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Communications in Statistics - Simulation and Computation Volume 19, 1990 - Issue 4
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Original Articles

On the Computation of Non-Central Chi-Square Distribution Function

Dr. Ashour Samir Kamel Institute of Statistical Studies and Research, Cairo University, Egypt.
&
Ali I. Abdel-Samad Institute of Statistical Studies and Research, Cairo University, Egypt.
Pages 1279-1291 | Received 01 May 1990, Published online: 27 Jun 2007

Citations (13)

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Read on this site (4)

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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C. Ittrich, D. Krause & W.-D. Richter. (2000) Probabilities and Large Quantiles of Noncentral Generalized Chi-Square Distributions. Statistics 34:1, pages 53-101.
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R. Chattamvelli & R. Shanmugam,. (1995) Efficient computation of the noncentral x2 distribution. Communications in Statistics - Simulation and Computation 24:3, pages 675-689.
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Cherng Ding. (1994) An efficient algorithm for computing the noncentrality parameters of chi-squared tests. Communications in Statistics - Simulation and Computation 23:3, pages 861-870.
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Articles from other publishers (9)

Athira Subhash, Sheetal Kalyani, Yazan H. Al-Badarneh & Mohamed-Slim Alouini. (2022) On the Asymptotic Performance Analysis of the k -th Best Link Selection Over Non-Identical Non-Central Chi-Square Fading Channels . IEEE Transactions on Communications 70:11, pages 7191-7206.
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Yury A. Brychkov, Dragana Jankov Maširević & Tibor K. Pogány. (2022) New Expression for CDF of $$\chi _\nu '^2(\lambda )$$ Distribution and Marcum $$Q_1$$ Function. Results in Mathematics 77:3.
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Dragana Jankov Maširević & Tibor K. Pogány. (2021) CDF of non-central distribution revisited. Incomplete hypergeometric type functions approach . Indagationes Mathematicae 32:4, pages 901-915.
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Árpád Baricz, Dragana Jankov Maširević & Tibor Pogány. (2021) Approximation of CDF of Non-Central Chi-Square Distribution by Mean-Value Theorems for Integrals. Mathematics 9:2, pages 129.
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Amparo Gil, Javier Segura & Nico M. Temme. (2014) Recent software developments for special functions in the Santander–Amsterdam project. Science of Computer Programming 90, pages 42-54.
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Amparo Gil, Javier Segura & Nico M. Temme. (2014) Algorithm 939. ACM Transactions on Mathematical Software 40:3, pages 1-21.
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Antonia Castaño-Martínez & Fernando López-Blázquez. (2005) Distribution of a sum of weighted noncentral chi-square variables. TEST 14:2, pages 397-415.
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Son-Hee Gu. (2002) An Effective Algorithm for the Noncentral Chi-Squared Distribution Function. The KIPS Transactions:PartA 9A:2, pages 267-270.
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Emilio Barone & Domenico Cuoco. (1991) The Valuation of Bonds and Bond Options: Some Empirical Tests. SSRN Electronic Journal.
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