论文信息 - Structural probability bounds for the strong Pareto law

Structural probability bounds for the strong Pareto law

By using the structural density function (Fraser 1979, Ch. 7) of the parameters of a Pareto distribution, the structural distribution function of the strong Pareto law is derived. Its fractiles have been evaluated numerically for special cases, and the results are displayed through graphs from which structural one-sided probability bounds may be found. It is shown that these graphs may also be used to find structural tolerance bounds for the Pareto distribution.

Danny D. Dyer | D. Dyer

[1] R. Buehler,et al. Fiducial Theory and Invariant Estimation , 1966 .

[2] B. Mandelbrot. THE PARETO-LEVY LAW AND THE DISTRIBUTION OF INCOME* , 1960 .

[3] G. C. Tiao,et al. Bayesian inference in statistical analysis , 1973 .

[4] M. B. Wilk,et al. An Analysis of Variance Test for the Exponential Distribution (Complete Samples) , 1972 .

[5] S. Zacks. The theory of statistical inference , 1972 .

[6] P. R. Fisk,et al. Distributions in Statistics: Continuous Multivariate Distributions , 1971 .

[7] Empirical Bayes approach to statistical estimation in the Paretian law , 1974 .

[8] Thaung Lwin. Estimation of the tail of the paretian law , 1972 .

[9] D. Pierce,et al. Note on Bayes-Fiducial Intervals for Problems of Location and Scale , 1971 .

[10] G. N. Wilkinson. On Resolving the Controversy in Statistical Inference , 1977 .

[11] D. Fraser,et al. Inference and Linear Models. , 1981 .

[12] D. Fraser. The Structure of Inference. , 1969 .

[13] D. Pierce. Fiducial, Frequency, and Bayesian Inference on Reliability for the Two Parameter Negative Exponential Distribution , 1973 .