On estimation of the correlation coefficient in Moran-Downton multivariate exponential distribution
In this paper, we study the properties of some estimators of the correlation coefficient in the Moran-Downton multivariate exponential distribution. Based on the estimators suggested by Al-Saadi and Young (1980) and Balakrishnan and Ng (2001) for the correlation coefficient in Moran-Downton bivariate exponential distribution, we propose some pooled estimators in the multivariate case (p-dimensional). The maximum likelihood estimators as well as their asymptotic properties are also studied here. Monte Carlo simulation is used to compare the performance of all the estimators. The bias and mean square errors of the estimators are presented for p = 3, 4.
correlation coefficient multivariate exponential distribution pooled estimator maximum likelihood estimator bias and mean square error fisher information monte carlo method