Random point processes and models of cumulated damage

0410808 20240103182240.720060210235959.9 Random point processes and models of cumulated damage Trondheim NTNU Trondheim 2002 4 s. Third International Conference on Mathematical Methods in Reliability. Methodology and Practice. Communications651-654LangsethH.LindquistB. reliability survival analysis cumulative process cav_un_auth*0101227 Volf Petr UTIA-B Department of Stochastic Informatics Ústav teorie informace a automatizace AV ČR, v. v. i. 12B GA201/02/0049 GA ČR cav_un_auth*0005724 CEZ:AV0Z1075907 The contribution deals with a stochastic process which cumulates random increments at random moments, the cumulative process. A multiplicative model of rate of cumulation, with regression on covariate processes, is studied. The consistency of estimators and the asymptotic normality of process of residuals is proven. An application dealing with the process of growing damage of a technical device is considered and the problem of prediction of the cumulative process behaviour is discussed. cav_un_auth*0212901 International Conference on Mathematical Methods in Reliability /3./ Trondheim NO 17.06.2002-20.06.2002 BB SI http://hdl.handle.net/11104/0130895 UTIA-B 20020022 2002 2002 Trondheim NTNU Trondheim Third International Conference on Mathematical Methods in Reliability. Methodology and Practice. Communications 651 654 Langseth H. 340 Lindquist B. 340