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Communications in Statistics - Theory and Methods Volume 13, 1984 - Issue 21
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Original Articles

New representations of the noncentral chi-square density and cumulative

Youn-Min Chou Division of Mathematics, Comouter Science and Systems Design, University of Texas at San Antonio, San Antonio, 78285, Texas
,
Kathleen H. Arthur Department of Statistics, Southern Methodist University, Dallas, 75275, Texas
,
Rebecca B. Rosenstein Department of Statistics, Southern Methodist University, Dallas, 75275, Texas
&
D.B Owen Department of Statistics, Southern Methodist University, Dallas, 75275, Texas
Pages 2673-2678 | Published online: 27 Jun 2007

References

  • Abdel-Aty , S. H . 1954 . Approximate formulae for the percentagepoints and the probability integral of the non-central x distribution . Biometrika , 41 : 538 – 540 .
  • Abramowitz , M.I.A. and Stegun . 1964 . Handbook of Mathematical Functions
  • Fix , Evelyn . 1949 . Tables of Non-Central x2 , University of California Publications in Statistics .
  • Guenther , W.C. 1964 . Another derivation of the non-central chi-square distribution . Journal of the American Statistical Association , : 957 – 960 .
  • Han , C.P. 1975 . Some relationships between noncentral chi-squared and normal distributions . Biometrika , 62 : 213 – 214 .
  • Haynam , G.E. , Govindarajulu , Z. and Leone , F.C. 1973 . Selected Tables in Mathematical Statistics , 1 – 78 . American Mathemati¬cal Society .
  • Johnson , N.L. 1959 . On an extension of the connection between Poisson and x2 distributions . Biometrika , 46 : 352 – 363 .
  • Patnaik , P.B. 1949 . The noncentral x2 and F distributions and their applications . Biometrika , 36 : 202 – 232 .
  • Sankaran , M. 1959 . On the non-central chi-square distribution . Biometrika , 46 : 235 – 237 .
  • Sankaran , M. 1963 . Approximations to the non=central chi-square distribution . Biometrika , 50 : 199 – 204 .

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