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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

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Read on this site (5)

Frédéric Ouimet. (2022) Refined normal approximations for the central and noncentral chi-square distributions and some applications. Statistics 56:4, pages 935-956.
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Xiaofeng Steven Liu. (2013) A Unified Way to Represent and Compute the Cumulative Distribution Function for Noncentral t, F, and χ2 . Communications in Statistics - Simulation and Computation 42:6, pages 1433-1436.
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M. A. Chaudhry & Asghar Qadir. (2005) Incomplete Exponential and Hypergeometric Functions with Applications to the Non Central χ2-Distribution. Communications in Statistics - Theory and Methods 34:3, pages 525-535.
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Ashour Samir Kamel & Ali I. Abdel-Samad. (1990) On the Computation of Non-Central Chi-Square Distribution Function. Communications in Statistics - Simulation and Computation 19:4, pages 1279-1291.
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Chou Youn-Min. (1985) New representations for the doubly noncentral f-distribution and derived distribution. Communications in Statistics - Theory and Methods 14:3, pages 527-534.
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Articles from other publishers (4)

M. R. Mitchell, R. E. Link, W. L. Pearn, H. N. Hung, Y. T. Tai & H. H. Hou. (2011) Process Capability Evaluation for Square Bumps with Mean Shift. Journal of Testing and Evaluation 39:5, pages 103641.
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Kerstin Vännman & Norma Faris Hubele. (2003) Distributional properties of estimated capability indices based on subsamples. Quality and Reliability Engineering International 19:2, pages 111-128.
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Jerzy Szroeter. (1992) Bounds for non-central chi-square distributions having unobservable random non-centrality parameters. Statistics & Probability Letters 13:1, pages 73-81.
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E. L. LehmannE. L. Lehmann. 1986. Testing Statistical Hypotheses. Testing Statistical Hypotheses 365 452 .

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