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Asymptotic theory for a two-stage procedure in sequential interval estimation of a normal mean

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  • Uno, Chikara

Abstract

We revisit the problem of sequential fixed-width interval estimation of the mean of a normal population. For a two-stage procedure, we derive an approximation to the coverage probability, when the variance has a known lower bound. Our approximation is more explicit than a recent result.

Suggested Citation

  • Uno, Chikara, 2013. "Asymptotic theory for a two-stage procedure in sequential interval estimation of a normal mean," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1420-1423.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:5:p:1420-1423
    DOI: 10.1016/j.spl.2013.02.007
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    References listed on IDEAS

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    1. Nitis Mukhopadhyay & William Duggan, 1999. "On a Two-Stage Procedure Having Second-Order Properties with Applications," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(4), pages 621-636, December.
    2. Mukhopadhyay N. & Duggan W.T., 2001. "A Two-Stage Point Estimation Procedure For The Mean Of An Exponential Distribution And Second-Order Results," Statistics & Risk Modeling, De Gruyter, vol. 19(2), pages 155-172, February.
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