Volume 27, Issue 1
Empirical Bayes Test for the Parameter of Rayleigh Distribution with Error of Measurement

Commun. Math. Res., 27 (2011), pp. 17-23.

Published online: 2021-05

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• Abstract

For the data with error of measurement in historical samples, the empirical Bayes test rule for the parameter of Rayleigh distribution is constructed, and the asymptotically optimal property is obtained. It is shown that the convergence rate of the proposed EB test rule can be arbitrarily close to $O(n^{−\frac{1}{2}})$ under suitable conditions.

• Keywords

error of measurement, empirical Bayes, asymptotic optimality, convergence rate.

62C12, 62F12

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@Article{CMR-27-17, author = {Juan and Huang and and 18341 and and Juan Huang}, title = {Empirical Bayes Test for the Parameter of Rayleigh Distribution with Error of Measurement}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {1}, pages = {17--23}, abstract = {

For the data with error of measurement in historical samples, the empirical Bayes test rule for the parameter of Rayleigh distribution is constructed, and the asymptotically optimal property is obtained. It is shown that the convergence rate of the proposed EB test rule can be arbitrarily close to $O(n^{−\frac{1}{2}})$ under suitable conditions.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19104.html} }
TY - JOUR T1 - Empirical Bayes Test for the Parameter of Rayleigh Distribution with Error of Measurement AU - Huang , Juan JO - Communications in Mathematical Research VL - 1 SP - 17 EP - 23 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19104.html KW - error of measurement, empirical Bayes, asymptotic optimality, convergence rate. AB -

For the data with error of measurement in historical samples, the empirical Bayes test rule for the parameter of Rayleigh distribution is constructed, and the asymptotically optimal property is obtained. It is shown that the convergence rate of the proposed EB test rule can be arbitrarily close to $O(n^{−\frac{1}{2}})$ under suitable conditions.

Juan Huang. (2021). Empirical Bayes Test for the Parameter of Rayleigh Distribution with Error of Measurement. Communications in Mathematical Research . 27 (1). 17-23. doi:
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