On random motions with velocities alternating at Erlang-distributed random times

Advances in Applied Probability

Volumn 33, Issue 3, 2001, Pages 690-701

  Di Crescenzo, A ^a  

^a UNIVERSITY OF BASILICATA   (Italy)

Author keywords

Alternating renewal process; Distribution of the maximum; Pseudo Bessel functions; Telegrapher's random process

Indexed keywords

BESSEL FUNCTIONS; BOUNDARY CONDITIONS; FINANCE; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; QUEUEING THEORY; VELOCITY;

ALTERNATING RENEWAL PROCESS; ERLANG DISTRIBUTED RANDOM TIMES; POISSON PROCESS; PSEUDO BESSEL FUNCTION; TELEGRAPHERS RANDOM PROCESS;

MARKOV PROCESSES;

EID: 0035439048     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1005091360     Document Type: Article

References (21)

1. Probabilistic analysis of the telegrapher's process with drift by means of relativistic transformations
2. Decomposition of the bessel functions with respect to the cyclic group of order n
3. Turnover in the mean survival time for a particle moving between 2 traps
4. Pseudo-Bessel functions in the description of random motions
5. A probabilistic analogue of the mean value theorem and its applications to reliability theory
6. Exact transient analysis of a planar random motion with three directions
7. Stochastic comparison of wear processes characterized by random linear wear rates
8. On prices' evolutions based on alternating random processes
9. First-passage time, maximum displacement, and Kac's solution of the telegrapher equation
10. Properties of the telegrapher's random process with or without a trap
11. On diffusion by discontinuous movements and the telegraph equation
12. A stochastic model related to the telegrapher's equation
13. The equations of Markovian random evolution on the line
14. First passage times for a generalized telegrapher's equation
15. On the maximum displacement of a one-dimensional diffusion process described by the telegrapher's equation
16. A continuous-time generalization of the persistent random walk
17. Probability law, flow function, maximum distribution of wave-governed random motions and their connections with Kirchhoff's laws
18. Random motions governed by third-order equations
19. Motions with reflecting and absorbing barriers driven by the telegraph equation
20. On a 2n-valued telegraph signal and the related integrated process
21. Reliability and maintainability