“Bounds for Ruin Probabilities in the Presence of Large Claims and their Comparison”, Vladimir Kalashnikov,April, 1999

Abstract

Performance measurement systems and report cards which attempt to measure and report the quality of care provided by managed health-care organizations, have become mainstream in health insurance markets as managed care penetration continues to increase. However, little is known about the impact formal plan evaluations have on the contracting and enrollment decisions made by health insurance purchasers and consumers. Information regarding the link between performance evaluations and enrollment is crucial for those charged with projecting future enrollments in and risk profiles of managed care organizations. This paper describes the performance measurement systems currently being used to evaluate managed care plans and reviews the empirical literature for evidence regarding the impact of measures on plan enrollments.     

On the “Output” process of a state dependent queue

Abstract

It is well known that if in a queueing situation the arrivals occur in a Poisson stream with intensity λ, and probability differential of a service completion is μd t+o(dt), then in the steady state the successive epochs of service completion also occur in a Poisson stream with intensity λ, that of arrivals. Here, we shall show that this criteria could be proved in the more general case in which the probability differential of a service completion is directly proportional to the number of customers momentarily present in the system.