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题名Shrinkage Estimation of Location Parameter for Uniform Distribution Based on k-record Values
作者
发表日期2023-11-01
发表期刊Sankhya B
ISSN/eISSN0976-8386
卷号85期号:2页码:405-419
摘要

The outcomes of many real-life experiments are sequences of record-breaking data sets, where only observations that exceed (or only those that fall below) the current extreme value are recorded. Records are needed when it is difficult to obtain observations or when observations are being destroyed when subjected to an experimental test. Records are applied in many real-life applications, such as hydrology, industrial stress testing, demise of glaciers, crop production, meteorological analysis, sporting and athletic events, and oil and mining surveys. For instance, in the threshold modeling the observations are those that cross a certain threshold value. Effectively estimating the location parameters for equally likely (uniformly distributed) records is needed in many real-life experiments. The practice demonstrated that the widely used estimators, such as the best linear unbiased estimator (BLUE) and maximum likelihood estimator (MLE), have some defects. This manuscript improves the MLE and BLUE of the location parameters for uniformly distributed records by investigating the corresponding shrinkage estimator using prior information about the BLUE and MLE. To measure the accuracy and precision of the proposed shrinkage estimator, the bias and mean square error (MSE) of the proposed estimators are investigated that provide sufficient conditions to get unbiased estimator with minimum MSE. The numerical results demonstrated that the proposed estimator are dominating over the existing estimators.

关键词Best linear unbiased estimator Location parameter Maximum likelihood estimator Record values Shrinkage estimator Uniform distribution
DOI10.1007/s13571-023-00313-9
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收录类别ESCI
语种英语English
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:001082573500001
Scopus入藏号2-s2.0-85174177437
引用统计
被引频次:2[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/10908
专题理工科技学院
通讯作者Gupta, Shubham
作者单位
1.Indian Institute of Technology Dhanbad,Dhanbad,India
2.BNU-HKBU United International College,Zhuhai,China
3.Zagazig University,Zagazig,Egypt
推荐引用方式
GB/T 7714
Vishwakarma, Gajendra K.,Gupta, Shubham,Elsawah, A. M. Shrinkage Estimation of Location Parameter for Uniform Distribution Based on k-record Values[J]. Sankhya B, 2023, 85(2): 405-419.
APA Vishwakarma, Gajendra K., Gupta, Shubham, & Elsawah, A. M. (2023). Shrinkage Estimation of Location Parameter for Uniform Distribution Based on k-record Values. Sankhya B, 85(2), 405-419.
MLA Vishwakarma, Gajendra K.,et al."Shrinkage Estimation of Location Parameter for Uniform Distribution Based on k-record Values". Sankhya B 85.2(2023): 405-419.
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