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A theorem on large-deviation probabilities for decomposable statistics and its statistical application

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Publication:1061425
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DOI10.1007/BF01156472zbMath0571.62018MaRDI QIDQ1061425

A. F. Ronzhin

Publication date: 1984

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

asymptotic efficiencycritical valuesmoment-generating functionmultinomial trialssimple hypothesisdecomposable statisticscomposite alternative


Mathematics Subject Classification ID

Large deviations (60F10) Asymptotic properties of parametric tests (62F05)


Related Items (2)

The probabilities of large deviations for a certain class of statistics associated with multinomial distribution ⋮ On the asymptotic properties of a certain class of goodness-of-fit tests associated with multinomial distributions



Cites Work

  • Some Generalizations of the Test of Empty Boxes
  • Approximation by polynomials of continuous functions on Jordan arcs in the space 𝐾ⁿ of 𝑛 complex variables
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