Efficiency and deficiency considerations in the symmetry problem

Willem/Wim Albers

    Research output: Contribution to journalArticleAcademic

    2 Citations (Scopus)
    38 Downloads (Pure)

    Abstract

    Usually, two statistical procedures A and B are compared by means of their asymptotic relative efficiency e. If e= 1, however, it is more informative to compare A and B by means of the concept of deficiency, which was introduced by Hodges and Lehmann [7]. In the present paper we use this concept for the comparison of linear rank tests and parametric tests for the symmetry problem. In this problem, the hypothesis has to be tested that a sample comes from a distribution that is symmetric about zero. The results provide new and strong edivence for the nice performance of linear rank tests for the symmetry problem. The present paper gives a survey of the results obtained by Albers, Bickel and van Zwet [1] and by Albers [2].
    Original languageUndefined
    Pages (from-to)81-92
    JournalStatistica Neerlandica
    Volume29
    Issue number3
    DOIs
    Publication statusPublished - 1975

    Keywords

    • IR-70656

    Cite this

    Albers, Willem/Wim. / Efficiency and deficiency considerations in the symmetry problem. In: Statistica Neerlandica. 1975 ; Vol. 29, No. 3. pp. 81-92.
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    Efficiency and deficiency considerations in the symmetry problem. / Albers, Willem/Wim.

    In: Statistica Neerlandica, Vol. 29, No. 3, 1975, p. 81-92.

    Research output: Contribution to journalArticleAcademic

    TY - JOUR

    T1 - Efficiency and deficiency considerations in the symmetry problem

    AU - Albers, Willem/Wim

    PY - 1975

    Y1 - 1975

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    AB - Usually, two statistical procedures A and B are compared by means of their asymptotic relative efficiency e. If e= 1, however, it is more informative to compare A and B by means of the concept of deficiency, which was introduced by Hodges and Lehmann [7]. In the present paper we use this concept for the comparison of linear rank tests and parametric tests for the symmetry problem. In this problem, the hypothesis has to be tested that a sample comes from a distribution that is symmetric about zero. The results provide new and strong edivence for the nice performance of linear rank tests for the symmetry problem. The present paper gives a survey of the results obtained by Albers, Bickel and van Zwet [1] and by Albers [2].

    KW - IR-70656

    U2 - 10.1111/j.1467-9574.1975.tb00252.x

    DO - 10.1111/j.1467-9574.1975.tb00252.x

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    EP - 92

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    JF - Statistica Neerlandica

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