{"product_id":"degradation-processes-in-reliability-hardback-9781848218888","title":"Degradation Processes in Reliability (Hardback) 9781848218888","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDegradation Processes in Reliability\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eWaltraud Kahle (Author), Sophie Mercier (Author), Christian Paroissin (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781848218888, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 7 June 2016\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e239 pages\u003cbr\u003e24.1 x 16.5 x 1.8 cm, 0.499 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\"The main focus of the book is on parametric models. In such a case likelihood maximization is recommended as the main estimation method. The form of the likelihood function is always rigorously derived and the procedure of its maximization is discussed. If the covariance matrix of ML estimates is sufficiently simple, it is also presented. For some models, estimation by the method of moments is described; the corresponding equations are then also rigorously derived. The book also contains very detailed descriptions of various methods for simulation of considered degradation processes.\" (\u003ci\u003eMathematical Reviews\/MathSciNet\u003c\/i\u003e April 2017)\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\"Degradation process\" refers to many types of reliability models, which correspond to various kinds of stochastic processes used for deterioration modeling. This book focuses on the case of a univariate degradation model with a continuous set of possible outcomes. The envisioned univariate models have one single measurable quantity which is assumed to be observed over time.\u003c\/p\u003e \u003cp\u003eThe first three chapters are each devoted to one degradation model. The last chapter illustrates the use of the previously described degradation models on some real data sets. For each of the degradation models, the authors provide probabilistic results and explore simulation tools for sample paths generation. Various estimation procedures are also developed.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eIntroduction\u003c\/p\u003e \u003cp\u003e1. Wiener Processes\u003c\/p\u003e \u003cp\u003e2. Gamma Processes\u003c\/p\u003e \u003cp\u003e3. Doubly Stochastic Marked Poisson Processes\u003c\/p\u003e \u003cp\u003e4. Model Selection and Application to Real Data Sets\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-ISTE","offers":[{"title":"Brand New","offer_id":52449399931160,"sku":"9781848218888","price":103.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781848218888.jpg?v=1785198117","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/degradation-processes-in-reliability-hardback-9781848218888","provider":"Freshly Printed Books","version":"1.0","type":"link"}