Renewal Theory for Functionals of a Markov Chain with Compact State Space

Klüppelberg, Claudia und Pergamenchtchikov, S. (2001): Renewal Theory for Functionals of a Markov Chain with Compact State Space. Sonderforschungsbereich 386, Discussion Paper 264

Abstract

Motivated by multivariate random recurrence equations we prove a new analogue of the Key Renewal Theorem for functionals of a Markov chain with compact state space in the spirit of Kesten. We simplify and modify Kesten's proof.

• Dokumententyp: Paper
• Keywords: key renewal theorem, Markov chain, random recurrence equation, Riemann integrability
• Fakultät: Mathematik, Informatik und Statistik > Statistik > Sonderforschungsbereich 386 ; Sonderforschungsbereiche > Sonderforschungsbereich 386
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• Sprache: Englisch