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A test of goodness-of-fit based on Gini's index of spacings

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  • Jammalamadaka, S.R.S. Rao
  • Goria, M. N.
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    Abstract

    This paper introduces a new test for goodness-of-fit based on the Gini index which is the sum over all pairs, of the absolute differences of the observed spacings. We derive its exact and asymptotic distributions under the null hypothesis, after showing that it is distributionally equivalent to the sum of uniform observations on the unit interval. After a discussion of local powers of this and related tests, we provide simulated power comparisons, which demonstrate that the Gini test is better than all the other competitors considered, against a wide variety of alternatives.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 68 (2004)
    Issue (Month): 2 (June)
    Pages: 177-187

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    Handle: RePEc:eee:stapro:v:68:y:2004:i:2:p:177-187

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    Related research

    Keywords: Goodness-of-fit tests Spacings Gini index Order statistics Directional data;

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    Cited by:
    1. Banerjee, Shuvadeep, 2008. "A distribution free goodness of fit test for a stochastically ordered alternative," Statistics & Probability Letters, Elsevier, vol. 78(17), pages 2868-2875, December.

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