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On the resolution of a mixture of observations from two gamma distributions by the method of maximum likelihood. (English) Zbl 0285.62014
MSC:
62F10 Point estimation
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References:
[1] Abramowitz, M., andI. A. Stegun: Handbook of Mathematical Functions, Dover Publications, Inc., New York 1965.
[2] Blischke, W. R.: Estimating the Parameters of Mixtures of Binomial Distributions. Journal of the American Statistical Association,59, 510–528, 1964. · Zbl 0128.13501
[3] Charlier, C. V. L., andS. D. Wicksell: On the Dissection of Frequency Functions. Arkiv for Mathematik, Astronomi och Fysik, Bd.18, No. 6, 1924. · JFM 50.0657.01
[4] Cohen, A. C. Jr.: Estimation in Mixtures of Two Poisson Distributions. Aero-Astrodynamics, Research and Development, Research Review No. 1, NASA TM X-53189, 104–107, 1964.
[5] Gregor, J.: An Algorithm for the Decomposition of a Distribution into Gaussian Components. Biometrics,25, 79–93, 1969.
[6] John, S.: On Identifying the Population of Origin of Each Observation in a Mixture of Observations from Two Normal Populations. Technometrics,12, 553–564, 1970a.
[7] –: On Identifying the Population of Origin of Each Observation in a Mixture of Observations from Two Gamma Distributions. Technometrics,12, 565–568, 1970b.
[8] Kao, J. H. K.: A Graphical Estimation of Mixed weibull parameters in Life-Testing of Electron Tubes, Technometrics,1, 389–407, 1959.
[9] Pearson, K.: Contributions to the Mathematical Theory of Evolution, Philosophical Transactions of the Royal Society, A185, 71–110, 1894. · JFM 25.0347.02
[10] Rider, P. R.: Estimating the parameters of Mixed Potsson. Binomial and Weibull Distributions by the Method of moments. Bulletin of the International Statistical Institute,39, 225–232, 1961 a. · Zbl 0212.21602
[11] –: The Method of Moments Applied to a Mixture of Two Exponential Distributions. Annals of Mathematical Statistics,32, 143–147, 1961b. · Zbl 0106.13101
[12] Tallis, G. M., andR. Light: The Use of Fractional Moments for Estimating the Parameters of a Mixed Exponential Distribution. Technometrics,10, 161–175, 1968.
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