Tsallis Log-Scale-Location Models. Moments, Gini Index and Some Stochastic Orders

نویسندگان

چکیده

In this article we give theoretical results for different stochastic orders of a log-scale-location family which uses Tsallis statistics functions. These describe the inequalities moments or Gini index according to parameters. We also compute mean in case q-Weibull and q-Gaussian distributions. The paper is aimed at analyzing order between survival functions, Lorenz curves (as consequences) together with (respectively generalized index). A real data application presented last section. This only function because implies moments. Given some supplementary conditions, prove that model coefficients. estimated parameters Pareto distribution computed from set model, by specifying Kolmogorov–Smirnov p-value. examples highlight four models several cases using As direct consequences, coefficients order.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9111216