• STOCHASTIC ANALYSIS WITH SIMULATION OF TIME TO HOSPITALIZATION AND HOSPITALIZATION TIME FOR DIABETES WHEN TWO ORGANS FAIL WITH COXIAN-2 OBSERVATION TIME FOR PROPHYLACTIC TREATMENT

Abstract

This paper assumes one organ A of a diabetic person is exposed to organ failure due to a two phase risk process and another organ B has a random failure time. Prophylactic treatment starts after one or two observations following Coxian-2 distribution. In the model, the hospitalization for diabetes starts when both the organs A and B are in failed state or when the prophylactic treatment starts. The joint Laplace transform of the distribution of time to hospitalization for treatment and hospital treatment time are presented along with their expectations. The expected time to hospitalization for treatment and expected treatment time are obtained for numerical Studies. Simulation studies are under taken using linear congruential generators. EC distribution is considered for the general distribution of life time of organ B since it is the best approximation for a general distribution. Erlang and phase type distributions are considered for hospital stage treatment times. Random values of all the variables are generated to present simulated values of time to hospitalization and hospitalization times for various parameter values of Coxian time to prophylactic treatment.