Two Parametric New Generalized Average Code-word Length and its Bounds in Terms of New Generalized Inaccuracy Measure and Their Characterization. | [Pakistan Journal of Statistics • 2018]

Author(s):

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

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

3. 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.

Page(s): 147-162

DOI: DOI not available

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

Keywords:

Holders inequality , Shannons entropy , Mean codeword length , ShannonFano codes , Noiseless coding theorem , Krafts inequality , Kerridges inaccuracy measure , Huffman codes

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