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Collective Risk Theory for Assets

North American Actuarial Journal, 1997
his elaboration of choice of variables (measures of risk), his caveat about closeness of fit within the tail of the distribution, and in his observation that an activity's marginal effect on risk at the total enterprise level should be the primary risk concept worthy of study in the management decision process. We agree with Mr.
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Notes on collective risk theory

Scandinavian Actuarial Journal, 1957
Abstract A complete proof of existence of a probability measure m the space Ω of all sample functions was given by Cramer [4]. For a finitc period, a simplified proof was given in my paper [2]. The latter proof could be restricted to the space of sample functions having only a finite number of jumps, as the probability of an infinite number of jumps is
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Stable Lévy motion approximation in collective risk theory

Insurance: Mathematics and Economics, 1997
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Furrer, Hansjörg   +2 more
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Extension of the collective risk theory

Scandinavian Actuarial Journal, 1969
Abstract In its original form the collective risk theory is based upon the assumption that the r.v. Y(t), the total amount of claims up to the (operational) time t, is a generalized Poisson process and thus has a d.f. of the form a c.f. of the form where is the generalized c.f. of the claim distribution P(y).
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Practical applications of the collective risk theory

Scandinavian Actuarial Journal, 1969
Abstract According to Cramer, insurance institutions are menaced not only by the so-called commercial risk, as are all other institutions, but particularly by the technical or random risk. This latter risk is the characteristic of an insurance institution and directly results from the cover for loss granted by the institution against chance events.
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