# On the minimum mean p-th error in Gaussian noise channels and its applications

@article{Dytso2016OnTM, title={On the minimum mean p-th error in Gaussian noise channels and its applications}, author={Alex Dytso and R. Bustin and Daniela Tuninetti and N. Devroye and H. Poor and S. Shamai}, journal={2016 IEEE International Symposium on Information Theory (ISIT)}, year={2016}, pages={1646-1650} }

The problem of estimating an arbitrary random variable from its observation corrupted by additive white Gaussian noise, where the cost function is taken to be the minimum mean p-th error (MMPE), is considered. The classical minimum mean square error (MMSE) is a special case of the MMPE. Several bounds and properties of the MMPE are derived and discussed. As applications of the new MMPE bounds, this paper presents: (a) a new upper bound for the MMSE that complements the `single-crossing point… Expand

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