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pro vyhledávání: '"D. N. Shanbhag"'
Publikováno v:
International Journal of Current Research and Academic Review. 4:193-199
Publikováno v:
Mathematische Nachrichten. 279:571-580
In this paper, characterizations of continuous and discrete stable laws are given using Deny's Theorem. These results are obtained using infinite divisibility property of the characteristic function, and the ensueing functional equations are solved u
Autor:
D. N. Shanbhag, C. R. Rao
Publikováno v:
Communications in Statistics - Theory and Methods. 33:2873-2884
Characterizations of stable laws are given using a certain number theoretic result in Hardy [Hardy, G. H. (1967). A First Course of Pure Mathematics. Cambridge: Cambridge University Press], in conjunction with Deny's theorem [Deny, J. (1966). Sur l'e
Publikováno v:
Journal of Statistical Planning and Inference. 93:29-50
In the present paper, we unify and extend various characterizations of exponential and geometric distributions, such as those based on order statistics, record values and the strong memoryless property to arrive at characterization results for the ge
Publikováno v:
Journal of Statistical Planning and Inference. 74:205-214
The Chernoff–Borovkov–Utev inequality resulted owing to earlier inequalities established by Chernoff (1981) and Borovkov and Utev (1983) , respectively, giving bounds for the variance of functions of normal r.v.’s and leading to characterizatio
Autor:
D. N. Shanbhag, E.B. Fosam
Publikováno v:
Journal of Statistical Planning and Inference. 63:173-186
This note gives an extended version of the Laha-Lukacs characterization result based on a regression property, subsuming the Letac-Mora characterization of the natural exponential families of distributions with variances as cubic functions of means.
Autor:
E. B. Fosam, D. N. Shanbhag
Publikováno v:
Journal of Applied Probability. 34:101-106
A characterization of the exponential distribution based on a relevation-type equation and its discrete version are extended to the case of multidimensional spaces via variants of the Choquet-Deny theorem. Comments on some recent results in the liter
Autor:
D. N. Shanbhag, Abdulghani A. Alharbi
Publikováno v:
Journal of Statistical Planning and Inference. 55:139-150
In this short communication, we extend characterization theorems for distributions based on versions of the Chernoff inequality to the case where the distributions are not necessarily purely discrete or absolutely continuous (in the usual sense) and
Autor:
C. R. Rao, D. N. Shanbhag
Publikováno v:
Proceedings of the American Mathematical Society. 124:299-302
It is shown that the extended version of the Puri-Rubin result given recently by Stadje (1994) is neither new nor the most general available in the literature.
Publikováno v:
Electron. J. Probab. 16 (2011), 2359-2374
Scopus-Elsevier
Scopus-Elsevier
Using an approach based, amongst other things, on Proposition 1 of Kaluza (1928), Goldie (1967) and, using a different approach based especially on zeros of polynomials, Steutel (1967) have proved that each nondegenerate distribution function (d.f.)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a0450ac93a6addf16d2662a6c21b703
http://arxiv.org/abs/1109.5600
http://arxiv.org/abs/1109.5600