....Pages 339-346
Efficient Estimation in a Nonproportional Hazards Model....Pages 347-351
Modeling Frailty in Manufacturing Processes....Pages 353-361
Estimation of Wiener Diffusion Parameters Using Process Measurements Subject to Error....Pages 363-369
Adaptive Replacement Policies for a System of Parallel Machines....Pages 371-375
Discrete First Passage Time Distribution for Describing Inequality among Individuals....Pages 377-383
A Graphical Classification of Survival Distributions....Pages 385-392
Survival Analysis in S-Plus....Pages 393-394
A Note on Strong Uniform Consistency of Kernel Estimators of Hazard Functions under Random Censorship....Pages 395-399
Identifiability and Estimation of Marginal Survival Functions for Dependent Competing Risks Assuming the Copula is Known....Pages 401-408
Back Matter....Pages 409-409

✦ Subjects

Statistics, general; Public Health; Cancer Research; Epidemiology