On the optimality of double barrier strategies for Lévy processes

K Noba - Stochastic Processes and their Applications, 2021 - Elsevier
This paper studies de Finetti's optimal dividend problem with capital injection. We confirm
the optimality of a double barrier strategy when the underlying risk model follows a Lévy …

[PDF][PDF] Two-sided jumps risk model with proportional investment and random observation periods

C Wang, J Xu, N Deng, S Wang - AIMS Math, 2023 - aimspress.com
In this paper, we consider a two-sided jumps risk model with proportional investments and
random observation periods. The downward jumps represent the claim while the upward …

The Erlang(n) risk model with two-sided jumps and a constant dividend barrier

L Zhang - Communications in Statistics-Theory and Methods, 2021 - Taylor & Francis
In this paper, the Erlang (n) risk model with two-sided jumps and a constant dividend barrier
is considered. In the analysis of the expected discounted penalty function, the downward …

Sequential maximum likelihood estimation for reflected generalized Ornstein–Uhlenbeck processes

L Bo, X Yang - Statistics & Probability Letters, 2012 - Elsevier
In this paper, we investigate a sequential maximum likelihood estimator of the unknown drift
parameter for a class of reflected generalized Ornstein–Uhlenbeck processes driven by …

First passage times of reflected generalized Ornstein–Uhlenbeck processes

L Bo, G Ren, Y Wang, X Yang - Stochastics and Dynamics, 2013 - World Scientific
We study first passage problems of a class of reflected generalized Ornstein–Uhlenbeck
processes without positive jumps. By establishing an extended Dynkin's formula associated …

International Reserve Management: A Drift‐Switching Reflected Jump‐Diffusion Model

N Cai, X Yang - Mathematical Finance, 2018 - Wiley Online Library
We study the cost of shocks, that is, jump risk, with respect to reserve management when the
reserve process is formulated as a drift‐switching jump diffusion with a reflecting barrier at 0 …

Bayesian estimation of asymmetric jump-diffusion processes

SJ Frame, CA Ramezani - Annals of Financial Economics, 2014 - World Scientific
The hypothesis that asset returns are normally distributed has been widely rejected. The
literature has shown that empirical asset returns are highly skewed and leptokurtic. The …

[PDF][PDF] Some ruin theory components of two sided jump problems under renewal risk process

JJ Rebello, KK Thampi - International Mathematical Forum, 2017 - m-hikari.com
In the insurance literature, the Lundberg-Cramer model and Sparre-Anderson model have
been discussed to a great extent. A general assumption is that the premium rate is constant …

The Expected Discounted Penalty Function in the Generalized Erlang (n) Risk Model with Two-Sided Jumps and a Constant Dividend Barrier

L Zhang - Bulletin of the Iranian Mathematical Society, 2021 - Springer
In this paper, the generalized Erlang (n) risk model with two-sided jumps and a constant
dividend barrier is considered. We assume that the downward jump sizes follow an arbitrary …

Numerical Method for a Risk Model with Two-Sided Jumps and Proportional Investment

J Xu, C Wang, N Deng, S Wang - Mathematics, 2023 - mdpi.com
In this paper, we consider a risk model with two-sided jumps and proportional investment.
The upward jumps and downward jumps represent gains and claims, respectively. Suppose …