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Distribution Theory for Tests Based on Sample Distribution Function

Distribution Theory for Tests Based on Sample Distribution Function

Part of CBMS-NSF Regional Conference Series in Applied Mathematics

  • Date Published: January 1987
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898710076

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  • Presents a coherent body of theory for the derivation of the sampling distributions of a wide range of test statistics. Emphasis is on the development of practical techniques. A unified treatment of the theory was attempted, e.g., the author sought to relate the derivations for tests on the circle and the two-sample problem to the basic theory for the one-sample problem on the line. The Markovian nature of the sample distribution function is stressed, as it accounts for the elegance of many of the results achieved, as well as the close relation with parts of the theory of stochastic processes.

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    Product details

    • Date Published: January 1987
    • format: Paperback
    • isbn: 9780898710076
    • length: 70 pages
    • dimensions: 255 x 178 x 100 mm
    • weight: 0.3kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Kolmogorov-Smirnov Tests, Finite-sample case
    Asymptotic theory of Kolmogorov-Smirnov tests
    Cramer-von Mises tests
    Tests on the circle
    Two-sample tests
    Tests based on the sample d.f. when Parameters are estimated.

  • Author

    J. Durbin

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