Weak Convergence Theorem For A Semi-Markovian Random Walk With Delay And Pareto Distributed Interference Of Chance


KESEMEN T. , Yetim F.

1st International Conference on Analysis and Applied Mathematics (ICAAM), Gümüşhane, Türkiye, 18 - 21 Ekim 2012, cilt.1470, ss.255-258 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1470
  • Doi Numarası: 10.1063/1.4747689
  • Basıldığı Şehir: Gümüşhane
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.255-258

Özet

A semi-Markovian random walk with delay and a discrete interference of chance (X(t)) is constructed. The weak convergence theorem is proved for the ergodic distribution of the process X(t) and the limit form of the ergodic distribution is found, when the random variables {zeta(n)}, n >= 0 have Pareto distribution with parameters (alpha, lambda), where the random variables zeta(n) describe the discrete interference of chance.