Statistical models and methods for reliability and survival analysis / edited by Vincent Couallier, Léo Gerville-Réache, Catherine Huber-Carol, Nikolaos Limnios, Mounir Mesbah

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Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Mathematics and statistics series | IstePublisher: London : ISTE, 2014Edition: Online-AusgDescription: Online-Ressource (1 online resource (xix, 411 pages)) : illustrationsISBN:

9781118827161
9781306203975

Subject(s):

Additional physical formats: 184821619X | 9781848216198 | Druckausg.: 978-184-821-619-8 | Online-Ausg.: Statistical models and methods for reliability and survival analysis. London : ISTE, 2014. 1 Online-Ressource (xix, 411 Seiten)MSC: MSC: *62N05 | 62N03 | 62G10 | 62G07 | 62P30 | 62-06LOC classification:

QA276

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Summary: Statistical Models and Methods for Reliability and Survival Analysis brings together contributions by specialists in statistical theory as they discuss their applications providing up-to-date developments in methods used in survival analysis, statistical goodness of fit, stochastic processes for system reliability, amongst others. Many of these are related to the work of Professor M. Nikulin in statistics over the past 30 years. The authors gather together various contributions with a broad array of techniques and results, divided into three parts - Statistical Models and Methods, Statistical Models and Methods in Survival Analysis, and Reliability and Maintenance. The book is intended for researchers interested in statistical methodology and models useful in survival analysis, system reliability and statistical testing for censored and non-censored data.Summary: Cover -- Title page -- Table of Contents -- Preface -- Biography of Mikhail Stepanovitch Nikouline -- PART 1. STATISTICAL MODELS AND METHODS -- Chapter 1. Unidimensionality, Agreement and Concordance Probability -- 1.1. Introduction -- 1.2. From reliability to unidimensionality: CAC and curve -- 1.2.1. Classical unidimensional models for measurement -- 1.2.2. Reliability of an instrument: CAC -- 1.2.3. Unidimensionality of an instrument: BRC -- 1.3. Agreement between binary outcomes: the kappa coefficient -- 1.3.1. The kappa model -- 1.3.2. The kappa coefficient -- 1.3.3. Estimation of the kappa coefficient -- 1.4. Concordance probability -- 1.4.1. Relationship with Kendall's τ measure -- 1.4.2. Relationship with Somer's D measure -- 1.4.3. Relationship with ROC curve -- 1.5. Estimation and inference -- 1.6. Measure of agreement -- 1.7. Extension to survival data -- 1.7.1. Harrell's c-index -- 1.7.2. Measure of discriminatory power -- 1.8. Discussion -- 1.9. Bibliography -- Chapter 2. A Universal Goodness-of-Fit Test Based on Regression Techniques -- 2.1. Introduction -- 2.2. The Brain and Shapiro procedure for the exponential distribution -- 2.3. Applications of the Brain and Shapiro test -- 2.4. Small sample null distribution of the test statistic for specific distributions -- 2.5. Power studies -- 2.6. Some real examples -- 2.7. Conclusions -- 2.8. Acknowledgment -- 2.9. Bibliography -- Chapter 3. Entropy-type Goodness-of-Fit Tests for Heavy-Tailed Distributions -- 3.1. Introduction -- 3.2. The entropy test for heavy-tailed distributions -- 3.2.1. Development and asymptotic theory -- 3.2.2. Discussion -- 3.3. Simulation study -- 3.4. Conclusions -- 3.5. Bibliography -- Chapter 4. Penalized Likelihood Methodology and Frailty Models -- 4.1. Introduction -- 4.2. Penalized likelihood in frailty models for clustered data.PPN: PPN: 1657672263Package identifier: Produktsigel: ZDB-26-MYL | ZDB-30-PAD | ZDB-30-PQE | BSZ-30-PQE-ULUB

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