A Winsorized Adaptive Rank Test for Location when Sampling from Asymmetric Distributions
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Corzo Salamanca, J. A., & Vergara Morales, M. E. (2016). A Winsorized Adaptive Rank Test for Location when Sampling from Asymmetric Distributions. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 40(156), 527–532. https://doi.org/10.18257/raccefyn.333

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Abstract

We propose a winsorized adaptive rank test for the location alternative for samples from asymmetric distributions coming from the Generalized Lambda Family. We give analytic expressions for the exact and asymptotic distributions and for the first two moments of the test statistic. By means of a Monte Carlo study, we show that for various selections of the winsorization parameter, our test is more powerful than the sign test, and than the original test, from which the proposed test is adapted. © 2016. Acad. Colomb. Cienc. Ex. Fis. Nat. All rights reserved.
https://doi.org/10.18257/raccefyn.333
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References

Baklizi, A. 2005. A Continuously Adaptive Rank Test for Shift in Location, Australian & New Zealand Journal of Statistics 47 (2): 203-209.

Corzo, J. and Babativa, G. 2013. A Modified Runs Test for Symmetry, Journal of the Statistical Computation and Simulation 83 (5): 984-991.

Hajek, J. 1999. Theory of Rank Test, 2nd edition, Academic Press, New York.

Hettmansperger, T. 1984. Statistical Inference Based on Ranks, John Wiley & Sons, New York.

Karian, Z. A. and Dudewicz, E. J. 2000. Fitting Statistical Distributions: The Generalized Lambda Distribution and Generalized Bootstrap Methods, CRC Press, Boca Ratón FL.

Lemmer, H. 1987. A Test for the Median, Combining the Sign and the Signed Rank Tests, Comm. Statist. Simulation Comput 16 (4): 621-627.

Lemmer, H. 1993. Adaptive Tests for the Median, IEEE Trans. Reliability 42 (4): 442-448.

Randles, R., Fligner, M., Policello, G. and Wolfe, D. 1980. An Asymptotically Distribution-Free Test for Symmetry versus Asymmetry, Journal of the American Statistics Association 75 (369): 168-172.

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