arXiv subjects

Amir H. Darooneh

Publications and source records attributed to Amir H. Darooneh.

6 recordsLinked to original sources

arXiv2016

Spreading, Fingering Instability and Shrinking of a Hydrosoluble Surfactant on Water

We report an experimental investigation of spreading then shrinking of a surfactant droplet at the air-water interface with fingering instability appearing at the edge of the droplet stain. We find out that a droplet of a surfactant on the water shows three regimes of spreading, shrinking and resting at the appropriate parameters values. These regimes can be distinguished by measuring the mean square displacement of the droplet parts, fractal dimension of stain, or radius of fingerless part of the stain (to measure it, we define the angular box-counting dimension), versus time. The shrinking regime is a novel phenomenon.

physics.flu-dyn↗

arXiv2004

Non-Life Insurance Pricing : Statistical Mechanics Viewpoint

We consider the insurance company as a physical system which is immersed in its environment (the financial market). The insurer company interacts with the market by exchanging the money through the payments for loss claims and receiving the premium. Here in the equilibrium state we obtain the premium by using the canonical ensemble theory, and compare it with the {\it Esscher} principle, the actuaristic well known formula for premium calculation. We simulate the case of automobile insurance for quantitative comparison.

cond-mat.stat-mech↗

arXiv2004

Utility Function from Maximum Entropy Principle

We apply the maximum entropy principle to economic systems in equilibrium and find the density function for the market's wealth. This is the same as price density which is used for insurance pricing. The risk aversion parameter of the agent then it's utility function with respect to this density is derived.

cond-mat.stat-mech↗

arXiv2004

Non-Life Insurance Pricing: Multi Agents Model

We use the maximum entropy principle for pricing the non-life insurance and recover the Bühlmann results for the economic premium principle. The concept of economic equilibrium is revised in this respect.

cond-mat.stat-mech↗

arXiv2004

Premium Calculation Based on Physical Principles

We consider the concept of equilibrium in economic systems from statistical mechanics viewpoint. A new method is suggested for computing the premium on this basis. The Bühlmann economic premium principle is derived as a special case of our method.

cond-mat.stat-mech↗

arXiv2002

Premium Forecasting of an Insurance Company: Automobile Insurance

We present an analytical study of an insurance company. We model the company's performance on a statistical basis and evaluate the predicted annual income of the company in terms of insurance parameters namely the premium, total number of the insured, average loss claims etc. We restrict ourselves to a single insurance class the so-called automobile insurance. We show the existence a crossover premium p_c below which the company is loss-making. Above p_c, we also give detailed statistical analysis of the company's financial status and obtain the predicted profit along with the corresponding risk as well as ruin probability in terms of premium. Furthermore we obtain the optimal premium p_{opt} which maximizes the company's profit.

cond-mat.stat-mech↗