It is well known that Beta distribution provides the premier family of continuous distributions on bounded support, and there are many distributions based on Beta dis-tribution. In this paper, the lower and upper estimates with explicit coefficients for Beta distribution under a>1,b>1are given. Using variable substitution, we know that Beta distribution of second kind, F distribution and Student’s t distribution have close connection with Beta distribution. Furthermore, using these results, the lower and up-per estimates of Beta distribution of second kind and F distribution, partial estimates of Student’s t distribution are obtained. |