193
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Heine process as a q-analog of the Poisson process—waiting and interarrival times

&
Pages 4088-4102 | Received 12 Mar 2015, Accepted 23 Jul 2015, Published online: 06 May 2016

References

  • Andrews, G., Ashey, R., Roy, R. (1999). Special Functions. Cambridge: Cambridge University Press.
  • Charalambides, Ch.A. (2010). Discrete q-distributions on Bernoulli trials with geometrically varying success probability. J. Stat. Plann. Inference 140:2355–2383.
  • Christiansen, J.S. (2003). The moment problem associated with the q-Laguerre orthogonal polynomials. Constr. Approx. 19:1–22.
  • Kemp, A.W., Newton, J. (1990). Certain state-dependent processes for dichotomized parasite populations. J. Appl. Probab. 27:251–258.
  • Kemp, A.W., Kemp, C.D. (1991). Welson's dice data revisited. Amer. Stat. 45:216–222.
  • Kemp, A.W. (1992a). Heine euler extensions of the Poisson distribution. Comm. Stat.-Theory Methods 21:571–588.
  • Kemp, A.W. (1992b). Steady-state Markov chain models for the Heine and Euler distributions. J. Appl. Probab. 29:869–876.
  • Kyriakoussis, A., Vamvakari, M.G. (2013). On a q-analogue of the Stirling formula and a continuous limiting behaviour of the q-Binomial distribution-Numerical calculations. Methodol. Comput. Appl. Probab. 15(1):187–213.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.