This paper considers a new risk model with a constant dividend barrier, which the claim amount affected by a threshold value. The hypothesis of the model is presented and the integro-differential equation for the Gerber-Shiu penalty function is given. Then the linear solution of...
Open access
Research Article10.9734/ajpas/2022/v19i330471
Random time changed Lévy Processes are getting increased attention of late as they can account for a variety of features in data. In this article we discuss \(\alpha\)-Laplace Lévy Process and a generalization of it. Both are random time changed \(\alpha\)-stable Lévy Processes....
Open access
Research Article10.9734/ajpas/2022/v19i330469
Central composite design (CCD) is the most commonly used fractional factorial design used in the response surface model. Kim [1] proposed second order rotatable designs (SORD) of second type using CCD, in which the positions of axial points are indicated by two numbers\(\left(a_{...
Open access
Research Article10.9734/ajpas/2022/v19i330468
In the context of the classical two-player gambler's ruin problem, the winning probabilities and initial stakes are pre-decided. If a player (who is in financial crisis) starts with less amount than his/her opponent in the symmetric game, has more chances to be ruined. Besides, a...
Open access
Research Article10.9734/ajpas/2022/v19i230467
In this article we obtain the first passage time distribution of α-stable Levy processes. We derive the moment estimators of the parameters of α-inverse Gaussian laws and also their asymptotic distribution.
Open access
Research Article10.9734/ajpas/2022/v19i230465
In this article, the Vector Auto-Regressive model and the Dynamic Error Correction Vector Model will be used in modeling data representing the number of deaths due to infection with the COVD-19 virus as a dependent variable and the variable platelet rate in the blood as an indepe...
Open access
Research Article10.9734/ajpas/2022/v19i230466
In this paper, we consider a new risk model of claim amount affected by a threshold value. The comparision between the claim interval and the threshold will affect the distribution of claims. The hypothesis of the model is presented and then we derive the roots of the Lundberg eq...
Open access
Research Article10.9734/ajpas/2022/v19i230462
Poisson distribution is one of the widely known distribution in the field of probability and statistics by statisticians. It has been widely applied in modeling of discrete observations including but not limited to the number of customers in a shop within a specified period, the...
Open access
Research Article10.9734/ajpas/2022/v19i230464
In this paper, a new technique of the alpha-power transformation (APT) is used to propose a new class of probability distribution which is particularly useful for analysis of lifetime data. For the illustrative purposes of the new proposal, a special sub-model of the proposed fam...
Open access
Research Article10.9734/ajpas/2022/v19i130463
Heart failure is one of the significant public health burdens in the world. According to WHO, 2 million people suer heart failure worldwide. In this study, we propose a bivariate stochastic model for heart failure disease progression and recovery process, which helps to understan...
Open access
Research Article10.9734/ajpas/2022/v19i130461