Truncated Inverted Kumaraswamy: Estimation andPredication Based on Maximum Likelihood Method

Abstract

Truncation arises in many situations when failure of a unit is observed only if it fails before and/or after a certain period; since any unit, either industrial or biological cannot operate in the same condition forever. A random variable is said to be truncated if it is observed over part of its range where it can occur in various situations. For instance, in survival analysis, failures during the warranty period may not be counted. Items may also be replaced after certain time following the replacement policy, so that failures of the item are ignored.