大学数学
大學數學
대학수학
COLLEGE MATHEMATICS
2012年
6期
74-77
,共4页
单峰分布%双边检验%检验统计量%第二类错误
單峰分佈%雙邊檢驗%檢驗統計量%第二類錯誤
단봉분포%쌍변검험%검험통계량%제이류착오
unimodal distribution%two-sided test%test statistic%typeⅡ error
根据检验统计量的不同在两种情况下证明了单峰分布的最佳双边检验是存在且唯一的,同时给出了求参数最佳双边检验需满足的条件;并且将最佳双边检验与传统检验进行了比较.最后讨论了最佳双边检验与最短区间估计的关系.
根據檢驗統計量的不同在兩種情況下證明瞭單峰分佈的最佳雙邊檢驗是存在且唯一的,同時給齣瞭求參數最佳雙邊檢驗需滿足的條件;併且將最佳雙邊檢驗與傳統檢驗進行瞭比較.最後討論瞭最佳雙邊檢驗與最短區間估計的關繫.
근거검험통계량적불동재량충정황하증명료단봉분포적최가쌍변검험시존재차유일적,동시급출료구삼수최가쌍변검험수만족적조건;병차장최가쌍변검험여전통검험진행료비교.최후토론료최가쌍변검험여최단구간고계적관계.
Based on the two-sided hypothesis of unimodal sided test are proved according to the different test statistics Then the best two-sided test compares with the conventional distribution , the existence and uniqueness of the best two- At the same time, the necessary conditions are derived. one. Finally, the relationship is studied between the besttwo-sided test and the shortest interval estimation.