Stochastic Analysis of Vital Organs Failure and Treatment with AkashSanker Distribution

Abstract

This paper assumes that a diabetic person has two defective vital organs kidney and heart. In this research paper we study 4 models in which the patient gets Kidney and Heart ailments. In these models, he is sent for hospital treatment at time T for a Kidney ailment or for a Heart ailment or for preventive purpose (Prophylactic treatment) whichever occurs first. His treatment time is denoted by R which may be either for Kidney or Heart or for preventive purpose as per the requirement. The joint probability distribution of T and R , its pdf and the Laplace transform of the pdf are derived. The expected time E(T) of T , the time to send for hospital treatment and the expected time E(R) of R , the duration of treatment time in the hospital are obtained. Variances of T and R are also derived.