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A note on estimating the diameter of a truncated moment class

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  • Tardella, Luca

Abstract

The k-truncated moment class of all probability distributions [pi] on a compact interval I of the real line which have the same first k moments is considered. This paper derives some remarkable properties of the ranges of (k+h)th moments which allow to provide bounds for the diameter of [Gamma](mk) for a suitable probability metric.

Suggested Citation

  • Tardella, Luca, 2001. "A note on estimating the diameter of a truncated moment class," Statistics & Probability Letters, Elsevier, vol. 54(2), pages 115-124, September.
  • Handle: RePEc:eee:stapro:v:54:y:2001:i:2:p:115-124
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    Cited by:

    1. Zellinger, Werner & Moser, Bernhard A., 2021. "On the truncated Hausdorff moment problem under Sobolev regularity conditions," Applied Mathematics and Computation, Elsevier, vol. 400(C).

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