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Converse Poincaré-type inequalities for convex functions

Author

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  • Bobkov, S. G.
  • Houdré, C.

Abstract

Converse Poincaré-type inequalities are obtained within the class of smooth convex functions. This is, in particular, applied to the double exponential distribution.

Suggested Citation

  • Bobkov, S. G. & Houdré, C., 1997. "Converse Poincaré-type inequalities for convex functions," Statistics & Probability Letters, Elsevier, vol. 34(1), pages 37-42, May.
    • Handle: RePEc:eee:stapro:v:34:y:1997:i:1:p:37-42
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    References listed on IDEAS

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    1. Cacoullos, T. & Papathanasiou, V., 1992. "Lower variance bounds and a new proof of the central limit theorem," Journal of Multivariate Analysis, Elsevier, vol. 43(2), pages 173-184, November.
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    Cited by:

    1. Rao, B. L. S. Prakasa, 1999. "Covariance identities for exponential and related distributions," Statistics & Probability Letters, Elsevier, vol. 42(3), pages 305-311, April.
    2. Bobkov, S. G. & Houdré, C., 1999. "A converse Gaussian Poincaré-type inequality for convex functions," Statistics & Probability Letters, Elsevier, vol. 44(3), pages 281-290, September.

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