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Goodness-of-fit tests based on Verma Kullback–Leibler information

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ABSTRACT In this article, a new consistent estimator of Veram’s entropy is introduced. We establish the entropy test based on the new information namely Verma Kullback–Leibler discrimination methodology. The results… Click to show full abstract

ABSTRACT In this article, a new consistent estimator of Veram’s entropy is introduced. We establish the entropy test based on the new information namely Verma Kullback–Leibler discrimination methodology. The results are used to introduce goodness-of-fit tests for normal and exponential distributions. The root of mean square errors, critical values, and powers for some alternatives are obtained by simulation. The proposed test is compared with other tests.

Keywords: kullback leibler; information; goodness fit; verma kullback; fit tests

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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