TY  - BOOK
AU  - Rocchi,Paolo
ED  - SpringerLink (Online service)
TI  - Reliability is a New Science: Gnedenko Was Right 
SN  - 9783319574721
AV  - TA342-343 
U1  - 003.3 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Statistics
KW  - System safety
KW  - Insurance
KW  - Mathematical Modeling and Industrial Mathematics
KW  - Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
KW  - Quality Control, Reliability, Safety and Risk
N1  - 1 Background and Motivation. - 2 Old and Novel Tools for the Calculus of the Hazard Rate -- 3 How Systems Break Down. - 4 Constant Decline -- 5 Random Factors -- 6 Accelerated Decline -- 7 When the Premises are Untrue -- 8 Ideal Hazard Rate 9. Properties of Repairable Systems -- 10. Conclusive Remarks and Comments -- Appendix A History of Reliability in Literature -- Appendix B Two Sided Estimates of Rate Convergence in Limit Theorem for Minimums of Random Variables -- Appendix C Mortality Plateau
N2  - This work illustrates research conducted over a ten-year timespan and addresses a fundamental issue in reliability theory. This still appears to be an empirically disorganized field and the book suggests employing a deductive base in order to evolve reliability as a science. The study is in line with the fundamental work by Gnedenko. Boris Vladimirovich Gnedenko (1912 – 1995) was a Soviet mathematician who made significant contributions in various scientific areas. His name is especially associated with studies of dependability, for which he is often recognized as the 'father' of reliability theory. In the last few decades, this area has expanded in new directions such as safety, security, risk analysis and other fields, yet the book ‘Mathematical Methods in Reliability Theory’ written by Gnedenko with Alexander Soloviev and Yuri Bélyaev still towers as a pillar of the reliability sector’s configuration and identity. The present book proceeds in the direction opened by the cultural project of the Russian authors; in particular it identifies different trends in the hazard rate functions by means of deductive logic and demonstrations. Further, it arrives at multiple results by means of the entropy function, an original mathematical tool in the reliability domain. As such, it will greatly benefit all specialists in the field who are interested in unconventional solutions
UR  - https://doi.org/10.1007/978-3-319-57472-1
ER  -