On the Estimation of Cost of Insurance Services

Abstract

The article is an attempt to establish estimates of the value of indicators of insurance services within the framework of the probabilistic model. Risks of the insurer, depending on probability of occurrence of insured events of different insurers on the insurance period, expected to be the same, insurance cases are considered independent from each other. The real income of the insurer is considered as a random variable, which is the amount of insurance premiums and uncertain in advance the expenses for the compensation of possible negative outcomes in the insurance period, and as expected income - interval estimate, determined by the width of the interval of revenue, its location and probability of income in this interval.