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    The Differential Approach to Superlative Index Number Theory

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    Barnett_JoAAE_35(2003)59.pdf (218.1Kb)
    Issue Date
    2003-09-01
    Author
    Barnett, William A.
    Choi, Ki-Hong
    Sinclair, Tara M.
    Publisher
    Cambridge University Press
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Published Version
    http://purl.umn.edu/43279
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    Abstract
    Diewert’s “superlative” index numbers, defined to be exact for second-order aggregator functions, unify index number theory with aggregation theory but have been difficult to identify. We present a new approach to finding elements of this class. This new approach, related to that advocated by Henri Theil, transforms candidate index numbers into growth rate form and explores convergence rates to the Divisia index. Because the Divisia index in continuous time is exact for any aggregator function, any discrete time index number that converges to the Divisia index and that has a third-order remainder term is superlative.
    Description
    This is the publisher's version, also available electronically from http://ageconsearch.umn.edu/handle/43279.
    URI
    http://hdl.handle.net/1808/16361
    ISSN
    1074-0708
    Collections
    • Distinguished Professors Scholarly Works [918]
    • Economics Scholarly Works [173]
    Citation
    Barnett, William A.; Choi, Ki-Hong; Sinclair, Tara M. (2003). "The Differential Approach to Superlative Index Number Theory." Journal of Agricultural and Applied Economics, 35(2003):59-64. http://purl.umn.edu/43279

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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