K Muralidharan
The Maharajah Sayajirao University of Baroda
India
Title: Theory of inliers: Modeling and applications
Biography
Biography: K Muralidharan
Abstract
An inlier in a set of data is an observation or sub-set of observations not necessarily all zeroes, which appears to be inconsistent with the remaining data set. They are the resultant of instantaneous or early failures usually encountered in life testing and reliability, financial, management, clinical trials and many other studies. Unlike in outlier theory, here, inliers form a group of observations which are defined by the model itself. With the inclusion of inliers, the model will become either a non-standard distribution or one having more than two modes and hence usual method of statistical inference may not be appropriate to proceed with. We discuss some inliers prone models with some assumptions to study the estimation of inliers in exponential distribution. Various inlier prone models and estimation procedures are discussed. The detection of inliers and the problems associated with detections are presented. An illustration and a real life example are also discussed.