Introduction to Mathematical Statistics. By R.V. Hogg and A. T. Craig. Pp. ix, 245. 47s. 1959. (The Macmillan Company, New York)

Power Lindley distribution and associated inference

In this paper, we introduce a three{parameter generaliza- tion of the Lindley distribution. This includes as special cases the expo- nential and gamma distributions. The distribution exhibits decreasing, increasing and bathtub hazard rate depending on its parameters. We study various properties of the new distribution and provide numerical examples to show the ∞exibility of the model. We also derive a bivariate version of the proposed distribution.

Generalized Lindley Distribution

A new distribution is proposed for modeling lifetime data. It has better hazard rate properties than the gamma, lognormal and the Weibull distributions. A comprehensive account of the mathematical properties of the new distribution including estimation and simulation issues is presented. A real data example is discussed to illustrate its applicability.

https://www.jstor.org/stable/pdfplus/23885150.pdf

A generalized Lindley distribution

In this paper we introduce an extension of the Lindley distribution which offers a more flexible model for lifetime data. Several statistical properties of the distribution are explored, such as the density, (reversed) failure rate, (reversed) mean residual lifetime, moments, order statistics, Bonferroni and Lorenz curves. Estimation using the maximum likelihood and inference of a random sample from the distribution are investigated. A real data application illustrates the performance of the distribution.

M. E. Ghitany

Papers

Lindley distribution and its application

Zero-truncated Poisson-Lindley distribution and its application