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Log-concavity of a Mixture of Beta Distributions

Probability 2013-12-10 v1 Statistics Theory Statistics Theory

Abstract

We show that a mixture of Beta distributions has log-concave density whenever the mixing weights are themselves log-concave. Some economic and statistical applications are provided in the last section.

Keywords

Cite

@article{arxiv.1312.2166,
  title  = {Log-concavity of a Mixture of Beta Distributions},
  author = {Xiaosheng Mu},
  journal= {arXiv preprint arXiv:1312.2166},
  year   = {2013}
}