0410318 20240903170613.820060210235959.9 12 s. cav_un_epca*02971630023-5954362 (2000)165-176Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101227 Volf Petr UTIA-B Department of Stochastic Informatics Ústav teorie informace a automatizace AV ČR, v. v. i. 12B GA201/97/0354 GA ČR cav_un_auth*0005883 GA402/98/0742 GA ČR cav_un_auth*0009149 AV0Z1075907 The notion of the counting process is recalled and the ideaof the cumulative process, the stochastic process which cumulates random increments at random moments, is presented. We derive the martingale - compensator decomposition of the process, then we prove the uniform consistency of the estimator of the rate of cumulation and the asymptotic normality of the process of residuals. On this basis, the goodness-of-fit test and the test of homogeneity are proposed. BB SI http://hdl.handle.net/11104/0130409 UTIA-B 20000034 2000 cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 36 č. 2 2000 165 176 Ústav teorie informace a automatizace AV ČR, v. v. i.