Merging Exchangeable Occupancy Distributions: The Family 𝓜 ( a ) $\mathcal {M}^{(a)}$ and its Connection with the Maximum Entropy Principle

Abstract

In this paper a new transformation of occupancy distributions, called merging, is introduced. In particular, it will be studied the effect of merging on a class of occupancy distributions that was recently introduced in Collet et al. (Probab Eng Inf Sci. 27:533-552 2013). These results have an interesting interpretation in the so-called entropy maximization inference. The last part of the paper is devoted to highlight the impact of our findings in this research area.