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Regular version of the site

Article

Exponentiality tests based on Ahsanullah's characterization, and their efficiencies

Journal of Mathematical Sciences. 2015. Vol. 204. No. 1. P. 42-54.
Nikitin Ya. Yu., Volkova K. Y.

We propose  new tests of exponentiality of integral and of Kolmogorov type based on a characterization of exponentiality proposed by Ahsanullah. Bahadur efficiency of new tests is computed, conditions of local asymptotic optimality are described.