Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life

✍ Scribed by Henning Läuter (auth.), N. Balakrishnan, M. S. Nikulin, M. Mesbah, N. Limnios (eds.)

• Publisher: Birkhäuser Basel
• Year: 2004
• Tongue: English
• Leaves: 566
• Series: Statistics for Industry and Technology
• Edition: 1
• Category: Library

✦ Synopsis

Parametric and semiparametric models are tools with a wide range of applications to reliability, survival analysis, and quality of life. This self-contained volume examines these tools in survey articles written by experts currently working on the development and evaluation of models and methods. While a number of chapters deal with general theory, several explore more specific connections and recent results in "real-world" reliability theory, survival analysis, and related fields.

✦ Table of Contents

Front Matter....Pages i-xli
Front Matter....Pages 1-1
Estimation in Partly Parametric Additive Cox Models....Pages 3-12
Nonparametric Maximum Likelihood Estimation in the Proportional Hazards Model with Covariate Measurement Error....Pages 13-25
Diagnostics for Cox’s Proportional Hazards Model....Pages 27-38
Front Matter....Pages 39-39
Semiparametric Analysis of Degradation and Failure Time Data with Covariates....Pages 41-63
On a Degradation-Failure Model for Repairable Items....Pages 65-79
Comparison of Parametric and Semiparametric Estimates in a Degradation Model with Covariates and Traumatic Censoring....Pages 81-96
Front Matter....Pages 97-97
Accelerated Life Testing, Fuzzy Information and Generalized Probability....Pages 99-105
Asymptotic Theory in Rank Estimation for AFT Model Under Fixed Censorship....Pages 107-120
An Example of Optimal Design in Accelerated Experiments....Pages 121-131
Front Matter....Pages 133-133
Aspects of Multivariate Aging in Exchangeable Frailty Models....Pages 135-148
Semiparametric Models in the Studies of Aging and Longevity....Pages 149-164
Front Matter....Pages 165-165
Semiparametric Transformation Models for Arbitrarily Censored and Truncated Data....Pages 167-176
EM Algorithm for Type-II Right Censored Bivariate Normal Data....Pages 177-210
Statistical Estimation Based on Interval Censored Data....Pages 211-218
Front Matter....Pages 219-219
The Covariate Order Method for Nonparametric Exponential Regression and Some Applications in Other Lifetime Models....Pages 221-237
Effect of Ignoring Heterogeneity in Hazards Regression....Pages 239-250
Front Matter....Pages 251-251
An Introduction to Efficient Estimation for Semiparametric Time Series....Pages 253-269
Front Matter....Pages 251-251
Distance-based Multivariate Two Sample Tests....Pages 273-290
Empirical Likelihood in Nonparametric and Semiparametric Models....Pages 291-306
Goodness of Fit Tests of L 2 -Type....Pages 307-330
Front Matter....Pages 331-331
Asymptotic Properties of the CRT Estimators for Multicentre Studies....Pages 333-345
Front Matter....Pages 347-347
HRQoL and Concomitant Adjusted Mean Residual Life Analysis....Pages 349-362
Semiparametric Approach to the Multivariate Mixed Rasch Model....Pages 363-382
Front Matter....Pages 383-383
Breast Cancer Prognosis Using Survival Forests....Pages 385-398
Semiparametric Versus Parametric Regression Analysis Based on the Bounded Cumulative Hazard Model: An Application to Breast Cancer Recurrence....Pages 399-415
Front Matter....Pages 417-417
Estimation of Analytic Spectral Density of Gaussian Stationary Processes....Pages 419-443
Sub-optimal Estimation of an Unknown Function from Stationary Noisy Data....Pages 445-459
On Parameter Estimation by Contaminated Observations of Ergodic Diffusion Processes....Pages 461-472
On Parameter Estimation for a Position-Dependent Marking of a Doubly Stochastic Poisson Process....Pages 473-486
Discrete Time Semi-Markov Processes for Reliability and Survival Analysis — A Nonparametric Estimation Approach....Pages 487-502
Non-parametric Estimation on Lifetimes of Subjects Exposed to Radiation from a Semi-Markov Process....Pages 503-515
Front Matter....Pages 517-517
An Extension of Lévy’s Formula to Weighted Wiener Processes....Pages 519-531
Sur l’Inégalité de Concentration de Doeblin — Lé vy, Rogozin — Kesten....Pages 533-551
Back Matter....Pages 553-555

✦ Subjects

Statistical Theory and Methods; Applications of Mathematics; Probability Theory and Stochastic Processes; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences