Proceedings of Business and Social Sciences Research Conference
10 - 11 December 2015, Ambassador Hotel, Bangkok, Thailand, ISBN: 978-1-922069-90-0
Truncated Probabilities, Generalized Fermi-Dirac Entropy,
Truncated Statistical Distributions, and Some Applications
C. R. Bector, S. S. Appadoo and G. S. Sohi
A generalized format of Fermi-Dirac entropy with truncated probabilities is introduced. A
formula for obtaining truncated probabilities is derived and their applications in some well
known statistical distributions are suggested. Furthermore, a simple application of the
truncated probabilities in an investment problem is also suggested. Towards the end, an
extension of the results, obtained in this paper, is suggested under fuzzy environment. It
is expected that the results derived in this paper will also find applications in a variety of
other areas in management.
Main References
[1]. Kapur, J. N., Maximum Entropy Models in Science and Engineering, Wiley Eastern
Ltd. New Delhi, India 1989.
[2]. Kapur, J. N., Entropy and Coding, Mathematical Sciences Trust Society, New Delhi
1998.
[3] Shannon, C. E., “A mathematical Theory of Communication”, Bell System Tech.
Journal, 1948.
[4]. Shannon C. E. and Weaver W., the Mathematical Theory Communication, Univ. of
Illinois Press, Urbana, Illinois, U.S.A.
[5]. Smimou, K, Bector, C. R. and Gady Jacoby, “Portfolio Selection Subject to Vague
Experts’ Judgement” Int. Review of Financial Analysis, Vol. 17, No. 5, 2008.
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C. R. Bector, S. S. Appadoo Faculty of Management, University of Manitoba, Winnipeg, Manitoba R3T
5V4, Canada, Email: gribapap@gmail.com
G. S. Sohi, HCL Technologies, Software Tower 4, Plot 3A, SEZ, Sec 126, Noida (UP), India 201303