In this article, we propose a new class of distributions; namely, the double Lindley distribution (DLD) and investigate some of its important properties. We discuss the estimation of parameters of the location-scale extended class of DLD and illustrate the procedures with the help of certain real life data sets. A simulation study is carried out to examine the performance of estimators of the parameters of the distribution.
In this paper, we propose an alternative version to the Laplace distribution which we named as “alternative Laplace distribution (ALD)” and discuss some of its important properties. A location-scale extension of the ALD is considered and the maximum likelihood estimation procedures for estimating its parameters is described. Further, the distribution is fitted to certain real life data sets for illustrating the utility of the model. A simulation study is carried out to examine the performance of likelihood estimators of the parameters of the distribution.
In this paper, we introduce a generalization of the two-parameter double Lindley distribution (TPDLD) of Kumar and Jose
[C. S. Kumar and R. Jose,
A new generalization to Laplace distribution,
J. Math. Comput. 31 2020, 8–32],
namely the generalized double Lindley distribution (GDLD) along with its location-scale extension (EGDLD). Then we discuss the estimation of parameters of the EGDLD by the maximum likelihood estimation procedure. Next, we illustrate this estimation procedure with the help of certain real life data sets, and a simulation study is carried out to examine the performance of various estimators of the parameters of the distribution.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.