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Volumn 3, Issue , 1998, Pages 1-20

Derivatives of the incomplete beta function

Author keywords

Censored beta; Continued fractions; Truncated beta; Truncated beta binomial

Indexed keywords


EID: 4544317490     PISSN: 15487660     EISSN: None     Source Type: Journal    
DOI: 10.18637/jss.v003.i01     Document Type: Article
Times cited : (19)

References (18)
  • 2
    • 0041193473 scopus 로고
    • Algorithm AS 103: Psi (digamma) function
    • Bernardo, J. M. (1976). Algorithm AS 103: Psi (digamma) function. Appl. Statist., 25, 315-317.
    • (1976) Appl. Statist. , vol.25 , pp. 315-317
    • Bernardo, J.M.1
  • 3
    • 21144475631 scopus 로고
    • Algorithm AS 284: Null distribution of a statistic for testing sphericity and additivity: A Jacobi polynomial expansion
    • Boik, R. J. (1993). Algorithm AS 284: Null distribution of a statistic for testing sphericity and additivity: A Jacobi polynomial expansion. Appl. Statist., 42, 567-584.
    • (1993) Appl. Statist. , vol.42 , pp. 567-584
    • Boik, R.J.1
  • 5
    • 0027559404 scopus 로고
    • ALGORITHM 715: SPECFUN - A portable FORTRAN package of special function routines and test drivers
    • Cody, W. J. (1993). ALGORITHM 715: SPECFUN - A portable FORTRAN package of special function routines and test drivers. ACM Transactions on Mathematical Software, 19, 22-32.
    • (1993) ACM Transactions on Mathematical Software , vol.19 , pp. 22-32
    • Cody, W.J.1
  • 6
    • 4544322768 scopus 로고
    • The incomplete beta function - A historical profile
    • Dutka, J. (1981). The incomplete beta function - A historical profile. Archive for History of the Exact Sciences, 24, 11-29.
    • (1981) Archive for History of the Exact Sciences , vol.24 , pp. 11-29
    • Dutka, J.1
  • 7
    • 0002334558 scopus 로고
    • Computational aspects of three-term recurrence relations
    • Gautschi, W. (1967). Computational aspects of three-term recurrence relations. SIAM review, 9, 24-82.
    • (1967) SIAM Review , vol.9 , pp. 24-82
    • Gautschi, W.1
  • 8
    • 0040237335 scopus 로고
    • Maximum likelihood estimation of the parameters of the beta distribution from smallest order statistics
    • Gnanadesikan, R., Pinkham, R. S., & Hughes, L. P. (1967) Maximum likelihood estimation of the parameters of the beta distribution from smallest order statistics. Technometrics, 9, 607-620.
    • (1967) Technometrics , vol.9 , pp. 607-620
    • Gnanadesikan, R.1    Pinkham, R.S.2    Hughes, L.P.3
  • 10
    • 0039147852 scopus 로고
    • Algorithm AS 187: Derivatives of the incomplete gamma integral
    • Moore, R. J. (1982). Algorithm AS 187: Derivatives of the incomplete gamma integral. Appl. Statist., 32, 330-335.
    • (1982) Appl. Statist. , vol.32 , pp. 330-335
    • Moore, R.J.1
  • 11
    • 84946254685 scopus 로고
    • On the application of continued fractions to the evaluation of certain integrals, with special reference to the incomplete Beta function
    • Müller, J. H. (1931). On the application of continued fractions to the evaluation of certain integrals, with special reference to the incomplete Beta function. Biometrika, 23, 284-297.
    • (1931) Biometrika , vol.23 , pp. 284-297
    • Müller, J.H.1
  • 12
    • 4544317394 scopus 로고
    • Algorithm AS 121: Trigamma function
    • Schneider, B. E. (1978). Algorithm AS 121: Trigamma function. Appl. Statist., 27, 97-99.
    • (1978) Appl. Statist. , vol.27 , pp. 97-99
    • Schneider, B.E.1
  • 13
    • 0001210532 scopus 로고
    • Algorithm AS 189: Maximum likelihood estimation of the parameters of the beta binomial distribution
    • Smith, D. M. (1983). Algorithm AS 189: Maximum likelihood estimation of the parameters of the beta binomial distribution. Appl. Statist., 32, 196-204.
    • (1983) Appl. Statist. , vol.32 , pp. 196-204
    • Smith, D.M.1
  • 14
    • 21844512780 scopus 로고
    • Comment on "Algorithm AS 189: Maximum likelihood estimation of the parameters of the beta-binomial distribution" (V32 p196-204)
    • Smith, D. M. & Ridout, M. S. (1995). Comment on "Algorithm AS 189: Maximum likelihood estimation of the parameters of the beta-binomial distribution" (V32 p196-204). Appl. Statist., 44 545-547.
    • (1995) Appl. Statist. , vol.44 , pp. 545-547
    • Smith, D.M.1    Ridout, M.S.2
  • 15
  • 16
    • 84976730293 scopus 로고
    • Continued fractions for the incomplete beta function: Additions and corrections
    • Tretter, M. J. & Walster, G. W. (1979). Continued fractions for the incomplete beta function: Additions and corrections. Ann. Statist., 7, 462-465.
    • (1979) Ann. Statist. , vol.7 , pp. 462-465
    • Tretter, M.J.1    Walster, G.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.