Geodesic
Rank tests of symmetry and R-estimation of location parameter under measurement errors
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 50 (2011) no. 2, pp. 95-102 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This paper deals with the hypotheses of symmetry of distributions with respect to a location parameter when the response variables are subject to measurement errors. Rank tests of hypotheses about the location parameter and the related R-estimators are studied in an asymptotic set up. It is shown, when and under what conditions, these rank tests and R-estimators can be used effectively, and the effect of measurement errors on the power of the test and on the efficiency of the R-estimators is indicated.
This paper deals with the hypotheses of symmetry of distributions with respect to a location parameter when the response variables are subject to measurement errors. Rank tests of hypotheses about the location parameter and the related R-estimators are studied in an asymptotic set up. It is shown, when and under what conditions, these rank tests and R-estimators can be used effectively, and the effect of measurement errors on the power of the test and on the efficiency of the R-estimators is indicated.
Classification : 62F07, 62G35
Keywords: location; measurement error; R-estimate; rank; rank test 
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     author = {Navr\'atil, Radim},
     title = {Rank tests of symmetry and {R-estimation} of location parameter under measurement errors},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {95--102},
     year = {2011},
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Navrátil, Radim. Rank tests of symmetry and R-estimation of location parameter under measurement errors. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 50 (2011) no. 2, pp. 95-102. http://geodesic.mathdoc.fr/item/AUPO_2011_50_2_a9/