# Bounds for the transition density of time-homogeneous diffusion processes

@article{Downes2008BoundsFT, title={Bounds for the transition density of time-homogeneous diffusion processes}, author={Andrew N. Downes}, journal={Statistics \& Probability Letters}, year={2008}, volume={79}, pages={835-841} }

## 5 Citations

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## References

SHOWING 1-10 OF 10 REFERENCES

### First Passage Densities and Boundary Crossing Probabilities for Diffusion Processes

- Mathematics
- 2007

We consider the boundary crossing problem for time-homogeneous diffusions and general curvilinear boundaries. Bounds are derived for the approximation error of the one-sided (upper) boundary crossing…

### Comparison theorem and estimates for transition probability densities of diffusion processes

- Mathematics
- 2003

We establish several comparison theorems for the transition probability density pb(x,t,y) of Brownian motion with drift b, and deduce explicit, sharp lower and upper bounds for pb(x,t,y) in terms of…

### A representation formula for transition probability densities of diffusions and applications

- Mathematics
- 2004

### Some remarks on the Rayleigh process

- MathematicsJournal of Applied Probability
- 1986

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…

### Statistics of random processes

- Mathematics
- 1977

1. Essentials of Probability Theory and Mathematical Statistics.- 2. Martingales and Related Processes: Discrete Time.- 3. Martingales and Related Processes: Continuous Time.- 4. The Wiener Process,…

### Handbook of Brownian Motion - Facts and Formulae

- Mathematics
- 1996

I: Theory.- I. Stochastic processes in general.- II. Linear diffusions.- III. Stochastic calculus.- IV. Brownian motion.- V. Local time as a Markov process.- VI. Differential systems associated to…

### Continuous martingales and Brownian motion

- Mathematics
- 1990

0. Preliminaries.- I. Introduction.- II. Martingales.- III. Markov Processes.- IV. Stochastic Integration.- V. Representation of Martingales.- VI. Local Times.- VII. Generators and Time Reversal.-…

### Foundations of Modern Probability. Probability and its Applications

- 1997