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The distribution of the first j digits of beta related random variables
Authors:V R R Uppuluri  S A Patil
Institution:1. Oak Ridge National Laboratory;2. Tennessee Technological University
Abstract:This paper gives the discrete distribution of the first j significant digits of two random variables: (1) a beta variable with integer parameter n and the other parameter m > 0, and (2) the reciprocal of (1). As a special case for n=1, we obtain the distribution of the first j significant digits of the pwoers of uniformly distributed random variables. These generalize the results of Kennard and Reith (1981) and Friedberg (1984), who considered only uniformly distributed random variables.
Keywords:First j significant digits  beta random variables  reciprocals of beta random variables
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