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One-sided and Inequality Tests for a Pair of Means

In: Contributions to Consumer Demand and Econometrics

Author

Listed:
  • Arthur S. Goldberger

Abstract

Consider the regression model y ~ N(Xβ, σ2 I), where X is n × k. Let θ = Rβ — r, where R is J × k of rank j. A familiar classical problem is to test the null hypothesis θ = 0 against the alternative that θ ≠ 0. Recently attention has been directed to these problems: Test the null θ = 0 against the one-sided alternative θ ≰ 0, Test the inequality null θ ⩽ 0 against the alternative θ ≰ 0.

Suggested Citation

  • Arthur S. Goldberger, 1992. "One-sided and Inequality Tests for a Pair of Means," Palgrave Macmillan Books, in: Ronald Bewley & Tran Hoa (ed.), Contributions to Consumer Demand and Econometrics, chapter 8, pages 140-162, Palgrave Macmillan.
  • Handle: RePEc:pal:palchp:978-1-349-12221-9_8
    DOI: 10.1007/978-1-349-12221-9_8
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    Citations

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    Cited by:

    1. Andrews, Donald W. K., 1998. "Hypothesis testing with a restricted parameter space," Journal of Econometrics, Elsevier, vol. 84(1), pages 155-199, May.
    2. Capistrán Carlos, 2007. "Optimality Tests for Multi-Horizon Forecasts," Working Papers 2007-14, Banco de México.
    3. Christopher J. Bennett, 2009. "Consistent and Asymptotically Unbiased MinP Tests of Multiple Inequality Moment Restrictions," Vanderbilt University Department of Economics Working Papers 0908, Vanderbilt University Department of Economics.
    4. Murasawa, Yasutomo & Morimune, Kimio, 2004. "Distribution-free statistical inference for generalized Lorenz dominance based on grouped data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(1), pages 133-142.

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