On the distribution of first hits for the symmetric stable processes.

1961/01/01 by Robert Blumenthal, R. K. Getoor, Daniel Ray · 7 citations
Economics, Econometrics and Finance · #Stochastic processes and financial applications

paper · pdf · doi:10.1090/s0002-9947-1961-0126885-4

openalex publication_date 1961/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

Abstract

Let X(t); = 0] be the symmetric stable process in RN of index a with 0<a = 2; that is, a process with stationary independent increments whose continuous transition density, relative to Lebesgue measure in RN, is (1.1) p(t,x) = (2^)-* f ei(*^e->w"dt.

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