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One-sided confidence intervals on nonnegative sums of variance components

Author

Listed:
  • Ting, Naitee
  • Burdick, Richard K.
  • Graybill, Franklin A.
  • Gui, Rongde

Abstract

Let nqS2q/[theta]q for q = 1,...,Q represent independently distributed chi-squared random variables with nq degrees of freedom. This paper considers the construction of one-sided confidence intervals on [gamma] = [Sigma]Qqcq[theta]q where cq [greater-or-equal, slanted] 0 for all q.

Suggested Citation

  • Ting, Naitee & Burdick, Richard K. & Graybill, Franklin A. & Gui, Rongde, 1989. "One-sided confidence intervals on nonnegative sums of variance components," Statistics & Probability Letters, Elsevier, vol. 8(2), pages 129-135, June.
  • Handle: RePEc:eee:stapro:v:8:y:1989:i:2:p:129-135
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    Cited by:

    1. Jiratampradab Arisa & Supapakorn Thidaporn & Suntornchost Jiraphan, 2022. "Comparison of confidence intervals for variance components in an unbalanced one-way random effects model," Statistics in Transition New Series, Statistics Poland, vol. 23(4), pages 149-160, December.

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    Keywords

    random model;

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