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Exponentiality Tests Based on Ahsanullah’s Characterization and Their Efficiency. / Volkova, K.Y.; Nikitin, Y.Y.

In: Journal of Mathematical Sciences, No. 1, 2015, p. 42-54.

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@article{86c32b3135494c22afcd4342f82defe6,
title = "Exponentiality Tests Based on Ahsanullah{\textquoteright}s Characterization and Their Efficiency",
abstract = "{\textcopyright} 2014, Springer Science+Business Media New York.We construct integral and supremum type tests of exponentiality based on Ahsanullah{\textquoteright}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.",
author = "K.Y. Volkova and Y.Y. Nikitin",
year = "2015",
doi = "10.1007/s10958-014-2185-4",
language = "English",
pages = "42--54",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Exponentiality Tests Based on Ahsanullah’s Characterization and Their Efficiency

AU - Volkova, K.Y.

AU - Nikitin, Y.Y.

PY - 2015

Y1 - 2015

N2 - © 2014, Springer Science+Business Media New York.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.

AB - © 2014, Springer Science+Business Media New York.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.

U2 - 10.1007/s10958-014-2185-4

DO - 10.1007/s10958-014-2185-4

M3 - Article

SP - 42

EP - 54

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 4001444