IJPAM: Volume 40, No. 1 (2007)
ON AN EMPIRICAL BAYES TEST FOR
TRUNCATION PARAMETERS USING NA SAMPLES
TRUNCATION PARAMETERS USING NA SAMPLES
Bao-Li Liu
, Hui-Guang Kang
, Yong Xu
Department of Computer Science and Technology
Northwestern Polytechnical University
Xi'an, Shaanxi, 710072, P.R. CHINA
Department of Mathematics
Anyang Teachers College
Anyang, Henan, 455000, P.R. CHINA
Department of Applied Mathematics
Northwestern Polytechnical University
Xi'an, Shaanxi, 710072, P.R. CHINA
e-mails: [email protected], [email protected]
, Hui-Guang Kang, Yong Xu
Department of Computer Science and Technology
Northwestern Polytechnical University
Xi'an, Shaanxi, 710072, P.R. CHINA
Department of Mathematics
Anyang Teachers College
Anyang, Henan, 455000, P.R. CHINA
Department of Applied Mathematics
Northwestern Polytechnical University
Xi'an, Shaanxi, 710072, P.R. CHINA
e-mails: [email protected], [email protected]
Abstract.An empirical Bayes test (EBT) is considered in the two-side truncation distribution family using NA samples. The kernal estimation of probability density is adopted to construct the EBT, and under some certain conditions the proposed EBT is asymptotic optimal. Finally, an example satisfying conditions of theorem is given.
Received: July 25, 2007
AMS Subject Classification: 62C12
Key Words and Phrases: NA samples, empirical Bayes test (EBT), Bayes risk, kernel function, asymptotic optimality
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 40
Issue: 1
