The Break-By-One Gamma Distribution: A Proper and Tractable Alternative
  to the Schechter Function for Modeling Cosmic Populations
  The break-by-one gamma distribution has a probability density function
resembling the Schechter function, but with the small-argument behavior
modified so it is normalizable in commonly arising cases where the Schechter
function is not. Its connection to the gamma distribution makes it
straightforward to sample from. These properties make it useful for cosmic
demographics.
