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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.

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.

Suggested Citation

  • Jammalamadaka, S.R.S. Rao & Goria, M. N., 2004. "A test of goodness-of-fit based on Gini's index of spacings," Statistics & Probability Letters, Elsevier, vol. 68(2), pages 177-187, June.
    • Handle: RePEc:eee:stapro:v:68:y:2004:i:2:p:177-187
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    References listed on IDEAS

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    1. Sreenivasa Rao Jammalamadaka & Emanuele Taufer, 2001. "Testing Exponentiality by comparing the Empirical," Quaderni DISA 053, Department of Computer and Management Sciences, University of Trento, Italy, revised 12 Sep 2003.
    2. Rao, J. S. & Sobel, Milton, 1980. "Incomplete Dirichlet integrals with applications to ordered uniform spacings," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 603-610, December.
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    Cited by:

    1. Francesco Moscone & Elisa Tosetti, 2009. "A Review And Comparison Of Tests Of Cross‐Section Independence In Panels," Journal of Economic Surveys, Wiley Blackwell, vol. 23(3), pages 528-561, July.
    2. 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.
    3. J. S. Allison & L. Santana & N. Smit & I. J. H. Visagie, 2017. "An ‘apples to apples’ comparison of various tests for exponentiality," Computational Statistics, Springer, vol. 32(4), pages 1241-1283, December.

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