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2015, vol. 39, br. 2, str. 141-148
On a functional equation arising in statistics
(naslov ne postoji na srpskom)
aDepartment of Mathematics, University of Delhi, Delhi, India
bDepartment of Mathematics, Zakir Husain Delhi College (University of Delhi), Jawaharlal Nehru Marg, Delhi, India

e-adresapnathmaths@gmail.com, dhiraj426@rediffmail.com
Ključne reči: moments of a discrete random variable; additive mapping; logarithmic mapping; multiplicative mapping
Sažetak
(ne postoji na srpskom)
The general solutions of a functional equation, derived from the first and second order moments of a finite discrete random variable, have been obtained.
Reference
Aczel, J. (1966) Lectures on functional equations and their applications. New York: Academic Press
Baker, J.A. (1994) A functional equation from probability theory. Proceedings of the American Mathematical Society, 121(3): 767-767
Balasubrahmanyan, R., Lau, K. (1991) Background Material. Functional Equations in Probability Theory, : 1-22
Gangolli, R.A., Ylvisaker, D. (1967) Discrete probability. New York: Harcourt, Brace & World, Inc
Havrda, J., Charvat, F. (1967) Quantification method of classification process, concept of structural-entropy. Kybernetika (Prague), 3(1), 30-35
Laha, R.G., Lukacs, E. (1977) On a functional equation which occurs in a characterization problem. Aequationes Mathematicae, 15(2-3): 313-314
Miller, J.N., Miller, J.C. (2004) Statistics and chemometrics for analytical chemistry. London: Prentice Hall
Nath, P., Singh, D.K. (2009) On a sum form functional equation related to entropies and some moments of a discrete random variable. Demonstratio Math., 42(1), 83-96
Rao, C.R. (1982) Gini-Simpson index of diversity: A characterization, generalization and applications. Util. Math., 273-282; 21
Shannon, C.E. (1948) A mathematical theory of communication. Bell Syst. Tech. J., vol. 27, str. 379-423, 623-656
Tan, P. (1972) Functional Equations in Mathematical Statistics. Mathematics Magazine, 45(4): 179
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/KgJMath1502141N
objavljen u SCIndeksu: 11.02.2016.

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