![On the discounted distribution functions for the Erlang(2) risk process [An article from: Insurance Mathematics and Economics]](https://www.ebooknetworking.net/books/B00/0RQ/bigB000RQYIPU.jpg)
On the discounted distribution functions for the Erlang(2) risk process [An article from: Insurance Mathematics and Economics]
Book Details
Author(s)C.C.L. Tsai, L.j. Sun
PublisherElsevier
ISBN / ASINB000RQYIPU
ISBN-13978B000RQYIP2
AvailabilityAvailable for download now
MarketplaceUnited States 🇺🇸
Description
This digital document is a journal article from Insurance Mathematics and Economics, published by Elsevier in 2004. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.
Description:
In this paper, we derive explicit expressions for the discounted joint and marginal distribution functions of the surplus immediately prior to the time of ruin and the deficit at the time of ruin, and for the discounted distribution function of the amount of the claim causing ruin, for the Erlang(2) process. We also show that these distribution functions satisfy defective renewal equations. Moreover, we find the similarity between expressions for these functions based on the Erlang(1) and Erlang(2) processes, respectively.
Description:
In this paper, we derive explicit expressions for the discounted joint and marginal distribution functions of the surplus immediately prior to the time of ruin and the deficit at the time of ruin, and for the discounted distribution function of the amount of the claim causing ruin, for the Erlang(2) process. We also show that these distribution functions satisfy defective renewal equations. Moreover, we find the similarity between expressions for these functions based on the Erlang(1) and Erlang(2) processes, respectively.
