Some Inferential Studies on Inliers in Gompertz Distribution

This paper deals with the inferential studies of inliers in Gompertz distribution. The inliers are inconsistent observations, which are generally the resultant of instantaneous and early failures. These situations are generally modeled using a non-standard mixture of distributions with a failure time distribution (FTD) for positive observations. Considering FTD as Gompertz distribution, we have studied various methods of estimating parameters including the uniformly minimum variance unbiased estimate of some parametric functions. An application of inliers prone models is illustrated with a real data set. © 2016, The Indian Society for Probability and Statistics (ISPS).