TY  - JOUR
SN  - 0001-8678
Y1  - 2013/12//
N2  - We consider a random trial-based telegraph process, which describes a motion on the real line with two constant velocities along opposite directions. At each epoch of the underlying counting process the new velocity is determined by the outcome of a random trial. Two schemes are taken into account: Bernoulli trials and classical Pòlya urn trials. We investigate the probability law of the process and the mean of the velocity of the moving particle. We finally discuss two cases of interest: (i) the case of Bernoulli trials and intertimes having exponential distributions with linear rates (in which, interestingly, the process exhibits a logistic stationary density with non-zero mean), and (ii) the case of Pòlya trials and intertimes having first Gamma and then exponential distributions with constant rates. 
JF  - Advances in applied probability
VL  - 45
PB  - Applied Probability Trust
EP  - 1136
A1  - Crimaldi, Irene
A1  - Di Crescenzo, Antonio
A1  - Iuliano, Antonella
A1  - Martinucci, Barbara
SP  - 1111
ID  - eprints2084
TI  - A generalized telegraph process with velocity driven by random trials
AV  - none
KW  - telegraph process
KW  -  random intertimes
KW  -  random velocities
KW  -  Bernoulli scheme
KW  -  Pòlya urn model
UR  - http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.aap/1386857860&page=record
IS  - 4
ER  -