期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
排序集抽样下随机删失数据的乘积限估计
- 河北经贸大学 数学与统计学学院, 河北 石家庄 050061
-
DOI：10.13763/j.cnki.jhebnu.nse.2016.02.004
Product-limit Estimation of Random Censored Data Under Ranked Set Sampling
摘要/Abstract
摘要：
为了估计未知总体的生存函数,提出排序集抽样下随机删失数据的乘积限估计量,证明了新估计量的强相合性,确定了其强收敛速度,并与简单随机抽样下相应估计量进行估计效率的比较,结果表明排序集抽样效率高于简单随机抽样.最后,对生态环境的一组真实数据进行了实际应用.
Abstract：
To estimate the survival function of an infinite population,a product-limit estimator of random censored data under ranked set sampling is proposed.Its strong consistency is proved,and its strong convergence rate is identified.According to compare the estimation efficiencies of the two product-limit estimators under ranked set sampling and simple random sampling,the ranked set sampling is shown to be more efficient than the simple random sampling.Finally,we make a practical application for a real data set related to ecological environment.
关键词
Key words：
ranked set sampling
;
random censored data
;
survival function
;
product-limit estimation
参考文献 11
- [1] MCINTYRE G A.A Method for Unbiased Selective Sampling Using Ranked Sets[J].Australian Journal of Agricultural Research,1952,3:385-390.doi:10.1071/AR9520385
- [2] RISCH N,ZHANG H.Extreme Discordant Sib Pairs for Mapping Quantitative Trait Loci in Humans[J].Science,1995,268:1584-1589.doi:10.1126/science.7777857
- [3] WOLFE D A.Ranked Set Sampling:An Approach to More Efficient Data Collection[J].Statistical Science,2004,19:636-643.doi:10.1214/088342304000000369
- [4] BOCCI C,PETRUCCI A,ROCCO E.Ranked Set Sampling Allocation Models for Multiple Skewed Variables:An Application to Agricultural Data[J].Environmental and Ecological Statistics,2010,17:333-345.doi:10.1007/s10651-009-0110-7
- [5] CHEN Z,BAI Z,SINHA B K.Ranked Set Sampling-theory and Application[M].New York:Springer,2004.
- [6] AHMAD M,HANIF M,MUTTLAK H A.Ranked Set Sampling[M].Newcastle:Cambridge Scholars Publishing,2010.
- [7] 董晓芳,张良勇,徐兴忠.随机刪失模型下排序集样本的非参数估计与应用[J].统计与决策,2014,22:72-74.doi:10.3969/j.issn.1002-6487.2014.22.0072.03
- [8] KAPLAN E L,MEIER P.Nonparametric Estimation from Incomplete Observations[J].Journal of American Statistical Association,1958,53:457-481.doi:10.2307/2281868
- [9] PETERSON A V.Expression the Kaplan-meier Estimator as a Function of Empirical Subsurvival Function[J].Journal of American Statistical Association,1977,72:854-858.doi:10.1080/01621459.1977.10479970
- [10] FOLDES A,REJTO L.Strong Uniform Consistency for Nonparametric Survival Curve Estimators from Randomly Censored Data[J].The Annals of Statistics,1981,9:122-129.doi:10.1214/aos/1176345337
- [11] LEE L,KRUTCHOFF R G.Mean and Variance of Partially-truncated Distributions[J].Biometrics,1980,36:531-536.doi:10.2307/2530222