Reference : Concavity of entropy along binomial convolution |

Scientific journals : Article | |||

Physical, chemical, mathematical & earth Sciences : Mathematics | |||

http://hdl.handle.net/10993/13576 | |||

Concavity of entropy along binomial convolution | |

English | |

Hillion, Erwan [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] | |

12-Jan-2012 | |

Electronic communications in probability | |

17 | |

1-9 | |

Yes | |

International | |

[en] Motivated by a generalization of Sturm-Lott-Villani theory to discrete spaces and
by a conjecture stated by Shepp and Olkin about the entropy of sums of Bernoulli random variables, we prove the concavity in t of the entropy of the convolution of a probability measure a, which has the law of a sum of independent Bernoulli variables, by the binomial measure of parameters n and t. | |

http://hdl.handle.net/10993/13576 |

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