scholarly journals First Passage Time Analysis of Stochastic Process Algebra Using Partial Orders

2001 ◽  
pp. 220-235 ◽  
Author(s):  
Theo C. Ruys ◽  
Rom Langerak ◽  
Joost-Pieter Katoen ◽  
Diego Latella ◽  
Mieke Massink
Keyword(s):  
Stochastic Process ◽  
Process Algebra ◽  
First Passage Time ◽  
Passage Time ◽  
Partial Orders ◽  
Time Analysis ◽  
First Passage ◽  
Stochastic Process Algebra

scholarly journals Fractional compound Poisson processes with multiple internal states

2018 ◽  
Vol 13 (1) ◽  
pp. 10 ◽  
Author(s):  
Pengbo Xu ◽  
Weihua Deng
Keyword(s):  
Stochastic Process ◽  
Random Walk ◽  
Waiting Time ◽  
Anomalous Diffusion ◽  
First Passage Time ◽  
Passage Time ◽  
Poisson Processes ◽  
First Passage ◽  
Internal States ◽  
Functional Distribution

For the particles undergoing the anomalous diffusion with different waiting time distributions for different internal states, we derive the Fokker-Planck and Feymann-Kac equations, respectively, describing positions of the particles and functional distributions of the trajectories of particles; in particular, the equations governing the functional distribution of internal states are also obtained. The dynamics of the stochastic processes are analyzed and the applications, calculating the distribution of the first passage time and the distribution of the fraction of the occupation time, of the equations are given. For the further application of the newly built models, we make very detailed discussions on the none-immediately-repeated stochastic process, e.g., the random walk of smart animals.

Evaluating wild Turkey movement ecology: An example using first-passage time analysis

2014 ◽  
Vol 38 (2) ◽  
pp. 407-413 ◽  
Author(s):  
Michael E. Byrne ◽  
Joshua D. Guthrie ◽  
Jason Hardin ◽  
Bret A. Collier ◽  
Michael J. Chamberlain
Keyword(s):  
First Passage Time ◽  
Movement Ecology ◽  
Passage Time ◽  
Wild Turkey ◽  
Time Analysis ◽  
First Passage
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