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INTERNATIONAL JOURNAL OF CREATIVE RESEARCH THOUGHTS - IJCRT (IJCRT.ORG)
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ISSN Approved Journal No: 2320-2882 | Impact factor: 7.97 | ESTD Year: 2013
Call For Paper - Volume 12 | Issue 7 | Month- July 2024
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Published Paper Details:
Paper Title
ORDER STATISTICS FROM A CLASS OF SYMMETRIC DISTRIBUTIONS WITH KURTOSIS THREE
Authors
Dr. James Kurian
Keywords
Edgeworth expansions, Hermite Polynomial, Kurtosis, Location Scale family, Order statistics, Robustness
Abstract
In this paper, I consider the class of continuous distributions, belonging to the symmetric location-scale family {F[(x-?)/?],-?<?< ?,?>0}, with Pearson's measure of kurtosis ?_2=3. The study uses a subclass of symmetric mesokurtic distributions based on the Edgeworth expansions to the probability density function (p.d.f.) based on the first six moments. This paper derives the distributions of order statistics from such a family of distributions. Moreover, based on a sample of size n, the distribution of minimum, maximum and the form of their moments are also derived. The class of distributions considered here can be used as an alternative to the normal error in linear models and robustness studies
IJCRT's Publication Details
Unique Identification Number - IJCRT2101037
Paper ID - 201967
Page Number(s) - 281-285
Pubished in - Volume 9 | Issue 1 | January 2021
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Publisher Name - IJCRT | www.ijcrt.org | ISSN : 2320-2882
E-ISSN Number - 2320-2882
Cite this article
Dr. James Kurian, "ORDER STATISTICS FROM A CLASS OF SYMMETRIC DISTRIBUTIONS WITH KURTOSIS THREE", International Journal of Creative Research Thoughts (IJCRT), ISSN:2320-2882, Volume.9, Issue 1, pp.281-285, January 2021, Available at :http://www.ijcrt.org/papers/IJCRT2101037.pdf
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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