Volume no :16, Issue no: 1, September (2016)

A NEW LOG-NORMAL DISTRIBUTION

Author's: Tianhao Wu
Pages: [93] - [104]
Received Date: August 15, 2016; Revised September 7, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100121705

Abstract

Log-normal distribution is ubiquitous in natural and social science by its simple form and high relation to normal distribution. However, oftentimes log-normal realizations can be dependent, so the application of n-dimensional log-normal is important and useful. In this paper, we develop a new form of log-normal distribution, whose marginals are proved to be independent of the power parameter In addition, this new distribution has special properties such as zero lower tail dependence and equidistribution which can be founded insightful for future research.

Keywords

log-normal, n-dimension, copula, dependence.