Provost, S. B. The distribution function of a statistic for testing the equality of scale parameters in two gamma populations. (English) Zbl 0691.62017 Metrika 36, No. 6, 337-345 (1989). Summary: The exact distribution function of the ratio of two sums of gamma variates is derived. The result applies to ratios of quadratic forms and to a statistic used for testing equality of scale parameters in two gamma populations. Cited in 1 ReviewCited in 1 Document MSC: 62E15 Exact distribution theory in statistics Keywords:ratio of two sums of gamma variates; ratios of quadratic forms; testing equality of scale parameters PDFBibTeX XMLCite \textit{S. B. Provost}, Metrika 36, No. 6, 337--345 (1989; Zbl 0691.62017) Full Text: DOI EuDML References: [1] Ali MM, Obaidullah M (1982) Distribution of linear combination of exponential variates. Commun Statist-Theor Meth 11(13):1453–1463 · Zbl 0511.62023 · doi:10.1080/03610928208828321 [2] Bain LJ, Engelhart M (1975) A two-moment chi-square approximation for the statistic log \((\bar x/\bar x)\) . Journal of the American Statistical Association 70:948–950 · Zbl 0324.62011 · doi:10.2307/2285462 [3] Choi SC, Wette R (1969) Maximum likelihood estimation of the parameters of the gamma distribution and their bias. Technometrics 11:683–690 · Zbl 0183.48003 · doi:10.2307/1266892 [4] Gradshteyn IS, Ryzhik IM (1980) Table of integrals series and products, corrected and enlarged edition. Academic Press, New York [5] Grice JV, Bain JL (1980) Inferences concerning the mean of the gamma distribution. Journal of the American Statistical Association 75:929–933 · Zbl 0448.62013 · doi:10.2307/2287183 [6] Linhart H (1965) Approximate confidence limits for the coefficient of variation of gamma distributions. Biometrics 31:733–737 · doi:10.2307/2528554 [7] Mathai AM (1983) On linear combinations of independent exponential variables. Commun Statist-Theor Meth 12(6):625–632 · Zbl 0523.62084 · doi:10.1080/03610928308828483 [8] Shiue W-K, Bain LJ (1983) A two-sample test of equal gamma distribution scale parameters with unknown common shape parameter. Technometrics 25:377–381 · Zbl 0527.62029 · doi:10.2307/1267860 [9] Shorack GR (1972) The best test of exponentiality against gamma alternatives. Journal of the American Statistical Association 67:213–214 · Zbl 0235.62007 · doi:10.2307/2284727 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.