Convergence Rate of Empirical Bayes for Two-Parameter Exponential Distribution with Replicated Data
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@Article{CMR-26-211,
author = {Li , Naiyi},
title = {Convergence Rate of Empirical Bayes for Two-Parameter Exponential Distribution with Replicated Data},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {26},
number = {3},
pages = {211--218},
abstract = {
In this paper, empirical Bayes test for a parameter $θ$ of two-parameter exponential distribution is investigated with replicated past data. Under some conditions, the asymptotically optimal property is obtained. It is indicated that the rate of convergence can be very close to $O(N^{−\frac{1}{2}})$ in this case that a parameter $µ$ is known.
}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19153.html} }
TY - JOUR
T1 - Convergence Rate of Empirical Bayes for Two-Parameter Exponential Distribution with Replicated Data
AU - Li , Naiyi
JO - Communications in Mathematical Research
VL - 3
SP - 211
EP - 218
PY - 2021
DA - 2021/05
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19153.html
KW - replicated data, empirical Bayes, asymptotic optimality.
AB -
In this paper, empirical Bayes test for a parameter $θ$ of two-parameter exponential distribution is investigated with replicated past data. Under some conditions, the asymptotically optimal property is obtained. It is indicated that the rate of convergence can be very close to $O(N^{−\frac{1}{2}})$ in this case that a parameter $µ$ is known.
Li , Naiyi. (2021). Convergence Rate of Empirical Bayes for Two-Parameter Exponential Distribution with Replicated Data.
Communications in Mathematical Research . 26 (3).
211-218.
doi:
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