On the asymptotic behavior of maxima and near-maxima of random observations from three parameter lognormal distribution

Vasantha Kumari, J. and Vasudeva, R. and Ravi, S. (2017) On the asymptotic behavior of maxima and near-maxima of random observations from three parameter lognormal distribution. Communications in Statistics - Theory and Methods, 46 (17). pp. 8737-8747. ISSN 1532-415X

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Abstract

In this article, we show that linearly normalized partial maxima of random observations from a three-parameter lognormal distribution converges weakly to a Gumbel distribution and establish a strong convergence theorem. We also discuss the asymptotic behavior of the number of near-maxima and sum of near-maxima random variables.

Item Type:	Article
Uncontrolled Keywords:	Three-parameter lognormal distribution, Gumbel distribution, Partial maxima, Near-maxima, Sum of near-maxima, Strong convergence.
Subjects:	E Mathematical Science > Statistics
Divisions:	Department of > Statistics
Depositing User:	C Swapna Library Assistant
Date Deposited:	18 Jun 2019 06:10
Last Modified:	18 Jun 2019 06:10
URI:	http://eprints.uni-mysore.ac.in/id/eprint/3300

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