LEADER 03875nam 22005655 450 001 9910254275703321 005 20251202162348.0 010 $a3-319-57472-8 024 7 $a10.1007/978-3-319-57472-1 035 $a(CKB)4340000000062049 035 $a(DE-He213)978-3-319-57472-1 035 $a(MiAaPQ)EBC4914142 035 $a(PPN)20367149X 035 $a(EXLCZ)994340000000062049 100 $a20170713d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aReliability is a New Science $eGnedenko Was Right /$fby Paolo Rocchi 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XV, 152 p. 50 illus.) 311 08$a3-319-57471-X 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $a1 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. 330 $aThis 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. 606 $aMathematical models 606 $aStatistics 606 $aSecurity systems 606 $aFinancial services industry 606 $aMathematical Modeling and Industrial Mathematics 606 $aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences 606 $aSecurity Science and Technology 606 $aFinancial Services 615 0$aMathematical models. 615 0$aStatistics. 615 0$aSecurity systems. 615 0$aFinancial services industry. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 615 24$aSecurity Science and Technology. 615 24$aFinancial Services. 676 $a003.3 700 $aRocchi$b Paolo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0441156 906 $aBOOK 912 $a9910254275703321 996 $aReliability is a New Science$91562279 997 $aUNINA