云南师范大学学报(自然科学版)
雲南師範大學學報(自然科學版)
운남사범대학학보(자연과학판)
JOURNAL OF YUNAN NORMAL UNIVERSITY(NATURAL SCIENCES EDITION)
2014年
4期
42-47
,共6页
双参数指数分布%可靠寿命%参数Bootstrap方法
雙參數指數分佈%可靠壽命%參數Bootstrap方法
쌍삼수지수분포%가고수명%삼수Bootstrap방법
Two-parameter exponential distribution%Reliability life%Parametric bootstrap method
针对双参数指数分布的截尾数据,利用一种新的参数Bootstrap方法,构建了可靠寿命的置信下限,并从理论上证明了给出的置信下限是精确的。在小样本情形下,通过比较新的参数 Bootstrap方法取得的置信下限与 Engelhardt-Bain方法取得的近似置信下限的覆盖率,发现参数 Bootstrap 置信下限更令人满意。
針對雙參數指數分佈的截尾數據,利用一種新的參數Bootstrap方法,構建瞭可靠壽命的置信下限,併從理論上證明瞭給齣的置信下限是精確的。在小樣本情形下,通過比較新的參數 Bootstrap方法取得的置信下限與 Engelhardt-Bain方法取得的近似置信下限的覆蓋率,髮現參數 Bootstrap 置信下限更令人滿意。
침대쌍삼수지수분포적절미수거,이용일충신적삼수Bootstrap방법,구건료가고수명적치신하한,병종이론상증명료급출적치신하한시정학적。재소양본정형하,통과비교신적삼수 Bootstrap방법취득적치신하한여 Engelhardt-Bain방법취득적근사치신하한적복개솔,발현삼수 Bootstrap 치신하한경령인만의。
For constructing lower confidence limit of reliability life of two-parameter exponential distribution,we propose a new parametric bootstrap method,which is conceptually simpler and straightforward than other methods previously considered in the literature.It is shown that the interval is exact,that is ,its coverage probability is equal to the required confidence level.For small sample,simulation study shows that compared to the approximate interval due to En-gelhardt-Bain,the coverage probability of the confidence interval based on the parametric boot-strap method is more satisfactory.