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This book mainly provides readers with stochastic and statistical properties of conditional order statistics and conditional spacings as well as some stochastic properties of load-sharing systems. The conditional lifetime is widely used in survival analysis and reliability-related areas, and the conditional spacing is very important in goodness-of-fit, Type-II censoring and life tests etc.. Although the main focus in the text is on this crucial characteristic, our presentation cannot be restricted to conditional order statistics, conditional spacing and load-sharing system analysis alone, other important reliability and corresponding ordered properties are studied as well. This book offers a comprehensive treatment of different reliability models focusing on properties of the residual life and conditional spacing of coherent systems and load-sharing systems. Our presentation combines classical and recent results of other authors with our research findings of the last fifteen years. The book is mostly targeted at researchers and engineers related to reliability theory and engineering, can be applicable as reference for both at senior undergraduate and graduate level. The results obtained can be used as a supplement and extensions and generalizations to reliability theory and practical reliability studies as well as related fields. Moreover, most of them may be regarded as technical support for engineering designers to design better products with higher reliability performance.
Table des matières
Chapter 1. Prelimilaries.- Chapter 2. The Residual Life and Inactivity Time of Coherent Systems.- Chapter 3. On Coherent Systems under Double Monitoring.- Chapter 4. The Residual Life of Surviving Component.- Chapter 5. The Number of Failed Components of Coherent Systems.- Chapter 6. Stochastic Properties and Parameter Estimation of Standby Systems.- Chapter 7. The Conditional Spacings and Their Stochastic Properties.
A propos de l'auteur
Professor Zhang Zhengcheng has been engaged in scientific research on the theory of system reliability and applied stochastic processes, mainly focusing on studying conditional order statistics, conditional spacings, and the ordered properties of load-sharing systems. The relevant results have been recognized by domestic and foreign scholars and have been published in international journals. He was an (associate) professor of Lanzhou Jiaotong University in China from 2009 to 2018, and have been a professor in HaiNan Normal University since 2019. Moreover, he visited William Q. Meeker, a distinguished professor at Iowa State University from August 2011 to December 2011, and distinguished professor N.Balakrishnan at McMaster University,from November 2012 to December 2013. And he has been doing collaborative research with them in reliability and statistics.
Résumé
This book mainly provides readers with stochastic and statistical properties of conditional order statistics and conditional spacings as well as some stochastic properties of load-sharing systems. The conditional lifetime is widely used in survival analysis and reliability-related areas, and the conditional spacing is very important in goodness-of-fit, Type-II censoring and life tests etc.. Although the main focus in the text is on this crucial characteristic, our presentation cannot be restricted to conditional order statistics, conditional spacing and load-sharing system analysis alone, other important reliability and corresponding ordered properties are studied as well. This book offers a comprehensive treatment of different reliability models focusing on properties of the residual life and conditional spacing of coherent systems and load-sharing systems. Our presentation combines classical and recent results of other authors with our research findings of the last fifteen years. The book is mostly targeted at researchers and engineers related to reliability theory and engineering, can be applicable as reference for both at senior undergraduate and graduate level. The results obtained can be used as a supplement and extensions and generalizations to reliability theory and practical reliability studies as well as related fields. Moreover, most of them may be regarded as technical support for engineering designers to design better products with higher reliability performance.
