Multivariate Credibility for Aggregate Loss Models Credibility is a form of insurance pricing that is widely used, particularly in North America. It is a special type of experience rating that employs a weighted average of claims experience and a previously established price to determine a new price, for each risk class under consideration. This article extends traditional credibility formulas ...

Today’s software systems are growing rapidly in number, size, complexity, amount of distribution and number of users with the evolving technologies being geared towards improving their quality. Aspect oriented software development is a new paradigm that claims to improve the quality of software using separation of concerns. In this paper we show how the aspect oriented paradigm has evolved from...

The amount, distribution, and composition of vitamin A stored in the eyes of 29 postmortem donors was determined by a combination of techniques, including high-pressure liquid chromatography. The vitamin A concentration in the pigment epithelium-choroid (RPE-Ch) was the highest observed for human non-liver tissue and amounted to 7.9 +/- 4.3 nmol/eye (n = 28), or 10.4 +/- 7.1 microgram/gm (n = 2...

The purpose of the paper is IO develop a method of calculating the aggregate loss distribution for a policy covering excess claims over occurrence limit plus claims arising from the primary losses over an underlying annual aggregate. Usually. when working with losses from more than one source you would determine the aggregate distributions of each component and convolute the result IO get the o...

We approximate the distribution of total expenditure of a retail company over warranty claims incurred in a fixed period [0, T ], say the following quarter. We consider two kinds of warranty policies, namely, the non-renewing free replacement warranty policy and the non-renewing pro-rata warranty policy. Our approximation holds under modest assumptions on the distribution of the sales process o...

We present novel results that relate energy and information transfer with sensitivity to initial conditions in chaotic multi-dimensional Hamiltonian systems. We show the relation among Kolmogorov-Sinai entropy, Lyapunov exponents, and upper bounds for the Mutual Information Rate calculated in the Hamiltonian phase space and on bi-dimensional subspaces. Our main result is that the net amount of ...

The objective of this study was to take a closer look at defense-related expenses for medical malpractice cases over time. We conducted a retrospective review of medical malpractice claims reported to the Physician Insurers Association of America's Data Sharing Project with a closing date between January 1, 1985 and December 31, 2008. On average a medical malpractice claim costs more than $27,0...