๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the recovery of discrete probability densities from imperfect measurements

โœ Scribed by Luc P. Devroye; Gary L. Wise

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
879 KB
Volume
307
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

โœฆ Synopsis

The problem of the estimation of a discrete probability density from independent observations is considered. For a wide class of noises, a method is given for estimating a probability density when the measurements are corrupted by additive noise. This method is shown to be consistent, and several bounds on the error are given. An application to the detection of a (nonparametric) random signal is discussed. Finally, the estimation of a probability density is considered where the measurements are noisy and some of the measurements are incorrect. This situation may arise when a machine collecting the data fails part of the time.

๐Ÿ“œ SIMILAR VOLUMES

On calculating the potential energy as a
On calculating the potential energy as a function of position from the probability density of quantum statistical thermodynamics
โœ M.D. Kostin ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 142 KB

An explicit formula applicable to any temperature range is derived for calculating the potential ener\_gy as a function of position when the probabhty density of a quantum system is given as a function of position and temperature.