Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2015
  • Volume: 7
  • Issue: 1

Upper bounds on the probability of error and weighted means divergence measures

  • Author:
  • R. P. Singh, Sapna Nagar
  • Total Page Count: 12
  • Page Number: 69 to 80

*Former Reader & Head, Dept. of Maths, Lajpat Rai (PG) College, Sahibabad, Ghaziabad-201005 (India) E-mail: drrpsingh2010@gmail.com

**Research Scholar, Department of Mathematics, Mewar University, Gangrar, Chittorgarh-312901 (Rajasthan) India E-mail: sapnanagar3@gmail.com

AMS classification: 26D15

Abstract

In the present communication, we have considered some weighted means such as weighted arithmetic, weighted harmonic, weighted geometric, weighted root- square means and mixed weighted means. The difference of these means has been considered as the divergence and the resulting divergence is convex function. Some upper bounds for the probability of error in terms of weighted means divergence measures have been proved exploring weighted f-divergence.

Keywords

Probability of error, weighted Arithmetic mean, weighted Geometric mean, weighted Harmonic mean, weighted root-square mean and weighted mixed mean, weighted f – Divergence