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Volumn 2, Issue , 2008, Pages 1300-1308

Distributions that are both log-symmetric and R-symmetric

Author keywords

Double symmetry; Lognormal distribution; Moment equivalence; Weighted distribution

Indexed keywords


EID: 85008831850     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/08-EJS301     Document Type: Article
Times cited : (7)

References (13)
  • 1
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    • Orthogonal polynomials and theta functions. In Theta Functions-Bowdoin 1987
    • R.C. Gunning & L. Ehrenpreis), American Mathematical Society
    • Askey, R. (1989). Orthogonal polynomials and theta functions. In Theta Functions-Bowdoin 1987, Proceedings of Symposia in Pure Mathematics 49 (eds: R.C. Gunning & L. Ehrenpreis), pp. 299-321; American Mathematical Society.
    • (1989) Proceedings of Symposia in Pure Mathematics , pp. 299-321
    • Askey, R.1
  • 2
    • 0001782898 scopus 로고    scopus 로고
    • From discrete to absolutely continuous solutions of indeterminate moment problems
    • Berg, C. (1998). From discrete to absolutely continuous solutions of indeterminate moment problems. Arab J. Math. Sci. 4 1-18.
    • (1998) Arab J. Math. Sci , vol.4 , pp. 1-18
    • Berg, C.1
  • 3
    • 0039918596 scopus 로고
    • Theta Functions; From the Classical to the Modern (ed: M.R. Murty), American Mathematical Society
    • Berndt, B.C. (1993). Ramanujan’s theory of theta-functions. In Theta Functions; From the Classical to the Modern (ed: M.R. Murty), pp. 1-64; American Mathematical Society.
    • (1993) Ramanujan’s Theory of Theta-Functions , pp. 1-64
    • Berndt, B.C.1
  • 4
    • 0000237092 scopus 로고
    • On a property of the lognormal distribution
    • Heyde, C.C. (1963). On a property of the lognormal distribution. J. Roy. Statist. Soc. Ser. B 29 392-393.
    • (1963) J. Roy. Statist. Soc. Ser. B , vol.29 , pp. 392-393
    • Heyde, C.C.1
  • 7
    • 34447523267 scopus 로고    scopus 로고
    • IG-symmetry and R-symmetry: Interrelations and applications to the inverse Gaussian theory
    • Mudholkar, G.S. And Wang, H. (2007). IG-symmetry and R-symmetry: interrelations and applications to the inverse Gaussian theory. J. Statist. Planning Inference 137 3655-3671.
    • (2007) J. Statist. Planning Inference , vol.137 , pp. 3655-3671
    • Mudholkar, G.S.1    Wang, H.2
  • 8
    • 0030080253 scopus 로고    scopus 로고
    • Length biasing and laws equivalent to the log-normal
    • Pakes, A.G. (1996). Length biasing and laws equivalent to the log-normal. J. Math. Anal. Applic. 197 825-854.
    • (1996) J. Math. Anal. Applic , vol.197 , pp. 825-854
    • Pakes, A.G.1
  • 9
    • 33750614189 scopus 로고    scopus 로고
    • Structure of Stieltjes classes of moment-equivalent probability laws
    • Pakes, A.G. (2007) Structure of Stieltjes classes of moment-equivalent probability laws. J. Math. Anal. Applic. 326 1268-1290.
    • (2007) J. Math. Anal. Applic , vol.326 , pp. 1268-1290
    • Pakes, A.G.1
  • 10
    • 84985560541 scopus 로고
    • Length-biasing, characterization of laws, and the moment problem
    • Pakes, A.G. And Khattree, R. (1992). Length-biasing, characterization of laws, and the moment problem. Austral. J. Statist. 34 307-322.
    • (1992) Austral J. Statist , vol.34 , pp. 307-322
    • Pakes, A.G.1    Khattree, R.2
  • 11
    • 38149056388 scopus 로고
    • On random variables which have the same distribution as their reciprocals
    • Seshadri, V. (1965). On random variables which have the same distribution as their reciprocals. Canad. Math. Bull. 8 819-924.
    • (1965) Canad. Math. Bull , vol.8 , pp. 819-924
    • Seshadri, V.1
  • 13
    • 4344576375 scopus 로고    scopus 로고
    • Stieltjes classes for moment-indeterminate probability distributions
    • Stoyanov, J. (2004). Stieltjes classes for moment-indeterminate probability distributions. J. Appl. Probab. 41A 281-294.
    • (2004) J. Appl. Probab , vol.41A , pp. 281-294
    • Stoyanov, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.