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Stats 2018, 1(1), 92-97; https://doi.org/10.3390/stats1010007

Smooth Tests of Fit for the Lindley Distribution

1
School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia
2
National Institute for Applied Statistics Research Australia, University of Wollongong, Wollongong, NSW 2522, Australia
*
Author to whom correspondence should be addressed.
Received: 14 June 2018 / Revised: 13 July 2018 / Accepted: 13 July 2018 / Published: 22 July 2018
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Abstract

We consider the little-known one parameter Lindley distribution. This distribution may be of interest as it appears to be more flexible than the exponential distribution, the Lindley fitting more data than the exponential. We give smooth tests of fit for this distribution. The smooth test for the Lindley has power comparable with the Anderson-Darling test. Advantages of the smooth test are discussed. Examples that illustrate the flexibility of this distributions is given. View Full-Text
Keywords: goodness of fit; orthonormal polynomials; operational lifetime data; powers; waiting time data goodness of fit; orthonormal polynomials; operational lifetime data; powers; waiting time data
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Best, D.J.; Rayner, J.C.W. Smooth Tests of Fit for the Lindley Distribution. Stats 2018, 1, 92-97.

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