Some Characterization Results by Conditional Expectations and their Applications to Lindley-type Distributions

Abstract

This paper deals with some characterization results based on truncated expectations in the continuous as well as in the discrete case. Both the right and left truncations are considered and some general results are derived. Some of the known results dealing with truncated moments, residual moments and residual partial moments are obtained as special cases. These results are utilized to obtain certain characterization results for the Lindley type distributions. The characterization results provide new methods for estimating the unknown parameter of Lindley-type distributions and their goodness-of-fit. The results on the Lindley-type distributions are applied on some real data sets.