CAJ | 학술논문

万方数据

纯粹数学与应用数学 순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2009年 4期 764-769,773 ,共7页

李乃医%刘华祥%陈入云%杜军李迺醫%劉華祥%陳入雲%杜軍

리내의%류화상%진입운%두군

完全随机缺失%经验贝叶斯检验%渐近最优性%收敛速度完全隨機缺失%經驗貝葉斯檢驗%漸近最優性%收斂速度
완전수궤결실%경험패협사검험%점근최우성%수렴속도
MCAR%Empirical Bayes test%asympototic optimality%convergence rates

在完全随机缺失机制下构造了伽玛分布参数的经验贝叶斯检验函数,并获得了它的渐进最优性.在适当的条件下证明了所提出的经验贝叶斯检验函数收敛速度可任意接近O(n(~(-1/2)).
재완전수궤결실궤제하구조료가마분포삼수적경험패협사검험함수,병획득료타적점진최우성.재괄당적조건하증명료소제출적경험패협사검험함수수렴속도가임의접근O(n(~(-1/2)).
In MCAR,the Empirical Bayes two-sided test rules for parameter of the gamma distribution family are constructed,and the asymptotically optimal property is obtained. It is shown that the convergence rates of the proposed EB test rules can arbitrarily close to O(n~(-1/2)) under suitable conditions.