Low, Mark G2023-05-232023-05-232010-01-012016-08-13https://repository.upenn.edu/handle/20.500.14332/47562The information inequality has been shown to be an effective tool for providing lower bounds for the minimax risk. Bounds based on the chi-square distance can sometimes offer a considerable improvement especially when applied iteratively. This paper compares these two methods in four examples including the bounded normal mean problem as well as obervations from a Poisson distribution.minimax lower boundinformation inequalitybounded normal meanChi-square distanceMathematicsOther Physical Sciences and MathematicsStatistics and ProbabilityArticle