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Further applications of a general rate conservation law

Indrajit Bardhan

Stochastic Processes and their Applications, 1995, vol. 60, issue 1, 113-130

Abstract: Some further applications of a General Rate Conservation Law (GRCL) for stationary semimartingales are presented. GRCL is used to characterize the distribution of the reflection of Lévy processes with arbitrary jumps. The stationary distribution of a general jump-diffusion with a reflecting boundary is derived and an interesting stochastic decomposition result is obtained. A multidimensional version of GRCL is used to examine the stationary behaviour of a multidimensional reflected Lévy process. The relationship between GRCL and pathwise rate conservation is reviewed.

Keywords: Rate; conservation; Stationary; ergodic; processes; Semimartingales; Lévy; processes; State-dependent; jump-diffusions; Sample-path (search for similar items in EconPapers)
Date: 1995
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