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Asymptotic tests for interval-valued means

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  • Sun, Yan

Abstract

We develop asymptotic tests for the means of interval-valued population. The problem is formulated and studied in the framework of random compact convex sets. Under both one-sample and two-sample settings, we derive analytical forms of the probability density functions for the limiting null distributions. Large sample testing rules are given based on numerical integration of the Bessel function.

Suggested Citation

  • Sun, Yan, 2017. "Asymptotic tests for interval-valued means," Statistics & Probability Letters, Elsevier, vol. 121(C), pages 70-77.
    • Handle: RePEc:eee:stapro:v:121:y:2017:i:c:p:70-77
    DOI: 10.1016/j.spl.2016.10.013
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    References listed on IDEAS

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    1. Yan Sun & Dan Ralescu, 2015. "A normal hierarchical model and minimum contrast estimation for random intervals," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 67(2), pages 313-333, April.
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    Cited by:

    1. Yan Sun & Guanghua Lian & Zudi Lu & Jennifer Loveland & Isaac Blackhurst, 2020. "Modeling the Variance of Return Intervals Toward Volatility Prediction," Journal of Time Series Analysis, Wiley Blackwell, vol. 41(4), pages 492-519, July.

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    1. Yan Sun & Guanghua Lian & Zudi Lu & Jennifer Loveland & Isaac Blackhurst, 2020. "Modeling the Variance of Return Intervals Toward Volatility Prediction," Journal of Time Series Analysis, Wiley Blackwell, vol. 41(4), pages 492-519, July.

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