A Note on the Misuse of the Variance Test in Meteorological Studies
Applications
2014-05-29 v1 Methodology
Abstract
The erroneous assumption "for all distributions for which the theoretical variance can be computed independently from parameters estimated by any method different from the method of moments" has been used in the case of fitting the gamma distribution to a rainfall data by Mooley (1973) which was followed by several researchers. We show that the asymptotic distribution of the test statistic is generally not even comparable to any central chi-square distribution. We also describe a method for checking the validity of the asymptotic distribution for a class of distributions.
Keywords
Cite
@article{arxiv.1405.7206,
title = {A Note on the Misuse of the Variance Test in Meteorological Studies},
author = {Arnab Hazra and Sourabh Bhattacharya and Sabyasachi Bhattacharya and Pabitra Banik},
journal= {arXiv preprint arXiv:1405.7206},
year = {2014}
}