On the distributions of a renewal reward process and it's additive functional

Xanıyev T., Aliyev R., KÜÇÜK Z., Bekar N. O.

Mathematical and Computational Applications, vol.13, no.1, pp.41-50, 2008 (Scopus, TRDizin) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 13 Say: 1
  • Nəşr tarixi: 2008
  • Doi nömrəsi: 10.3390/mca13010041
  • jurnalın adı: Mathematical and Computational Applications
  • Jurnalın baxıldığı indekslər: Scopus, TR DİZİN (ULAKBİM)
  • Səhifə sayı: pp.41-50
  • Açar sözlər: Additive functional, Discrete interference of chance, Finite dimensional distribution, Renewal reward process
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

In this study, a renewal reward process with a discrete interference of chance (X(t)) is constructed and distribution of the process X(t) is investigated. Onedimensional distribution of the process X(t) is given by means of the probability characteristics of the renewal processes {Tn} and {Sn}. Moreover, one dimensional distribution function of the additive functional Jf(t) of the process X(t) is expressed by the probability characteristics of the initial sequences of the random variables [ξn} and {ηn}. © Association for Scientific Research.