Tests based on characterizations, and their efficiencies: a survey

YY Nikitin - arxiv preprint arxiv:1707.01522, 2017 - arxiv.org
A survey of goodness-of-fit and symmetry tests based on the characterization properties of
distributions is presented. This approach became popular in recent years. In most cases the …

Distribution-free goodness-of-fit tests for the Pareto distribution based on a characterization

J Allison, B Milošević, M Obradović, M Smuts - Computational Statistics, 2022 - Springer
We propose three new classes of goodness-of-fit tests for the Pareto type I distribution based
on a characterization. The asymptotic null distribution for the tests are derived and their …

Testing for the Pareto type I distribution: A comparative study

L Ndwandwe, JS Allison, L Santana, IJH Visagie - Metron, 2023 - Springer
Pareto distributions are widely used models in economics, finance and actuarial sciences.
As a result, a number of goodness-of-fit tests have been proposed for these distributions in …

On classes of consistent tests for the Type I Pareto distribution based on a characterization involving order statistics

J Ngatchou–Wandji, T Nombebe, L Santana, J Allison - Statistics, 2024 - Taylor & Francis
We propose new classes of goodness-of-fit tests for the Pareto Type I distribution. These
tests are based on a characterization of the Pareto distribution involving order statistics. We …

[PDF][PDF] Some recent characterization based goodness of fit tests

B Miloševic - the Proceedings of the 20th European Young …, 2017 - indico.uu.se
In this paper some recent advances in goodness of fit testing are presented. Special
attention is given to goodness of fit tests based on equidistribution and independence …

Exponentiality tests based on Basu characterization

MD Jiménez-Gamero, B Milošević, M Obradović - Statistics, 2020 - Taylor & Francis
This paper proposes and studies two new classes of tests for exponentiality. Both of them
are based on Basu's characterization of the exponential distribution. The null distributions of …

Asymptotic efficiency of goodness-of-fit tests based on Too–Lin characterization

B Milošević - Communications in Statistics-Simulation and …, 2020 - Taylor & Francis
In this article, a new class of uniformity tests is proposed. It is shown that those tests are
applicable to the cases of any simple null hypothesis as well as for the composite null …

Bahadur efficiency of EDF based normality tests when parameters are estimated

B Milošević, YY Nikitin, M Obradović - arxiv preprint arxiv:2106.07437, 2021 - arxiv.org
In this paper some well-known tests based on empirical distribution functions (EDF) with
estimated parameters for testing composite normality hypothesis are revisited, and some …

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

AG Vishnu, A Lahiri, SK Kattumannil - arxiv preprint arxiv:2408.16384, 2024 - arxiv.org
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 …

Goodness-of-fit tests for the logistic location family

YY Nikitin, IA Ragozin - Journal of Applied Statistics, 2020 - Taylor & Francis
We construct two U-empirical tests for the logistic location family which are based on
appropriate characterization of this family using independent exponential shifts. We study …