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Volumn 32, Issue 3 B, 2004, Pages 2463-2476

Characterization of the cubic exponential families by orthogonality of polynomials

Author keywords

Exponential family; Orthogonal polynomials; Sheffer polynomials; Variance function

Indexed keywords


EID: 4544262208     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117904000000522     Document Type: Article
Times cited : (19)

References (10)
  • 1
    • 0000004746 scopus 로고
    • Some classes of orthogonal polynomials associated with martingales
    • FEINSILVER, P. (1986). Some classes of orthogonal polynomials associated with martingales. Proc. Amer. Math. Soc. 98 298-302.
    • (1986) Proc. Amer. Math. Soc. , vol.98 , pp. 298-302
    • Feinsilver, P.1
  • 4
    • 0002757787 scopus 로고
    • Natural real exponential families with cubic variance functions
    • LETAC, G. and MORA, M. (1990). Natural real exponential families with cubic variance functions. Ann. Statist. 18 1-37.
    • (1990) Ann. Statist. , vol.18 , pp. 1-37
    • Letac, G.1    Mora, M.2
  • 5
    • 84960600688 scopus 로고
    • Orthogonal polynomsysteme mit einer besonderen gestalt der erzengenden function
    • MEIXNER, J. (1934). Orthogonal Polynomsysteme mit einer besonderen Gestalt der erzengenden Function. J. London Math. 9 6-13.
    • (1934) J. London Math. , vol.9 , pp. 6-13
    • Meixner, J.1
  • 6
    • 0002233396 scopus 로고
    • Natural exponential families with quadratic variance function
    • MORRIS, C. N. (1982). Natural exponential families with quadratic variance function. Ann. Statist. 10 65-80.
    • (1982) Ann. Statist. , vol.10 , pp. 65-80
    • Morris, C.N.1
  • 7
    • 0001894625 scopus 로고    scopus 로고
    • Orthogonal polynomials and natural exponential families
    • POMMERET, D. (1996). Orthogonal polynomials and natural exponential families. Test 5 77-111.
    • (1996) Test , vol.5 , pp. 77-111
    • Pommeret, D.1
  • 9
    • 84972535289 scopus 로고
    • Some properties of polynomial sets type 0
    • SHEFFER, I. M. (1939). Some properties of polynomial sets type 0. Duke Math. J. 5 590-622.
    • (1939) Duke Math. J. , vol.5 , pp. 590-622
    • Sheffer, I.M.1
  • 10
    • 0001684503 scopus 로고
    • Multivariable Meixner, Krawtchouk and Meixner-Pollaczek polynomials
    • TRATNIK, M. V. (1989). Multivariable Meixner, Krawtchouk and Meixner-Pollaczek polynomials. J. Math. Phys. 30 2740-2749.
    • (1989) J. Math. Phys. , vol.30 , pp. 2740-2749
    • Tratnik, M.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.