Discrete lognormal distributions with application to insurance data

Jiahang Lyu () and Saralees Nadarajah ()
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Jiahang Lyu: University of Manchester
Saralees Nadarajah: University of Manchester

International Journal of System Assurance Engineering and Management, 2022, vol. 13, issue 3, No 19, 1268-1282

Abstract: Abstract The continuous lognormal distribution has been used to model discrete count data, which is clearly not appropriate. In this paper, we introduce two discrete versions of the continuous lognormal distribution. We study their mathematical properties and estimation issues. Two real data applications show superior performance of the discrete versions over the continuous counter parts.

Keywords: Maximum likelihood; Moments; Simulation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13198-021-01443-x

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