论文信息 - The standardized inverse gaussian distribution tables of the cumulative probability function

The standardized inverse gaussian distribution tables of the cumulative probability function

In this article, the three-parameter I.G. distribution is standardized with zero mean and unit variance. The third standard moment α3 is employed as the shape parameter. Tables of the cumulative probability function are given as a function of the standardized variate z, and of the shape parameter, α3. Various comparisons are made with the lognormal, Weibull, and gamma distributions.

Betty Jones Whitten | A. Cohen | B. J. Whitten | Micah Y. Chan | A. Clifford Cohen

[1] A. Cohen,et al. Percentiles and other characteristics of the four-parameter generalized gamma distribution , 1981 .

[2] A. Wald. On Cumulative Sums of Random Variables , 1944 .

[3] M. T. Wasan. On an inverse Gaussian process , 1968 .

[4] J. L. Folks,et al. Estimation of the Inverse Gaussian Distribution Function , 1974 .

[5] M. T. Wasan,et al. Tables of Inverse Gaussian Percentage Points , 1969 .

[6] L. R. Salvosa. Tables of Pearson's Type III Function , 1930 .

[7] M. Tweedie. Statistical Properties of Inverse Gaussian Distributions. II , 1957 .

[8] Russell C. H. Cheng,et al. Maximum likelihood Estimation of Parameters in the Inverse Gaussian Distribution, With Unknown Origin , 1981 .

[9] W. J. Padgett,et al. Estimation for the three-parameter inverse gaussian distribution , 1979 .

[10] J. L. Folks,et al. The Inverse Gaussian Distribution and its Statistical Application—A Review , 1978 .

[11] K. S. Kölbig,et al. Errata: Milton Abramowitz and Irene A. Stegun, editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U.S. Government Printing Office, Washington, D.C., 1994, and all known reprints , 1972 .