?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Feprints.imtlucca.it%2F1346%2F&rft.title=A+generalized+telegraph+process+with+velocity+driven+by+random+trials&rft.creator=Crimaldi%2C+Irene&rft.creator=Di+Crescenzo%2C+Antonio&rft.creator=Iuliano%2C+Antonella&rft.creator=Martinucci%2C+Barbara&rft.subject=Q+Science+(General)&rft.subject=QA+Mathematics&rft.description=We+consider+a+random+trial-based+telegraph+process%2C+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%3A+Bernoulli+trials+and+classical+P%C3%B2lya+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%3A+(i)+the+case+of+Bernoulli+trials+and+intertimes+having+exponential+distributions+with+linear+rates+(in+which%2C+interestingly%2C+the+process+exhibits+a+logistic+stationary+density+with+non-zero+mean)%2C+and+(ii)+the+case+of+P%C3%B2lya+trials+and+intertimes+having+first+Gamma+and+then+exponential+distributions+with+constant+rates.+&rft.date=2012-09-03&rft.type=Working+Paper&rft.type=NonPeerReviewed&rft.identifier=++Crimaldi%2C+Irene+and+Di+Crescenzo%2C+Antonio+and+Iuliano%2C+Antonella+and+Martinucci%2C+Barbara++A+generalized+telegraph+process+with+velocity+driven+by+random+trials.++Technical+Report+++++++(Submitted)+++&rft.relation=http%3A%2F%2Farxiv.org%2Fabs%2F1209.3006