# Asymptotic distribution of mme of coefficient of variation

For random sample from unif(0,1) distribution, method of moments estimator for coefficient of variation is sample mean divided by sample standard deviation. Here, coefficient of variation theta is mu/sigma where mu is population mean and sigma is population standard deviation. Then, how to derive the asymptotic distribution of sqrt(n)*(theta.hat-theta)?

• The coefficient of variation is defined as the standard deviation over the mean (usually in absolute value terms), not vice versa. – Alecos Papadopoulos Oct 26 '20 at 20:51