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Doubly stochastic measures with hairpin support
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  • Published: August 1988

Doubly stochastic measures with hairpin support

  • H. Sherwood1 &
  • M. D. Taylor1 

Probability Theory and Related Fields volume 78, pages 617–626 (1988)Cite this article

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  • 14 Citations

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Summary

Seethoff and Shiflett [5] proved nice uniqueness theorems concerning doubly stochastic measures supported on the union of the graphs of two functions, but the existence theorems were more elusive. In this present paper, using a functional equations approach, not only uniqueness results but also existence theorems are obtained for doubly stochastic measures with support sets of the form g∪g-1 where g is an increasing homeomorphism of [0,1] onto itself such that g(x)<x> whenever 0<x<1.

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References

  1. Douglas, R.G.: On extremal measures and subspace density. Michigan Math. J. 11, 243–246 (1964)

    Google Scholar 

  2. Choczewski, B., Kuczma, M.: On the “indeterminate case” in the theory of a linear functional equation. Fund. Math. LVIII, 163–175 (1966)

    Google Scholar 

  3. Lindenstrauss, J.: A remark on extreme doubly stochastic measures. Am. Math. Monthly 72, 379–382 (1965)

    Google Scholar 

  4. Schweizer, B., Sklar, A.: Probabilistic metric spaces. New York: North-Holland, 1983

    Google Scholar 

  5. Seethoff, T.L., Shiflett, R.C.: Doubly stochastic measures with prescribed support. Z. Wahrscheinlichleitstheor. Verw. Geb. 41, 283–288 (1978)

    Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, University of Central Florida, 32816-6990, Orlando, FL, USA

    H. Sherwood & M. D. Taylor

Authors
  1. H. Sherwood
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  2. M. D. Taylor
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Cite this article

Sherwood, H., Taylor, M.D. Doubly stochastic measures with hairpin support. Probab. Th. Rel. Fields 78, 617–626 (1988). https://doi.org/10.1007/BF00353879

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  • Received: 23 June 1987

  • Revised: 02 February 1988

  • Issue Date: August 1988

  • DOI: https://doi.org/10.1007/BF00353879

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Keywords

  • Stochastic Process
  • Probability Theory
  • Functional Equation
  • Statistical Theory
  • Existence Theorem
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