SOME REMARKS ON THE RAYLEIGH PROCESS.
Journal of Applied Probability, ISSN: 0021-9002, Vol: 23, Issue: 2, Page: 398-408
1986
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Article Description
The transition p. d. f. for a one-dimensional Rayleigh process in the presence of an absorption condition or a zero-flux condition in the origin is obtained in closed form. The first-passage-time problem through an arbitrary constant boundary is then considered and the moment-generating function is determined. In some particular cases the first-passage-time p. d. f. is explicitly derived. Use of some of these results is finally made to obtain the transition p. d. f. of the affine drift-linear infinitesimal-variance diffusion process when the origin is an entrance or a regular boundary in the presence of a reflection condition.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0022730233&origin=inward; http://dx.doi.org/10.1017/s0021900200029697; https://www.cambridge.org/core/product/identifier/S0021900200029697/type/journal_article; https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0021900200029697; http://dx.doi.org/10.2307/3214182
Cambridge University Press (CUP)
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