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 - <p style="text-align: justify;">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.</p>