A random effects model for comparing Pareto populations. (September 2020)

• Record Type: Journal Article
• Authors: Baratnia, Mohammad; Doostparast, Mahdi
• Is Part Of: Computers & industrial engineering. Volume 147(2020)
• Publication Date: 2020-09
• Subjects: One-way classification -- Random effects -- Estimation -- Pareto distribution -- Exponential distribution; 62-07 -- 62P30; Engineering -- Data processing -- Periodicals; Industrial engineering -- Periodicals; 620.00285
• DOI: 10.1016/j.cie.2020.106612
• Languages: English
• ISSNs: 0360-8352

Abstract

Abstract: This paper deals with comparing Pareto populations by proposing a one-way classification analysis in which effects are random. Explicit expressions for several characteristics of the Pareto response variable such as marginal distribution and hazard functions, mean, variance and intraclass correlation coefficient are derived. Estimations of the proposed model parameters and predictions with the minimum mean square error loss are also achieved. A procedure for testing homogeneity of populations is proposed. The performances of estimates and predictions are assessed numerically.