Asymptotic inversion of incomplete gamma functions

Mathematics of Computation

Volumn 58, Issue 198, 1992, Pages 755-764

  Temme, N M ^a  

^a CWI   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84968501834     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1992-1122079-8     Document Type: Article

References (9)

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2. D. J. Best and D. E. Roberts, Algorithm AS 91: The percentage points of the x2 distribution, Appl. Statist. 24 (1975), 385-388.
3. J. M. Blair, C. A. Edwards, and J. H. Johnson, Rational Chebyshev approximations for the inverse of the error function, Math. Comp. 30 (1976), 827-830.
4. T. A. Bürgin, The gamma distribution and inventory control, Oper. Res. Q. 26 (1975), 507-525.
5. A. R. DiDonato and A. H. Morris, Jr., Computation of the incomplete gamma functions, ACM Trans. Math. Software 12 (1986), 377-393.
6. H. E. Fettis, An asymptotic expansion for the upper percentage points of the x2 distribution, Math. Comp. 33 (1979), 1059-1064.
7. A. J. Strecok, On the calculation of the inverse of the error function, Math. Comp. 22 (1968), 144-158.
8. N. M. Temme, The asymptotic expansions of the incomplete gamma functions, SIAM J. Math. Anal. 10 (1979), 757-766.
9. N. M. Temme, The uniform asymptotic expansion of a class of intégrais related to cumulative distribution functions, SIAM J. Math. Anal. 13 (1982), 239-253.