- citati u SCIndeksu: 0
- citati u CrossRef-u:0
- citati u Google Scholaru:[]
- posete u poslednjih 30 dana:10
- preuzimanja u poslednjih 30 dana:9
|
|
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-adresa: pnathmaths@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
|
1
|
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
|
9
|
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
|
16
|
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
|
|
|
|