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
Keywords
Related Articles
- EP ID EP412990
- DOI 10.9790/487X-2010012435.
- Views 61
- Downloads 0
Corporate Social Reporting Practices Of Selected Public Sector Companies of India
This study examines the extent of disclosure in annual reports for social reporting by Indian corporate. Data were collected from the annual reports of the companies for the year 2014 and the level of disclosure is measu...
Understanding the Gap between Expected Performance and Actual Performance of Employees at Jordan Universities
This research study is to bridge the gap between expected performance and actual performance of employees in an organization. The impact of training on employee job performance research area in Human Resource Management....
Fluorescence Quenching Studies on Some Substituted Amines by Phenolphthalein
Fluorescence spectroscopy has assumed a major role in analysis, particularly in the determination of trace contaminants is our environment, industries and bodies, because for applicable compounds fluorescence gives high...
Outsourcing and Efficiency of Nigerian Public Administration
The confidence reposed on Public Administration as the apparatus through which government at all levels improve the living standard of the people through the various processes that ensure that policies, programmes, purpo...
The Impact of Waiting Time towards Customers’ Satisfaction in Fast Food Establishments: Evidence from Bangladesh
Probing the effectiveness of waiting time satisfaction on customer satisfaction is the prime purpose of this study. A survey done on 165 randomly selected customers at fast food restaurants in Bangladesh to perceive the...