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Article

Goodness-of-Fit Tests for the Power Function Distribution Based on the Puri-Rubin Characterization and Their Efficiencies

Journal of Mathematical Sciences. 2014. Vol. 199. No. 2. P. 130-138.
Nikitin Y. Y., Volkova K. Y.

We construct and study new goodness-of-fit tests for the power distribution based on the Puri-Rubin characterization and using U-empirical distribution functions. We describe their limiting distributions and large deviations. Next we find their local Bahadur efficiency for common alternatives and study the conditions of local optimality.