摘要
建立了不完全区间数据秩统计量的概率密度函数和联合概率密度函数,给出了其平均秩、中位秩和百分位秩以及不完全区间数据统计量的均值、方差和协方差计算公式.在此基础上,针对位置-尺度分布族提出一种不完全区间数据最佳线性无偏估计方法,得到了其百分位值的置信限估计,并对工程中常见的极值分布、两参数Weibull分布、正态分布进行了详细讨论.
The probability density function and joint probability density function of rank statistics for incomplete interval censored data are established, including the formulas of mean ranks, median ranks and percent ranks of rank statistics; furthermore, the means, variances and covariances of statistics for incomplete interval censored data are given in the paper. According to this, the best linear unbiased estimate method of location-scale distribution for incomplete interval censored data is presented, the confidence limits of percentiles for the incomplete interval censored data are obtained, and extreme value distribution, two-parameter Weibull distribution, normal distribution are discussed in detail.
出处
《航空动力学报》
EI
CAS
CSCD
北大核心
2007年第7期1025-1029,共5页
Journal of Aerospace Power
基金
国家自然科学基金项目(10472006)
北京市教育委员会共建项目(XK100060418)
关键词
航空
航天推进系统
不完全区间数据
秩统计量
概率密度函数
最佳线性无偏估计
均值
方差
协方差
aerospace propulsion system
incomplete interval censored data
rank statistic
probability density function
best linear unbiased estimate
mean
variance
covariance
