Some New Series of Inequalities Premised on Verma Measures of Information
Rohit Kumar Verma *
Department of Mathematics, Bharti Vishwavidyalaya, Durg, C.G., India.
*Author to whom correspondence should be addressed.
Abstract
There are many information measures existing in the literature of information theory. Most of them are Shannon, Burg, Renyi, Havrda-Charvat, Tsallis etc. A dozen methods of obtaining inequalities by using the properties of measures of information and directed-divergence [1,2] are given. Verma [3,4] information measures has attracted attention for a new class of inequalities during the tenure of investigation. The purpose of this communication is that to extrapolate novel inequalities associated with Verma information measures and different statistical distributions.
Keywords: Inequality, measures of information, beta distribution, binomial distribution, truncated binomial distribution, truncated normal distribution, geometric distribution, exponential distribution