Empirical Bayes estimation of the scale parameter in Pareto distribution
Computational Statistics & Data Analysis
Computational Statistics & Data Analysis
Interval estimation for a Pareto distribution based on a doubly type II censored sample
Computational Statistics & Data Analysis
Two-sided tolerance intervals in the exponential case: Corrigenda and generalizations
Computational Statistics & Data Analysis
Bounding maximum likelihood estimates based on incomplete ordered data
Computational Statistics & Data Analysis
Bayesian analysis of Birnbaum-Saunders distribution with partial information
Computational Statistics & Data Analysis
Testing hypotheses in the Birnbaum-Saunders distribution under type-II censored samples
Computational Statistics & Data Analysis
Exact distribution of the product of m gamma and n Pareto random variables
Journal of Computational and Applied Mathematics
Computational Statistics & Data Analysis
Generalized beta prior models on fraction defective in reliability test planning
Journal of Computational and Applied Mathematics
Computing optimal confidence sets for Pareto models under progressive censoring
Journal of Computational and Applied Mathematics
Hi-index | 0.03 |
Available joint confidence sets for the parameters of the Pareto model are not the regions with minimum area. In order to determine the smallest joint confidence region among all those which are based on the minimal sufficient statistic, a computational procedure is proposed which is applicable even when some of the smallest and largest observations have been discarded or censored; i.e., both single (right or left) and double censoring are allowed. The smallest Pareto region is determined by using iterative linear interpolation, as well as numerical integration and optimization methods. A few iterations are often enough to achieve the optimal solution. The reduction in area of the smallest confidence regions with respect to the existing sets is substantial in most situations, and enormous in some cases. Applications of the present approach include uses in estimation and hypothesis testing. In particular, it permits to construct confidence intervals for functions of the Pareto parameters, as well as pointwise and simultaneous confidence bands for the Pareto distribution function. Data sets concerning component lifetimes, fire claims and business failures are studied for illustrative and comparative purposes.