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Journal of Mathematical Sciences

, Volume 204, Issue 1, pp 42–54 | Cite as

Exponentiality Tests Based on Ahsanullah’s Characterization and Their Efficiency

  • K. Yu. Volkova
  • Ya. Yu. Nikitin
Article

We construct integral and supremum type tests of exponentiality based on Ahsanullah’s characterization of the exponential law. We discuss limiting distributions and large deviations of new test statistics under the null-hypothesis and calculate their local Bahadur efficiency under common parametric alternatives. Conditions of local optimality of the new statistics are given. Bibliography: 33 titles.

Keywords

Kolmogorov Type Residual Life Function Leibler Information Bahadur Efficiency Exact Slope 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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