Generalized Polya-Aeppli Process and Its Applications in Risk Modelling and Analysis
Journal Title: IOSR journal of Business and Management - Year 2018, Vol 20, Issue 10
Abstract
In this paper, we introduce a new compound Poisson process with truncated negative binomial compounding distribution, which we will call as the Generalized Polya-Aeppli Process. We derived expressions for its probability mass function (p.m.f) and discuss several properties. We develop a new risk model with the Generalized Polya-Aeppli process as the counting process. Also, we derived the joint distribution of the time to ruin and deficit at the time of ruin. The differential equation of the ruin probability is given. As an example, we consider the case where the claim size follows the exponential distribution. We derive distributions of aggregate claims and gain (loss) from the Generalized Polya-Aeppli risk model and compute the stop loss premium.
Authors and Affiliations
Shalitha Jacob, K. K. Jose
Attitude of local residents towards the development of tourism in Vung Tau
It’s certain that tourism has been playing a crucial role in the economic development of a nation in general and Vung Tau City in particular. Although the local government has always been striving to develop Vung Tau tou...
Value Chain Equity for Tomato and Onion Crops in Fayoum
Growers of horticultural crops including tomato and onion are the weak actors of the value chain and other actors are more powerful. The aim of this paper is to estimate the share of each value chain actor in unit cost,...
Digital Farming: The Beacon of New Age Agriculture for Feeding Billons in India
Sustaining in remote areas of the world, struggling to nurture crops on tiny plots of poor land, farmer of India overuse macro fertilizers and miss the benefits they could gain from micro-fertilizers appropriate for thei...
Buying Attitudes of the College Studentstoward Fast Foods In Lunglei Town, Mizoram
Fast foods have become more popular today due to accessibility, taste, low price, convenience, variety of items, busy working schedule and so on. Fast food refers to food that can be served ready to eat. Fast foods are p...
Indian Financial System- A Study of Select Issues
The Indian financial sector today is significantly different from what it used to be a few decades back, in the 1970s and 1980s. The Indian financial system of the pre-reform period essentially catered to the needs of pl...