Functional Mixed Effects Model for Small Area Estimation
نویسندگان
چکیده
منابع مشابه
Functional Mixed Effects Model for Small Area Estimation.
Functional data analysis has become an important area of research due to its ability of handling high dimensional and complex data structures. However, the development is limited in the context of linear mixed effect models, and in particular, for small area estimation. The linear mixed effect models are the backbone of small area estimation. In this article, we consider area level data, and fi...
متن کاملSupporting information for: “Functional Mixed Effects Model for Small Area Estimation”
Y = ZF bF +Wν + Υ, where W = (ZR,M0, · · · ,Mp) and ν = (bR, U 0 , U 1 , · · · , U p ) . Denote G = var(ν) = diag(cov(bR), In ⊗ Σu0, · · · , In ⊗ Σup) and cov(Y ) = Σ. Also, Σi = Σi(δ) = ZFicov(bR)Z Fi + cov(Ui0) + ∑p k=1 Diag(Xik) cov(Uik)Diag(Xik) + Ωi for i = 1, . . . , n. The estimator of bF is b̂F = (Z T FΣ ZF ) −1ZT FΣ −1Y and the predictor of ν is ν̂ = GW TΣ−1(Y − ZF b̂F ). The covariance m...
متن کاملSmall Area Estimation Using a Spatio-temporal Linear Mixed Model
• In this paper it is proposed a spatio-temporal area level linear mixed model involving spatially correlated and temporally autocorrelated random effects. An empirical best linear unbiased predictor (EBLUP) for small area parameters has been obtained under the proposed model. Using previous research in this area, analytical and bootstrap estimators of the mean squared prediction error (MSPE) o...
متن کاملComparison of Small Area Estimation Methods for Estimating Unemployment Rate
Extended Abstract. In recent years, needs for small area estimations have been greatly increased for large surveys particularly household surveys in Sta­ tistical Centre of Iran (SCI), because of the costs and respondent burden. The lack of suitable auxiliary variables between two decennial housing and popula­ tion census is a challenge for SCI in using these methods. In general, the...
متن کاملSome New Developments in Small Area Estimation
Small area estimation has received a lot of attention in recent years due to growing demand for reliable small area statistics. Traditional area-specific estimators may not provide adequate precision because sample sizes in small areas are seldom large enough. This makes it necessary to employ indirect estimators based on linking models. Basic area level and unit level models have been extensiv...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Scandinavian Journal of Statistics
سال: 2016
ISSN: 0303-6898,1467-9469
DOI: 10.1111/sjos.12218