Credibility theory is a branch of actuarial science devoted to quantify how unique a particular outcome will be when compared to an outcome deemed as typical. In this paper, we will examine the application of the principles of Bayesian Credibility Theory in rating and ranking movies by a premier...

This paper considers a renewal risk model with dividend barrier for which the claim inter-arrival time is Erlang(2) distributed. The purpose is to derive explicit expression for the barrier probability, that is, the probability of absorption by an upper barrier ‘b', before ruin occurs. To...

Greatest accuracy credibility theory is a model-based approach to the solution of the underlying credibility problem. The present study is undertaken to apply greatest accuracy credibility theory or Bühlmann modeling in movie ranking problem. Contrary to the popular and recent study of the...

In this paper, we have considered a classical risk model with dividend barrier, in which claim inter-occurrence times are exponentially distributed. Our aim is to obtain explicit expression for the barrier probability B(u, b), the upper barrier being assumed to be ‘b', before ruin occurs when...

The authors of this paper engage ruin theory as a mathematical basis for quantifying the financial risks in insurance industry. Considering a classical risk model with dividend barrier it is calibrated to obtain the maximum probability of ruin when the claim amount distribution is either...