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On record values of the power Lomax distribution. (English) Zbl 1377.62054

Summary: In this paper, some properties of the power Lomax (POLO) distribution based on upper record values are provided. The recurrence relations for moments and some distributional properties are presented. The maximum likelihood and Bayesian approaches for estimating the parameters of the power Lomax distribution have been considered under the upper record values. The Bayes estimates for the scale and shape parameters are obtained under the independent prior with respect to the squared error loss function. Further, the maximum likelihood prediction and Wald’s interval prediction for future upper record values are derived.

MSC:

62E10 Characterization and structure theory of statistical distributions
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
62F15 Bayesian inference