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On asymptotic normality of certain linear rank statistics

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  • Skorniakov, V.

Abstract

We consider asymptotic normality of linear rank statistics under various randomization rules met in clinical trials. Exposition relies on some general limit theorem given in McLeish (1974). Examples of applications include well known results as well as new ones. Though exposition is tightly attached to the context of clinical trials, the obtained results equally well apply to situations where randomization of similar kind takes place.

Suggested Citation

  • Skorniakov, V., 2019. "On asymptotic normality of certain linear rank statistics," Statistics & Probability Letters, Elsevier, vol. 145(C), pages 63-73.
    • Handle: RePEc:eee:stapro:v:145:y:2019:i:c:p:63-73
    DOI: 10.1016/j.spl.2018.08.016
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    References listed on IDEAS

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    1. Davidson, James, 1994. "Stochastic Limit Theory: An Introduction for Econometricians," OUP Catalogue, Oxford University Press, number 9780198774037.
    2. Zhang, Yanqiong & Rosenberger, William F., 2005. "On linear rank tests for truncated binomial randomization," Statistics & Probability Letters, Elsevier, vol. 72(1), pages 83-92, April.
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