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Local efficiency of integrated goodness-of-fit tests under skew alternatives
A. Durio, Ya. Yu. Nikitin
The efficiency of distribution-free {\it integrated} goodness-of-fit tests was studied by Henze and Nikitin (2000, 2002) under location alternatives. We calculate local Bahadur eff…
Efficiency of Exponentiality Tests Based on a Special Property of Exponential Distribution
Ya. Yu. Nikitin, K. Yu. Volkova
New goodness-of-fit tests for exponentiality based on a particular property of exponential law are constructed. Test statistics are functionals of U-empirical processes. The first…
Tests of exponentiality based on Arnold-Villasenor characterization, and their efficiencies
M. Jovanovic, B. Milosevic, Ya. Yu. Nikitin +2
We propose two families of scale-free exponentiality tests based on the recent characterization of exponentiality by Arnold and Villasenor. The test statistics are based on suitabl…
New -empirical tests of symmetry based on extremal order statistics, and their efficiencies
Ya. Yu. Nikitin, M. Ahsanullah
We use a characterization of symmetry in terms of extremal order statistics which enables to build several new nonparametric tests of symmetry. We discuss their limiting distributi…
Asymptotic Efficiency of Goodness-of-fit Tests for the Power Function Distribution Based on Puri--Rubin Characterization
Ya. Yu. Nikitin, K. Yu. Volkova
We construct integral and supremum type goodness-of-fit tests for the family of power distribution functions. Test statistics are functionals of empirical processes and are bas…