The Mean Difference for Lognormal Distribution - Applied Mathematics

AM > Vol.7 No.9, May 2016

Applied Mathematics

Volume 7, Issue 9 (May 2016)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

The Mean Difference for Lognormal Distribution ()

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Download as PDF (Size: 263KB) PP. 824-828

DOI: 10.4236/am.2016.79073 1,969 Downloads 3,453 Views Citations

Author(s)

Giovanni Girone, Fabio Manca

Affiliation(s)

University of Bari “Aldo Moro”, Bari, Italy.

ABSTRACT

The calculation of the mean difference for the lognormal distribution involves several hard integrals featuring the error function. In this paper, considering two particular cases of an integral of the exponential function for the complement to one of the error functions, and using various symmetries, we have achieved the result of an extremely simple and useful formula of the mean difference for the lognormal distribution.

KEYWORDS

Mean Difference, Function Lognormal

Share and Cite:

Girone, G. and Manca, F. (2016) The Mean Difference for Lognormal Distribution. Applied Mathematics, 7, 824-828. doi: 10.4236/am.2016.79073.

Cited by

[1]	Comparing Three Different Estimators of Reliability Function of Lognormal Distribution
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[2]	The relation between the mean difference and the mean deviation in 11 continuous distribution models
	Quality & Quantity, 2016

[3]	The relation between the mean difference and the standard deviation in continuous distribution models
	Quality & Quantity, 2016

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