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A statistical analysis of the handling characteristics of certain sporting arms: frontier regression, the moment of inertia, and the radius of gyration

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  • Don Amos
  • T. Randolph Beard
  • Steven Caudill

Abstract

This article applies composed error frontier regression techniques to estimate the minimal moments of inertia and radii of gyration for a unique and varied sample of shotguns. We find that minimum inertia depends on weight, center of gravity, length of pull, and barrel length, but not on gauge, action type, or number of barrels. Curiously, minimal radii of gyration does not depend on barrel length, suggesting that the constraints on these two related but non-identical measures of handling are significantly different despite their high correlation. We also provide evidence in support of G. T. Garwood's claim that a lower inertia, other things equal, is a market-validated characteristic associated with quality.

Suggested Citation

  • Don Amos & T. Randolph Beard & Steven Caudill, 2005. "A statistical analysis of the handling characteristics of certain sporting arms: frontier regression, the moment of inertia, and the radius of gyration," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(1), pages 3-16.
    • Handle: RePEc:taf:japsta:v:32:y:2005:i:1:p:3-16
    DOI: 10.1080/0266476042000305113
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    References listed on IDEAS

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    1. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
    2. Battese, George E. & Corra, Greg S., 1977. "Estimation Of A Production Frontier Model: With Application To The Pastoral Zone Of Eastern Australia," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 21(3), pages 1-11, December.
    3. Jondrow, James & Knox Lovell, C. A. & Materov, Ivan S. & Schmidt, Peter, 1982. "On the estimation of technical inefficiency in the stochastic frontier production function model," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 233-238, August.
    4. George E. Battese & Greg S. Corra, 1977. "Estimation Of A Production Frontier Model: With Application To The Pastoral Zone Of Eastern Australia," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 21(3), pages 169-179, December.
    5. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
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