Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • Recursive Evaluation of Some Bivariate Compound Distributions

  • Raluca Vernic
  • Journal:
    ASTIN Bulletin: The Journal of the IAA / Volume 29 / Issue 2 / November 1999
    Published online by Cambridge University Press:
    29 August 2014, pp. 315-325
    Print publication:
    November 1999
    • Article
      • You have access
    • PDF
    • Export citation

  • In this paper we consider compound distributions where the counting distribution is a bivariate distribution with the probability function (Pn1,n2)n1,n2≥0 that satisfies a recursion in the form

    We present an algorithm for recursive evaluation of the corresponding compound distributions and some examples of distributions in this class.

  • Note on the reversible counters system of Lampard

  • R. M. Phatarfod
  • Journal:
    Journal of Applied Probability / Volume 11 / Issue 3 / September 1974
    Published online by Cambridge University Press:
    14 July 2016, pp. 624-628
    Print publication:
    September 1974

  • The paper considers an extension to the reversible counters system of Lampard [1]. In Lampard's model the input processes are two independent Poisson processes; this results in a gamma Markov sequence for the time-interval between successive output pulses and a negative binomial Markov sequence for the counts at the times of out-put pulses. We consider the input process to be a bivariate Poisson process and show that the first out-put process given above is not affected, while the second out-put-process becomes of a type studied in the theory of branching processes.