How log-concavity fought lottery frauds in Florida and what it did after winning

Докладчик: Дмитри Карп
Дата: 14.11.2023 г.
Час: 14:00 ч.
Място: Зала 503 на ИМИ-БАН

Резюме: In the talk I will first discuss the log-concavity in parameters of the normalized beta function (which represents the cumulative distribution function of beta distributed random variable) that has been used recently in an investigation of lottery frauds in Florida.  I will then present some related  properties of incomplete beta function and proceed to general log-concavity problems and their particular cases motivated by various problems in statistics, probability and analysis.

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