Algorithm AS 64: Inverse of the Incomplete Beta Function Ratio

Majumder, K. L.; Bhattacharjee, G. P.

doi:10.2307/2346798

Cited by 31 publications

(15 citation statements)

References 4 publications

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“…The numerical approximation specified in Algorithm AS 64/AS 109 (Majumdar and Bhattacharjee 1985b) is used. Expected Value: The expected value for a shifted and scaled Cauchy random variable does not exist.…”

Section: Algorithms For the Beta Distributionmentioning

confidence: 99%

User Instructions for the CiderF Individual Dose Code and Associated Utility Codes

Eslinger¹,

Napier²

2013

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SUMMARYHistorical activities at facilities producing nuclear materials for weapons released radioactivity into the air and water. Past studies in the United States have evaluated the release, atmospheric transport and environmental accumulation of 131 I from the nuclear facilities at Hanford in Washington State and the resulting dose to members of the public . A multi-year dose reconstruction effort (Mokrov et al. 2004) is also being conducted to produce representative dose estimates for members of the public living near Mayak, Russia, from atmospheric releases of 131

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Section: Algorithms For the Beta Distributionmentioning

confidence: 99%

User Instructions for the CiderF Individual Dose Code and Associated Utility Codes

Eslinger¹,

Napier²

2013

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“…If a computer Is available, the value of F(,() In I(F(x),r,n-r+1) can be calculated using an algorithm for the Invorse of the Incomplete beta function (Majumder and Bhattacharjee, 1973;update by Cran et. al., 1977).…”

Section: Extremes Of Small Samplesmentioning

confidence: 99%

Applied Extreme Value Statistics.

Derr¹,

Kinnison²

1986

Biometrics

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“…is given by (34). Percentage points of each approximating beta distribution were obtained by means of the algorithm given by Majumder & Bhattacharjee (1973b). MONTE CARLO EXPERIMENT The accuracy of the approximations for a. random series was tested by means of a Monte Carlo experiment.…”

Section: ) (32)mentioning

confidence: 99%

The Approximate Distribution of Partial Serial Correlation Coefficients Calculated from Residuals from Regression on Fourier Series

Durbin

1980

Biometrika

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JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. Biometrika Trust is collaborating with JSTOR to digitize, preserve and extend access to Biometrika. SUMMARYApproximations are found to the joint distributions of noncircular and circular partial serial correlation coefficients calculated from residuals from regression on Fourier series. Results for coefficients calculated from deviations from the true mean and from the sample mean are obtained as special cases. It is shown that when the observations aro independent the partial coefficients are approximately independently distributed in beta distributions that are the same for all odd-order coefficients and the same for all even-order coefficients. The approximations are of third-order accuracy in the sense that the error is of order n-312. They were obtained by the technique developed in another paper (Durbin, 1980).

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Algorithm AS 64: Inverse of the Incomplete Beta Function Ratio

Cited by 31 publications

References 4 publications

User Instructions for the CiderF Individual Dose Code and Associated Utility Codes

User Instructions for the CiderF Individual Dose Code and Associated Utility Codes

Applied Extreme Value Statistics.

The Approximate Distribution of Partial Serial Correlation Coefficients Calculated from Residuals from Regression on Fourier Series

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