Two Parametric New Generalized Average Code-word Length and its Bounds in Terms of New Generalized Inaccuracy Measure and Their Characterization.

Ashiq Hussain Bhat; Mohd Javid Dar; MAK Baig

Author(s)

Ashiq Hussain Bhat Post Graduate Department of Statistics, University of Kashmir, Srinagar, India

Mohd Javid Dar Post Graduate Department of Statistics, University of Kashmir, Srinagar, India

MAK Baig Post Graduate Department of Statistics, University of Kashmir, Srinagar, India

Abstract

In this research article we develop a new two parametric new generalized inaccuracy measure ( ) and a new two parametric generalized average code-word length ( ). These measures are the generalizations of some familiar measures existing in the subjects of information and coding theory. Also we develop the noiseless coding theorems for discrete noiseless channel. (i.e., we find the lower and upper bounds of ( ) in terms of ( )). The mathematical results obtained in this research article are verified by using empirical data. Also the monotonic behavior of ( ) and ( ) with respect to parameters and have been discussed.

Publication Details

Page(s) 147-162

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 34, Issue: 2, Year: 2018

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Keywords

Holder’s inequality, Shannon’s entropy, Mean code-word length, Shannon-Fano codes, Noiseless coding theorem., Kraft’s inequality, Kerridge’s inaccuracy measure, Huffman codes

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