Title: Computation of error bounds of order α with preferences

Authors: Hari Arora

Addresses: Department of Mathematics, Amity School of Engineering and Technology, Amity University, Sector-125, Super Expressway, Noida, Uttar Pradesh, India

Abstract: Bounds to error probability have been presented by various authors like Chu and Chueh (1966), TOUSSAINT (1978) and Hellman and Raviv (1970) in terms of Shannon entropy or its generalisations. The existing results depend only on probability distribution associated with the experiment. It does not take into account the effectiveness of the outcomes of the experiment. Large amount of work on probability of error has been done by Ben-Bassat and Raviv (1978) and Gupta and Arora (2005). This paper is a generalisation in which the concept of probability of error for Renyi|s entropy with preferences is presented.

Keywords: Fano|s inequality; error probability; weighted error bound; error bounds; Renyi|s entropy; preferences.

DOI: 10.1504/IJASS.2011.042207

International Journal of Applied Systemic Studies, 2011 Vol.4 No.1/2, pp.121 - 125

Received: 08 Feb 2010
Accepted: 28 Jul 2010

Published online: 31 Aug 2011 *

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