Song, Renming; Vondracek, Zoran On the relationship between subordinate killed and killed subordinate processes. (English) Zbl 1187.60057 Electron. Commun. Probab. 13, 325-336 (2008). Summary: We study the precise relationship between the subordinate killed and killed subordinate processes in the case of an underlying Hunt process, and show that, under minimal conditions, the former is a subprocess of the latter obtained by killing at a terminal time. Moreover, we also show that the killed subordinate process can be obtained by resurrecting the subordinate killed one at most countably many times. Cited in 21 Documents MSC: 60J25 Continuous-time Markov processes on general state spaces 60G51 Processes with independent increments; Lévy processes Keywords:Markov process; subordination; killing; resurrection PDFBibTeX XMLCite \textit{R. Song} and \textit{Z. Vondracek}, Electron. Commun. Probab. 13, 325--336 (2008; Zbl 1187.60057) Full Text: DOI EuDML EMIS