Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life
暫譯: 參數與半參數模型在可靠性、生存分析及生活品質中的應用
Mikhail S. Nikulin, N. Balakrishnan, M. Mesbah, Nikolaos Limnios
- 出版商: Birkhauser Boston
- 出版日期: 2004-06-24
- 售價: $6,900
- 貴賓價: 9.5 折 $6,555
- 語言: 英文
- 頁數: 555
- 裝訂: Hardcover
- ISBN: 081763231X
- ISBN-13: 9780817632311
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Description
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.
Specific topics covered include:
* non-parametric estimation of lifetimes of subjects exposed to radiation
* statistical analysis of simultaneous degradation-mortality data with covariates of the aged
* estimation of maintenance efficiency in semiparametric imperfect repair models
* cancer prognosis using survival forests
* short-term health problems related to air pollution: analysis using semiparametric generalized additive models
* parametric models in accelerated life testing and fuzzy data
* semiparametric models in the studies of aging and longevity
This book will be of use as a reference text for general statisticians, theoreticians, graduate students, reliability engineers, health researchers, and biostatisticians working in applied probability and statistics.
Table of Contents
Part I: Cox Models and Analyses
Estimation in Partly Parametric Additive Cox Models / H. Läuter
Nonparametric Maximum Likelihood Estimation in the Proportional Hazards Model with Covariate Measurement Error / J-F. Dupuy
Diagnostics for Cox's Proportional Hazards Model / C. Caroni
Part II: Degradation Models and Analyses
Semiparametric Analysis of Degradation and Failure Time Data with Covariates / V. Bagdonavicius and M. Nikulin
On a Degradation-Failure Model for Repairable Items / A. Lehmann
Comparison of Parametric and Semiparametric Estimates in a Degradation Model with Covariates and Traumatic Censoring / V. Couallier
Part III: Accelerated Failure Time Models and Analyses
Accelerated Life Testing, Fuzzy Information and Generalized Probability / R. Viertl
Asymptotic Theory in Rank Estimation for AFT Model under Fixed Censorship / Z. Jin and Z. Ying
An Example of Optimal Design in Accelerated Experiments / L. Gerville-Reache
Part IV: Aging Properties and Analyses
Aspects of Multivariate Aging in Exchangeable Frailty Models / F. Spizzichino
Semiparametric Models in the Studies of Aging and Longevity / A. I. Yashin
Part V: Analyses of Censored and Truncated Data
Semiparametric Transformation Models for Arbitrarily Censored and Truncated Data / C. Huber-Carol and F. Vonta
EM Algorithm for Type-II Right Censored Bivariate Normal Data / N. Balakrishnan and J.-A. Kim
Statistical Estimation Based on Interval Censored Data / M.S. Tikhov
Part VI: Regression Methods and Applications
The Covariate Order Method for Nonparametric Exponential Regression and Some Applications in Other Lifetime Models
J.V. Kvaløy and B.H. Lindquist
Effect of Ignoring Heterogeneity in Hazards Regression / H-D. I. Wu
Part VII: Time-Series Analysis
An Introduction to Efficient Estimation for Semiparametric Time Series / P. E. Greenwood, U. U. Mueller and W. Wefelmeyer
Part VIII: Inferential Methods
Distance-Based Multivariate Two Sample Tests / C. M. Cuadras and J. Fortiana
Empirical Likelihood in Nonparametric and Semiparametric Models / P. Bertail
Goodness of Fit Tests of L_2-Type / H. Liero
Part IX: Multicentre Studies
