Smooth Tests of Fit for the Lindley Distribution

D. J. Best and J. C. W. Rayner
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D. J. Best: School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia
J. C. W. Rayner: School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia

Stats, 2018, vol. 1, issue 1, 1-6

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.

Keywords: goodness of fit; orthonormal polynomials; operational lifetime data; powers; waiting time data (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2018
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