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Book Chapter

Maximum Entropy Distributions

  • Calin O
  • Udrişte C
Springer International Publishing, (2014), 165-187
DOI: 10.1007/978-3-319-07779-6_6
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Abstract

This chapter is dedicated to the study of entropy maximization under moment constraints. We present results of entropy maximization under constraints of mean, variance, or any N moments. The solution of these variational problems belongs to the exponential family. However, explicit solutions exist only in a few particular cases. A distinguished role is played by the study of the Maxwell–Boltzmann distribution.

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Calin, O., & Udrişte, C. (2014). Maximum Entropy Distributions. In Geometric Modeling in Probability and Statistics (pp. 165–187). Springer International Publishing. https://doi.org/10.1007/978-3-319-07779-6_6

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