Beta distribution

• How to Find the Expected Value of an Exponential Function
  Find E[e^X] by integrating against X's distribution. For beta and gamma random variables, standard formulas give the result and its conditions.
• What Is a Sufficient Statistic for the Beta Distribution?
  For an iid Beta(alpha, beta) sample with both shape parameters unknown, the minimal sufficient statistic is the pair of sums of log observations and log complements.