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Titlebook: Lectures on Insurance Models; S. Ramasubramanian Book 2009 Hindustan Book Agency (India) 2009

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楼主: ODE
发表于 2025-3-23 10:29:20 | 显示全部楼层
Poisson model,We first consider the claim number process {.(.) : . ≥ 0}. We assume that there is a basic probability space(Ω, ., .) on which . (., •) is a random variable for each . ≥ 0. We list below some of the obvious/desired properties of . (raither postulates for .), which may be taken into account in formulating a model for the claim number process.
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Claim size distributions,In principle, any distribution supported on [0, ∞) can be used to model claim size. However, in actuarial practice a clear distinction is made between “well behaved” distributions and “dangerous” distributions. As we shall see later there are very good reasons for this distinction.
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Ruin Problems, the health of the company. So problems centering around ruin probability have a prominent place in mathematical analysis of insurance models. We shall first consider some general results in the Sparre Andersen model; later we shall specialise to the case of the Cramér-Lundberg model.
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Book 2009stochastic processes. This introductory text on actuarial risk theory deals with the Cramer-Lundberg model and the renewal risk model. Their basic structure and properties, including the renewal theorems as well as the corresponding ruin problems, are studied. There is a detailed discussion of heavy
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Introduction, It is not uncommon that places of worship, palatial buildings and schools serve as refuges for the affected. However, there are also significant sections of the population who are willing to pay regular premium to suitable agencies during normal times to have insurance cover to tide over crises.
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