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[PDF] Top 20 Comparison of Ruin Probabilities in Compound Poisson Risk Model

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Comparison of Ruin Probabilities in Compound Poisson Risk Model

Comparison of Ruin Probabilities in Compound Poisson Risk Model

... Suppose that at time t = 0 , the insurer has an amount of money set aside for the portfolio. This amount of money is called the initial surplus and is denoted by u . We can further assume that throughout this work that u ... See full document

7

On the evaluation of finite-time ruin probabilities in a dependent risk model

On the evaluation of finite-time ruin probabilities in a dependent risk model

... explicit ruin probability formulas which appear in the papers by Ignatov and Kaishev (2000, 2004) and Ignatov et ...fair comparison of their numerical ...computing ruin probabilities in ... See full document

39

Dividend Payments with a Hybrid Strategy in the Compound Poisson Risk Model

Dividend Payments with a Hybrid Strategy in the Compound Poisson Risk Model

... dual risk model with phase-type gains under a hybrid dividend strategy and derived the explicit formula for the expected total discounted dividends until ruin and the Laplace transform of the time of ... See full document

18

Ruin Probability for Non-standard Poisson Risk Model with Stochastic Returns

Ruin Probability for Non-standard Poisson Risk Model with Stochastic Returns

... of compound Poisson model with constant interest force and without diffusion term, Tang ([16]) obtained the asymptotic formula of finite time ruin probability for sub-exponential ...renewal ... See full document

6

Infinite Time Exact Ruin Probabilities in a Stochastic Economic Environment

Infinite Time Exact Ruin Probabilities in a Stochastic Economic Environment

... the risk associated with a portfolio of business, it is often of interest to assess how the portfolio may be expected to perform over an extended period of ...of ruin theory introduced by Panjer and Willmot ... See full document

5

Absolute ruin problems in a compound Poisson risk model with constant dividend barrier and liquid reserves

Absolute ruin problems in a compound Poisson risk model with constant dividend barrier and liquid reserves

... In this paper, we consider a compound Poisson surplus model with constant dividend barrier and liquid reserves under absolute ruin. When the surplus is negative, the insurer is allowed to ... See full document

15

Study on multi type insurance compound Poisson geometric risk model

Study on multi type insurance compound Poisson geometric risk model

... the risk theory in the aspect of risk quantitative analysis and prediction plays an important role ...independent risk especially in some big risk will be very hard, so people chose to cast ... See full document

7

On finite-time ruin probabilities in a generalized dual risk model with dependence

On finite-time ruin probabilities in a generalized dual risk model with dependence

... as ruin. Generally ruin occurs when the company’s surplus process, R(t) becomes negative for the first time, within a finite or infinite time ...on ruin probability is vast. Ruin problems ... See full document

41

The ruin problem of dependent risk model based on copula function

The ruin problem of dependent risk model based on copula function

... modern risk management techniques play a central ...collective risk theory, which is studied through various models of the risk business of an insurance ...insurance risk model, we ... See full document

7

The Gerber-Shiu function in the perturbed compound Poisson Gamma Omega model with a dividend barrier

The Gerber-Shiu function in the perturbed compound Poisson Gamma Omega model with a dividend barrier

... In risk theory, a company goes out of business as soon as ruin occurs, that is, when the surplus is negative for the first ...Omega model was introduced for a Wiener process in Albrecher, Gerber and ... See full document

15

Ruin probabilities for a perturbed risk model with stochastic premiums and constant interest force

Ruin probabilities for a perturbed risk model with stochastic premiums and constant interest force

... of model with interest rate or investment return due to the practical im- ...pound Poisson risk model with a constant interest rate ...classical risk model with stochastic in- ... See full document

13

Gerber Shiu Function of Markov Modulated Delayed By Claim Type Risk Model with Random Incomes

Gerber Shiu Function of Markov Modulated Delayed By Claim Type Risk Model with Random Incomes

... a compound Poisson risk model with delayed claims and proved that the ruin probability for the risk model decreases as the probability of the delay of by-claims is ... See full document

14

Finite-time Ruin Probability of Renewal Model with Risky Investment and Subexponential Claims

Finite-time Ruin Probability of Renewal Model with Risky Investment and Subexponential Claims

... of compound Poisson model with constant interest force and without diffusion term, Tang (2005a) obtained the asymptotic formula of finite time ruin probability for sub- exponential ...newal ... See full document

5

Risk models with dependence and perturbation

Risk models with dependence and perturbation

... In ruin theory, the surplus process of an insurance company is usually modeled by the classical compound Poisson risk model and the Sparre-Andersen risk ...years, risk ... See full document

108

On a generalized Gerber Shiu function in a compound Poisson model perturbed by diffusion

On a generalized Gerber Shiu function in a compound Poisson model perturbed by diffusion

... claim costs until ruin, where θ(·) is the ’cost’ function of a given claim size. We remark that the expected total discounted claim costs have been studied by Cai et al. [] in the com- pound Poisson ... See full document

20

A Hyperexponential Approximation to Finite- and Infinite-time Ruin Probabilities of Compound Poisson Processes

A Hyperexponential Approximation to Finite- and Infinite-time Ruin Probabilities of Compound Poisson Processes

... the compound Poisson surplus process plays a vi- tal role in many actuarial models, several authors studies ruin probability under surplus process ...infinite-time ruin probability can be found ... See full document

7

Some Results on a Double Compound Poisson Geometric Risk Model with Interference

Some Results on a Double Compound Poisson Geometric Risk Model with Interference

... double compound Poisson-Geometric risk model with diffussion in which the arrival of policies and claims follows compound Poisson-Geometric process, respec- ...equation, ... See full document

5

A Mixture-Exponential Approximation to Finite- and Infinite-time Ruin Probabilities of Compound Poisson Processes

A Mixture-Exponential Approximation to Finite- and Infinite-time Ruin Probabilities of Compound Poisson Processes

... the compound Poisson surplus process plays a vital role in many actuarial models, several authors studies ruin probability under surplus process ...infinite-time ruin probability can be found ... See full document

6

Bounds of Ruin Probabilities for Insurance Companies in the Presence of Stochastic
            Volatility on Investments⋆⋆⋆

Bounds of Ruin Probabilities for Insurance Companies in the Presence of Stochastic Volatility on Investments⋆⋆⋆

... a model of an insurance company where the insurer has to face a claims process which follows a Compound Poisson process with finite exponential ...the ruin probabilities, that recover ... See full document

15

Predicting Joint Return Period Under Ocean Extremes Based on a Maximum Entropy Compound Distribution Model

Predicting Joint Return Period Under Ocean Extremes Based on a Maximum Entropy Compound Distribution Model

... present model are close to those predicted by the Poisson-Mixed-Gumbel model, while for Chaoliandao sea area, the water-level values predicted by Poisson-Mixed-Gumbel model are so high ... See full document

10

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