伊犁师范学院学报(自然科学版)
伊犛師範學院學報(自然科學版)
이리사범학원학보(자연과학판)
JOURNAL OF ILI NORMAL UNIVERSITY
2014年
1期
9-14
,共6页
黄金超%郭栋%许庆兵
黃金超%郭棟%許慶兵
황금초%곽동%허경병
密度函数的核估计%经验Bayes检验%渐近最优性%收敛速度%两两NQD序列
密度函數的覈估計%經驗Bayes檢驗%漸近最優性%收斂速度%兩兩NQD序列
밀도함수적핵고계%경험Bayes검험%점근최우성%수렴속도%량량NQD서렬
the kernel estimation of density function%the Empirical Bayes test%asymptotic optimality%convergence rates%NQD samples
在“线性损失”下,基于两两NQD样本序列情形研究了威布尔分布族刻度参数经验 Bayes(EB)检验问题,首先利用概率密度函数的核估计,构造了刻度参数的经验 Bayes 检验函数,在适当的条件下,证明了所提出的经验Bayes检验函数的渐近最优(a.o.)性,并获得了它的收敛速度.
在“線性損失”下,基于兩兩NQD樣本序列情形研究瞭威佈爾分佈族刻度參數經驗 Bayes(EB)檢驗問題,首先利用概率密度函數的覈估計,構造瞭刻度參數的經驗 Bayes 檢驗函數,在適噹的條件下,證明瞭所提齣的經驗Bayes檢驗函數的漸近最優(a.o.)性,併穫得瞭它的收斂速度.
재“선성손실”하,기우량량NQD양본서렬정형연구료위포이분포족각도삼수경험 Bayes(EB)검험문제,수선이용개솔밀도함수적핵고계,구조료각도삼수적경험 Bayes 검험함수,재괄당적조건하,증명료소제출적경험Bayes검험함수적점근최우(a.o.)성,병획득료타적수렴속도.
In this paper, the Empirical Bayes (EB) test of scale parameter for Weibull distribution Families in the case of identically distributed and NQD samples are investigated under linear loss and weighted square loss Functions by using kernel-type density estimation. The Empirical Bayes test rules are constructed. The asymptotically optional property and convergence rates for the proposed EB test rules are obtained under suitable conditions.