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      Nonparametric goodness of fit tests for Pareto type-I distribution with complete and censored data

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          Abstract

          Two new goodness of fit tests for the Pareto type-I distribution for complete and right censored data are proposed using fixed point characterization based on Steins type identity. The asymptotic distributions of the test statistics under both the null and alternative hypotheses are obtained. The performance of the proposed tests is evaluated and compared with existing tests through a Monte Carlo simulation experiment. The newly proposed tests exhibit greater power than existing tests for the Pareto type-I distribution. Finally, the methodology is applied to real-world data sets.

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          Author and article information

          Journal
          29 August 2024
          Article
          2408.16384
          6d009ba6-0992-486f-9b28-9392df7a61eb

          http://creativecommons.org/publicdomain/zero/1.0/

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          Custom metadata
          33 Pages
          stat.ME math.ST stat.TH

          Methodology,Statistics theory
          Methodology, Statistics theory

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