Lindley distribution and its application

Authors:
M. E. Ghitany;B. Atieh;S. Nadarajah
Affiliations:
Department of Statistics and Operations Research, Faculty of Science, Kuwait University, Safat 13060, Kuwait;Department of Statistics and Operations Research, Faculty of Science, Kuwait University, Safat 13060, Kuwait;School of Mathematics, University of Manchester, Manchester M60 1QD, UK
Venue:
Mathematics and Computers in Simulation
Year:
2008

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Abstract

A treatment of the mathematical properties is provided for the Lindley distribution. The properties studied include: moments, cumulants, characteristic function, failure rate function, mean residual life function, mean deviations, Lorenz curve, stochastic ordering, entropies, asymptotic distribution of the extreme order statistics, distributions of sums, products and ratios, maximum likelihood estimation and simulation schemes. An application to waiting time data at a bank is described.