The paper examines the problem of determining the distribution function for random summing of independent, identically distributed (i.i.d.) random variables. The aim of this paper is to develop a suitable approach to determine the total claim cost distribution. There are few applications in actuarial field when the insurance companies look for a given period total damage possible structure, according to each claim size and policies frequency function. We try various analytical methods and introduce two numerical approaches which can be used whenever the solution cannot be derived analytically. Examples are given to demonstrate that the numerical Laplace anti-transform procedure is reliable and provides precise approximations of results

The paper examines the problem of determining the distribution function for random summing of independent, identically distributed (i.i.d.) random variables. The aim of this paper is to develop a suitable approach to determine the total claim cost distribution. There are few applications in actuarial field when the insurance companies look for a given period total damage possible structure, according to each claim size and policies frequency function. We try various analytical methods and introduce two numerical approaches which can be used whenever the solution cannot be derived analytically. Examples are given to demonstrate that the numerical Laplace anti-transform procedure is reliable and provides precise approximations of results

Total Claim Cost Distribution: Analytical and Numerical Methods / Trudda, Alessandro. - In: PURE MATHEMATICS AND APPLICATIONS. - ISSN 1218-4586. - 18 n.1-2:(2007), pp. 161-176.

Total Claim Cost Distribution: Analytical and Numerical Methods

Abstract

The paper examines the problem of determining the distribution function for random summing of independent, identically distributed (i.i.d.) random variables. The aim of this paper is to develop a suitable approach to determine the total claim cost distribution. There are few applications in actuarial field when the insurance companies look for a given period total damage possible structure, according to each claim size and policies frequency function. We try various analytical methods and introduce two numerical approaches which can be used whenever the solution cannot be derived analytically. Examples are given to demonstrate that the numerical Laplace anti-transform procedure is reliable and provides precise approximations of results
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2007
The paper examines the problem of determining the distribution function for random summing of independent, identically distributed (i.i.d.) random variables. The aim of this paper is to develop a suitable approach to determine the total claim cost distribution. There are few applications in actuarial field when the insurance companies look for a given period total damage possible structure, according to each claim size and policies frequency function. We try various analytical methods and introduce two numerical approaches which can be used whenever the solution cannot be derived analytically. Examples are given to demonstrate that the numerical Laplace anti-transform procedure is reliable and provides precise approximations of results
Total Claim Cost Distribution: Analytical and Numerical Methods / Trudda, Alessandro. - In: PURE MATHEMATICS AND APPLICATIONS. - ISSN 1218-4586. - 18 n.1-2:(2007), pp. 161-176.
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11388/57534`
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