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On Testing for the Nullity of Some Skewness Coefficients
Author(s) -
NgatchouWandji Joseph
Publication year - 2006
Publication title -
international statistical review
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.051
H-Index - 54
eISSN - 1751-5823
pISSN - 0306-7734
DOI - 10.1111/j.1751-5823.2006.tb00160.x
Subject(s) - skewness , statistics , mathematics , econometrics
Summary Three tests for the skewness of an unknown distribution are derived for iid data. They are based on suitable normalization of estimators of some usual skewness coefficients. Their asymptotic null distributions are derived. The tests are next shown to be consistent and their power under some sequences of local alternatives is investigated. Their finite sample properties are also studied through a simulation experiment, and compared to those of the √ b 2 ‐test.