جلد 18، شماره 1 - ( 4-1398 )                   جلد 18 شماره 1 صفحات 17-51 | برگشت به فهرست نسخه ها


XML English Abstract Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Shiferaw Y, Galpin J. A Corrected Confidence Interval for a Small Area Parameter through the Weighted Estimator under the Basic Area Level Model. JIRSS. 2019; 18 (1) :17-51
URL: http://jirss.irstat.ir/article-1-440-fa.html
A Corrected Confidence Interval for a Small Area Parameter through the Weighted Estimator under the Basic Area Level Model. پژوهشنامه انجمن آمار ایران. 1398; 18 (1) :17-51

URL: http://jirss.irstat.ir/article-1-440-fa.html


چکیده:   (1412 مشاهده)

Area level linear mixed models can be generally applied to produce small area indirect estimators when only aggregated data such as sample means are available. This paper tries to fill an important research gap in small area estimation literature, the problem of constructing confidence intervals (CIs) when the estimated variance of the random effect as well as the estimated mean squared error (MSE) is negative. More precisely, the coverage accuracy of the proposed CI is of the order O(m)-3/2, where m is the number of sampled areas. The performance of the proposed method is illustrated with respect to coverage probability (CP) and average length (AL) using a simulation experiment. Simulation results demonstrate the superiority of the proposed method over existing naive CIs. In addition, the proposed CI based on the weighted estimator is comparable with the existing corrected CIs based on empirical best linear unbiased predictor (EBLUP) in the literature.

متن کامل [PDF 192 kb]   (132 دریافت)    
نوع مطالعه: Original Paper | موضوع مقاله: 62Dxx: Sampling theory, sample surveys
دریافت: ۱۳۹۶/۴/۱۹ | پذیرش: ۱۳۹۷/۲/۳ | انتشار: ۱۳۹۷/۲/۳

کلیه حقوق این وب سایت متعلق به پژوهشنامه انجمن آمار ایران می باشد.

طراحی و برنامه نویسی : یکتاوب افزار شرق

© 2019 All Rights Reserved | Journal of The Iranian Statistical Society

Designed & Developed by : Yektaweb