Methodology And Computing In Applied Probability

, Volume 6, Issue 3, pp 323–341 | Cite as

Almost Sure Comparisons for First Passage Times of Diffusion Processes through Boundaries

  • L. Sacerdote
  • C. E. Smith


Conditions on the boundary and parameters that produce ordering in the first passage time distributions of two different diffusion processes are proved making use of comparison theorems for stochastic differential equations. Three applications of interest in stochastic modeling are presented: a sensitivity analysis for diffusion models characterized by means of first passage times, the comparison of different diffusion models where first passage times represent an important feature and the determination of upper and lower bounds for first passage time distributions.

diffusion process first passage time comparison theorem Feller process Ornstein–Uhlenbeck process 


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© Kluwer Academic Publishers 2004

Authors and Affiliations

  • L. Sacerdote
    • 1
  • C. E. Smith
    • 2
  1. 1.Dipartimento di MatematicaUniversità di TorinoTorinoItaly
  2. 2.Department of StatisticsNorth Carolina State UniversityRaleigh

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