Recently it has been observed that the generalized exponential distribution can be used quite effectively to analyze lifetime data in one dimension. The main aim of this paper is to define a bivariate generalized exponential distribution so that the marginals have generalized exponential...

Let the random variable X be uniformly distributed on [0,1], [alpha] be a positive number, [alpha][not equal to]1, and b be a positive integer, b1. We derive the joint distribution of Y1,Y2,...,Yk, the first k significant digits in the radix expansion in base b of Y=X1/[alpha]. We show that, as...

Let X1, ..., Xn be real, symmetric, mxm random matrices; denote by Im the mxm identity matrix; and let a1, ..., an be fixed real numbers such that aj(m-1)/2, j=1, ..., n. Motivated by the results of J. G. Mauldon (Ann. Math. Statist.30 (1959), 509-520) for the classical...

Using our previous results we extend to the case of polynomial regression a recent characterization, obtained by Rao and Sinha, of the Dirichlet distributions. We also show that the class of distributions considered by Rao and Sinha possess many properties previously established by the authors...