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2010•Unpublished venueRequires access

An application of Hellinger distance: Hypothesis testing for two continuous populations

Zhixiang Wang

Open publisher page 1 citations

Abstract

Our interest is in the problem where independent samples are drawn from two different Continuous populations, possibly with a common parameter. The goal is to test hypothesis about the parameters involved in these two samples. Test statistics are developed for the above purpose based on the Hellinger distance. The asymptotic distributions of the test statistics are derived. Necessary simulation data for demonstrating the conclusion which is derived in this paper is provided.

About this research paper

What this paper is about

Our interest is in the problem where independent samples are drawn from two different Continuous populations, possibly with a common parameter. The goal is to test hypothesis about the parameters involved in these two samples. Test statistics are developed for the above purpose based on the Hellinger distance. The asymptotic distributions of the test statistics are derived. Necessary simulation data for demonstrating the conclusion which is derived in this paper is provided.

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Our interest is in the problem where independent samples are drawn from two different Continuous populations, possibly with a common parameter. The goal is to test hypothesis about the parameters involved in these two samples. Test statistics are developed for the above purpose based on the Hellinger distance. The asymptotic distributions of the test statistics are derived. Necessary simulation data for demonstrating the conclusion which is derived in this paper is provided.

Key concepts: Hellinger distance, Statistical hypothesis testing, Statistics, Computer science, Mathematics, Test (biology), Econometrics, Biology

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