Share This Article:

New Measures of Skewness of a Probability Distribution

Full-Text HTML XML Download Download as PDF (Size:8603KB) PP. 601-621
DOI: 10.4236/ojs.2019.95039    196 Downloads   495 Views

ABSTRACT

Symmetry of the underlying probability density plays an important role in statistical inference, since the sampling distribution of the sample mean for a given sample size is more likely to be approximately normal for a symmetric distribution than for an asymmetric one. In this article, two new measures of skewness are proposed and the confidence intervals for true skewness are obtained via Monte Carlo simulation experiments. One advantage of the two proposed skewness measures over the standard measures of skewness is that the proposed measures of skewness take values inside the range (-1, +1).

Cite this paper

Singh, A. , Gewali, L. and Khatiwada, J. (2019) New Measures of Skewness of a Probability Distribution. Open Journal of Statistics, 9, 601-621. doi: 10.4236/ojs.2019.95039.

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.