Analysing Results of the Practical Examination in English - A Voice on Modularity in FL Acquisition - Wydawnictwo Uniwersytetu Wrocławskiego - sklep internetowy

Fractional negative binomial and Pólya processes

  1. Palaniappan Vellai Samy ORCiD:
  2. Aditya Maheshwari ORCiD:


In this paper, we define a fractional negative binomial process (FNBP) by replacing the Poisson process by a fractional Poisson process (FPP) in the gamma subordinated form of the negative binomial process. It is shown that the one-dimensional distributions of the FPP and the FNBP are not infinitely divisible. Also, the space fractional Pólya process (SFPP) is defined by replacing the rate parameter λ by a gamma random variable in the definition of the space fractional Poisson process. The properties of the FNBP and the SFPP and the connections to PDEs governing the density of the FNBP and the SFPP are also investigated.

Pobierz artykuł

Ten artykuł

Probability and Mathematical Statistics

38, z. 1, 2018

Strony od 77 do 101

Inne artykuły autorów

Google Scholar


Twoj koszyk (produkty: 0)

Brak produktów w koszyku

Twój koszyk Do kasy