Abstract
Mr. R. K. Zeigler has found some interesting results about the asymptotic distribution of the sample mean and the sample median. In this paper I deal with the simultaneous characteristic function of the product of the two random variables. Let the probabity density function, the mean, standard deviation and the median of the distribution be denoted by f(x), m, σ and θ respectively. Let the mean deviation from the sample median be denoted by M and put [numerical formula], [numerical formula], where [numerical formula]. The characteristic function ψ(t) of the simultaneous distribution of u and υ will be shown as follows; [numerical formula], where 0(t)→0,n→∞
