Kendall's [tau] is equal to the correlation coefficient for the BVE distribution
Michael D. deB. Edwardes
Statistics & Probability Letters, 1993, vol. 17, issue 5, 415-419
Abstract:
For the BVE (BiVariate Exponential) distribution, defined and explained by Marshall and Olkin (1967), the population Kendall's [tau] (1948), which is the probability of concordance minus the probability of discordance for a bivariate distribution, is shown to be equal to the population correlation coefficient. Moreover, Kendall's t statistic is superior to Pearson's r for estimating the BVE correlation. Some other bivariate distributions, due to Gumbel, Morgenstern and Freund, are also considered.
Keywords: Bivariate; BVE; concordance; correlation; coefficient; exponential; measures; of; association (search for similar items in EconPapers)
Date: 1993
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