Asymptotic Properties of the CRT Estimators for Multicentre Studies / V. V. Anisimov and V. V. Fedorov
Part X: Quality of Life Studies
HRQoL and Concomitant Adjusted Mean Residual Life Analysis / P. K. Sen
Semiparametric Approach to the Multivariate Mixed Rasch Model / M-L. Feddag and M. Mesbah
Part XI: Breast Cancer Studies
Breast Cancer Prognosis using Survival Forests / T. M. Hoang and V. L. Parsons
Semiparametric Versus Parametric Regression Analysis Based on the Bounded Cumulative Hazard Model: An Application to Breast Cancer Recurrence
K. M. Boucher, B. Asselain, A. D. Tsodikov and A. Y. Yakovlev
Part XII: Inference for Processes
Estimation of Analytic Spectral Density of Gaussian Stationary Processes / I. Ibragimov
Sub-optimal Estimation of Unknown Function from Stationary Noisy Data / V. Solev
On Parameter Estimation by Contaminated Observations of Ergodic Diffusion Processes / Yu. A. Kutoyants
On Parameter Estimation for a Position-Dependent Marking of a Doubly Stochastic Poisson Process / H. Wendt and W. Kahle
Discrete Time Semi-Markov Processes for Reliability and Survival Analysis: A Nonparametric Estimation Approach / V. Barbu and N. Limnios
Non-parametric Estimation on Lifetimes of Subjects Exposed to Radiation from a Semi-Markov Process / A-L. Afchain
Part XIII: Probability Theory and Applications
An Extension of Levy's Formula to Weighted Wiener Processes / P. Deheuvels
Sur l'Inegalite de Concentration de Doeblin-Levy, Rogozin, Kesten / J. Bretagnolle
Subject Index
商品描述(中文翻譯)
**描述**
參數模型和半參數模型是廣泛應用於可靠性、生存分析和生活品質的工具。本書由目前在模型和方法的開發與評估方面工作的專家撰寫的綜述文章組成,深入探討這些工具。雖然有多個章節涉及一般理論,但幾個章節則探討了在「真實世界」可靠性理論、生存分析及相關領域中的更具體的聯繫和最新結果。
具體涵蓋的主題包括:
* 對於暴露於輻射的受試者的非參數壽命估計
* 具有老年共變量的同時退化-死亡數據的統計分析
* 在半參數不完美修復模型中維護效率的估計
* 使用生存森林的癌症預後
* 與空氣污染相關的短期健康問題:使用半參數廣義加法模型的分析
* 在加速壽命測試和模糊數據中的參數模型
* 在老化和長壽研究中的半參數模型
本書將作為一般統計學家、理論家、研究生、可靠性工程師、健康研究人員和在應用概率和統計領域工作的生物統計學家的參考資料。
**目錄**
第一部分:Cox模型與分析
在部分參數加法Cox模型中的估計 / H. Läuter
具有共變量測量誤差的比例風險模型中的非參數最大似然估計 / J-F. Dupuy
Cox比例風險模型的診斷 / C. Caroni
第二部分:退化模型與分析
具有共變量的退化和失效時間數據的半參數分析 / V. Bagdonavicius 和 M. Nikulin
可修復項目的退化-失效模型 / A. Lehmann
在具有共變量和創傷性刪除的退化模型中參數和半參數估計的比較 / V. Couallier
第三部分:加速失效時間模型與分析
加速壽命測試、模糊信息和廣義概率 / R. Viertl
固定刪除下AFT模型的秩估計的漸近理論 / Z. Jin 和 Z. Ying
加速實驗中的最佳設計示例 / L. Gerville-Reache
第四部分:老化特性與分析
可交換脆弱性模型中的多變量老化方面 / F. Spizzichino
老化和長壽研究中的半參數模型 / A. I. Yashin
第五部分:刪除和截斷數據的分析
對任意刪除和截斷數據的半參數轉換模型 / C. Huber-Carol 和 F. Vonta
對於類型II右刪除的雙變量正態數據的EM算法 / N. Balakrishnan 和 J.-A. Kim
基於區間刪除數據的統計估計 / M.S. Tikhov
第六部分:回歸方法與應用
非參數指數回歸的共變量順序方法及其在其他壽命模型中的一些應用 / J.V. Kvaløy 和 B.H. Lindquist
忽略危險回歸中的異質性影響 / H-D. I. Wu
第七部分:時間序列分析
半參數時間序列的有效估計介紹 / P. E. Greenwood, U. U. Mueller 和 W. Wefelmeyer
第八部分:推斷方法
基於距離的多變量兩樣本檢驗 / C. M. Cuadras 和 J. Fortiana
非參數和半參數模型中的經驗似然 / P. Bertail
L_2型的擬合優度檢驗 / H. Liero
第九部分:多中心研究
多中心研究的CRT估計量的漸近性質 / V. V. Anisimov 和 V. V. Fedorov
第十部分:生活品質研究
HRQoL和伴隨調整的平均剩餘壽命分析 / P. K. Sen
多變量混合Rasch模型的半參數方法 / M-L. Feddag 和 M. Mesbah
第十一部分:乳腺癌研究
使用生存森林的乳腺癌預後 / T. M. Hoang 和 V. L. Parsons
基於有界累積危險模型的半參數與參數回歸分析:乳腺癌復發的應用 / K. M. Boucher, B. Asselain, A. D. Tsodikov 和 A. Y. Yakovlev
第十二部分:過程的推斷
高斯平穩過程的解析譜密度估計 / I. Ibragimov
從平穩噪聲數據中對未知函數的次優估計 / V. Solev
通過受污染觀察對遍歷擴散過程的參數估計 / Yu. A. Kutoyants
對雙隨機泊松過程的依賴於位置的標記的參數估計 / H. Wendt 和 W. Kahle
可靠性和生存分析的離散時間半馬爾可夫過程:一種非參數估計方法 / V. Barbu 和 N. Limnios
對於暴露於輻射的受試者的非參數壽命估計來自半馬爾可夫過程 / A-L. Afchain
第十三部分:概率論及其應用
Levy公式對加權Wiener過程的擴展 / P. Deheuvels
關於Doeblin-Levy、Rogozin、Kesten的集中不等式 / J. Bretagnolle
主題索引