Some Results on a Stochastic Process with a Discrete Chance Interference
AbstractIn this study, some problems connected with stochastic process with a discrete chance interference X(t) are investigated. In particular, one-dimensional distribution functions of the process are obtained and under some weak assumptions, the ergodic theorem for this process is given. As a result, the explicit form of ergodic distribution function is derived. Moreover, the double transform of distribution function of additive functional of the process X(t) is derived. Furthermore, asymptotic behaviour of the additive functional is investigated as t→∞. Based on these results characteristic function of ergodic distribution of the process X(t) is obtained by using a joint distribution of random variables N and SN. In addition, the first and second moments of ergodic distribution of X(t) are expressed in terms of the moments of random variable N.
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Khaniev, T.A. Some Results on a Stochastic Process with a Discrete Chance Interference. Math. Comput. Appl. 1999, 4, 145-152.
Khaniev TA. Some Results on a Stochastic Process with a Discrete Chance Interference. Mathematical and Computational Applications. 1999; 4(2):145-152.Chicago/Turabian Style
Khaniev, T. A. 1999. "Some Results on a Stochastic Process with a Discrete Chance Interference." Math. Comput. Appl. 4, no. 2: 145-152.