First passage problems for upwards skip-free random walks via the $\Phi,W,Z$ paradigm [PDF]
, 2018 We develop the theory of the $W$ and $Z$ scale functions for right-continuous (upwards skip-free) discrete-time discrete-space random walks, along the lines of the analogue theory for spectrally negative L\'evy processes.
Avram, Florin, Vidmar, Matija
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On the time to ruin for a dependent delayed capital injection risk model [PDF]
Applied Mathematics and Computation, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lewis Ramsden, Apostolos D. Papaioannou
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Cash Flow Optimization on Insurance: An Application of Fixed-Point Theory
Mathematics, 2023 The purpose of this paper is to explore a discrete-time cash flow optimization problem of the insurance company with time value of ruin under different interest rates.
Yangmin Zhong, Huaping Huang
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Ruin probabilities for a perturbed risk model with stochastic premiums and constant interest force
Journal of Inequalities and Applications, 2016 In this paper, we consider a perturbed compound Poisson risk model with stochastic premiums and constant interest force. We obtain the upper bound and Lundberg-Cramér approximation for the infinite-time ruin probability, and consider the asymptotic ...
Jianhua Cheng, Yanwei Gao, Dehui Wang
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On a Fractional Stochastic Risk Model with a Random Initial Surplus and a Multi-Layer Strategy
Mathematics, 2022 The paper deals with a fractional time-changed stochastic risk model, including stochastic premiums, dividends and also a stochastic initial surplus as a capital derived from a previous investment.
Enrica Pirozzi
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On the Optimal Dividend Problem for Insurance Risk Models with Surplus-Dependent Premiums [PDF]
, 2015 This paper concerns an optimal dividend distribution problem for an insurance company with surplus-dependent premium. In the absence of dividend payments, such a risk process is a particular case of so-called piecewise deterministic Markov processes. The
Marciniak, Ewa, Palmowski, Zbigniew
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The Effects of Largest Claim and Excess of Loss Reinsurance on a Company’s Ruin Time and Valuation
Risks, 2017 We compare two types of reinsurance: excess of loss (EOL) and largest claim reinsurance (LCR), each of which transfers the payment of part, or all, of one or more large claims from the primary insurance company (the cedant) to a reinsurer.
Yuguang Fan +4 more
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International Journal of Mathematics for Industry, 2023 This paper studies the Gerber–Shiu function for the insurance surplus process with additional investment under the Bachelier model. The Gerber–Shiu function allows us to study the moments of the time of ruin, which is the first time that the surplus is ...
Sutipon Punaluek, Yuri Imamura
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Martingales and the distribution of the time to ruin
Stochastic Processes and their Applications, 2003 The author considers the classical risk model, where claims arrive according to a renewal process, with waiting times that are of phase-type, while the claims themselves follow a distribution with a Laplace transform that is a rational function. Using martingales, the optional sampling theorem and the theory of piecewise Markov process, he determines ...
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Minimizing expected time to reach a given capital level before ruin
Journal of Industrial & Management Optimization, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang, Xiaoqing, Bai, Lihua
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