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Simultaneous confidence intervals for ordered pairwise differences of exponential location parameters under heteroscedasticity

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  • Singh, Parminder
  • Singh, Navdeep

Abstract

This article deals with the extension of the two-stage and one-stage procedures for successive differences of location parameters of k independent two-parameter exponential distributions proposed by Maurya et al. (2011). While maintaining the advantages of the Maurya et al. (2011) procedure, our proposed procedure has more power for rejecting the null hypothesis of homogeneity of several location parameters in favour of the alternative. Finally, a numerical example is given to illustrate the advantages of the proposed procedure.

Suggested Citation

  • Singh, Parminder & Singh, Navdeep, 2013. "Simultaneous confidence intervals for ordered pairwise differences of exponential location parameters under heteroscedasticity," Statistics & Probability Letters, Elsevier, vol. 83(12), pages 2673-2678.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:12:p:2673-2678
    DOI: 10.1016/j.spl.2013.09.004
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    References listed on IDEAS

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    1. Maurya, Vishal & Goyal, Anju & Gill, Amar Nath, 2011. "Simultaneous testing for the successive differences of exponential location parameters under heteroscedasticity," Statistics & Probability Letters, Elsevier, vol. 81(10), pages 1507-1517, October.
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    Cited by:

    1. Anjana Mondal & Markus Pauly & Somesh Kumar, 2024. "Testing against ordered alternatives in one-way ANOVA model with exponential errors," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 76(4), pages 649-678, August.

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