Structural probability bounds for the strong Pareto law

Abstract

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.

Default Bayesian hypothesis testing for the scale parameters in nonregular Pareto distributions

“…Dyer (1981) reported annual wage data (in multiples of 100 US dollars) of a random sample of 30 production line workers in a large industrial firm for which the Pareto distribution appeared to be adequate. To test the equality of the scale parameters, we randomly divided this data into two groups.…”

Hypotheses testing with the two-parameter Pareto distribution on the basis of records in fuzzy environment

“…Dyer [15] reported an annual wage data set (in multiplies of 100 US dollars) of a random sample of 30 production-line workers in a large industrial firm, as presented in Table 1. He argued that the Pareto distribution provided an adequate fit for these data.…”

“…A review on recordbased Pareto analysis is presented in Section 4. For illustrative purposes, in Section 5, a real data set on annual wage, due to Dyer [15], is analyzed using the results obtained.…”

Likelihood and Bayesian estimations for step-stress life test model under Type-I censoring

“…It has been found as a good model in biomedical problems, such as survival time following a heart transplant, "see Bain and Engelhardt [9]". Using the Pareto distribution, Dyer [15] studied annual wage data of production line workers in a large industrial firm. Lomax [28] used this distribution in the analysis of business failure data.…”