• Title/Summary/Keyword: Small area statistics

Search Result 166, Processing Time 0.028 seconds

Small Area Estimation via Nonparametric Mixed Effects Model

  • Jeong, Seok-Oh;Shin, Key-Il
    • The Korean Journal of Applied Statistics
    • /
    • v.25 no.3
    • /
    • pp.457-464
    • /
    • 2012
  • Small area estimation is a statistical inference method to overcome the large variance due to the small sample size allocated in a small area. Recently some nonparametric estimators have been applied to small area estimation. In this study, we suggest a nonparametric mixed effect small area estimator using kernel smoothing and compare the small area estimators using labor statistics.

Evaluation of EBLUP-Type Estimator Based on a Logistic Linear Mixed Model for Small Area Unemployment (소지역 실업자수 추정을 위한 로지스틱 선형혼합모형 기반 EBLUP 타입 추정량 평가)

  • Kim, Seo-Young;Kwon, Soon-Pil
    • The Korean Journal of Applied Statistics
    • /
    • v.23 no.5
    • /
    • pp.891-908
    • /
    • 2010
  • In Korea, the small area estimation method is currently unpopular in generating o cial statistics. Because it may be difficult to determine the reliability for small area estimation, although small area estimation ha a sufficiently good advantage to generate small area statistics for Korea. This paper inspects the method of making small area unemployment through the small area estimation method. To estimate small area unemployment we used an EBLUP-type estimator based on a logistic linear mixed model. To evaluate the EBLUP-type estimator we accomplished the real data analysis and simulation experiment from the population and housing census data. In addition, small area estimates are compared to large sample survey estimates. We found the provided method in this paper is highly recommendable to generate small area unemployment as the official statistics.

A Small Area Estimation for Monthly Wage Using Mean Squared Percentage Error (MSPE를 이용한 임금총액 소지역 추정)

  • Hwang, Hee-Jin;Shin, Key-Il
    • The Korean Journal of Applied Statistics
    • /
    • v.22 no.2
    • /
    • pp.403-414
    • /
    • 2009
  • Many researches have been devoted to the small area estimation related with the area level statistics. Almost all of the small area estimation methods are derived based on minimization of mean squared error(MSE). Recently Hwang and Shin (2008) suggested an alternative small area estimation method by minimizing mean squared percentage error. In this paper we apply this small area estimation method to the labor statistics, especially monthly wages by a branch area of labor department. The Monthly Labor Survey data (2007) is used for analysis and comparison of these methods.

Shrinkage Small Area Estimation Using a Semiparametric Mixed Model (준모수혼합모형을 이용한 축소소지역추정)

  • Jeong, Seok-Oh;Choo, Manho;Shin, Key-Il
    • The Korean Journal of Applied Statistics
    • /
    • v.27 no.4
    • /
    • pp.605-617
    • /
    • 2014
  • Small area estimation is a statistical inference method to overcome large variance due to a small sample size allocated in a small area. A shrinkage estimator obtained by minimizing relative error(RE) instead of MSE has been suggested. The estimator takes advantage of good interpretation when the data range is large. A semiparametric estimator is also studied for small area estimation. In this study, we suggest a semiparametric shrinkage small area estimator and compare small area estimators using labor statistics.

On Application of Small Area Estimation to the Unemployment Statistics of Si-Gun-Gu (시군구 실업자 추정을 위한 소지역 추정법)

  • 이계오
    • The Korean Journal of Applied Statistics
    • /
    • v.13 no.2
    • /
    • pp.275-286
    • /
    • 2000
  • After commencing the local self~governing system. it has been requested to make statistics about Si-Gun-Gu level. and the necessity of unemployment statistics in Si-GunGu area has also been proposed as the unemployment became a political issue and social problem due to an I:YIF situation Throughout this paper, therefore, we suggest two small area estimations that can produce the unemployment statistics of Si-Gun-Gu based on the Current Population Survey In addition, we estimate the unemployment number of Si-Gun-Gu in ChungBuk area from the real data of the Current Population Survey. Finally, It was also proved that the applicability of small area estimation was valid in comparison with efficiency of small area estimations.

  • PDF

Semiparametric and Nonparametric Mixed Effects Models for Small Area Estimation (비모수와 준모수 혼합모형을 이용한 소지역 추정)

  • Jeong, Seok-Oh;Shin, Key-Il
    • The Korean Journal of Applied Statistics
    • /
    • v.26 no.1
    • /
    • pp.71-79
    • /
    • 2013
  • Semiparametric and nonparametric small area estimations have been studied to overcome a large variance due to a small sample size allocated in a small area. In this study, we investigate semiparametric and nonparametric mixed effect small area estimators using penalized spline and kernel smoothing methods respectively and compare their performances using labor statistics.

Application of In-direct Estimation for Small Area Statistics (소지역 통계 생산을 위한 추정방법)

  • Kim, Young-Won;Sung, Na-Young
    • Journal of the Korean Data and Information Science Society
    • /
    • v.11 no.1
    • /
    • pp.111-126
    • /
    • 2000
  • Small area estimation is becoming important in survey sampling due to a growing demand for reliable small area statistics. In estimating means, totals, and other parameters for small areas of a finite population, samplie sizes for small areas are typically small because the overall sample size is usually determined to provide specific accuracy at a much higher level of aggregation than that of small area. The usual direct estimators that use the only information which is gotten from the sample in a given small area provide unreliable estimates. However, indirect estimators utilize the information from the areas related with a given small area, that is, borrow strength from other related areas, and so give more accurate estimates than direct estimators. In this paper we investigate small area estimation methods such as synthetic, composite and empirical best linear unbiased prediction estimator, and apply them to real domestic data which is from the Survey of Hotels and Restaurants in In-Chon as of 1996 and then evaluate the performance of these methods by measuring average squared errors. This evaluation shows that indirect estimators, which are small area estimation methods, are more efficient than direct estimator.

  • PDF

Estimations of Forest Growing Stocks in Small-area Level Considering Local Forest Characteristics (산림의 지역적 특성을 고려한 시군구 임목축적량 통계 산출 기법 개발)

  • Kim, Eun-Sook;Kim, Cheol-Min
    • Journal of Korean Society of Forest Science
    • /
    • v.104 no.1
    • /
    • pp.117-126
    • /
    • 2015
  • Forest statistics of local administrative districts have many social needs, nevertheless we have some difficulties for working out an accurate statistics because of insufficient data in small-area level. Thus, new small-area estimation method has to set aside additional data, decrease errors of statistics and consider the local forest characteristics at the same time. In this study, we researched the spatial divisions that can set aside additional data for statistics production and satisfy the major premise, which is "forest characteristics of spatial divisions have to be equal to that of small-area". And we compared synthetic estimation methods based on three different spatial divisions(provinces, neighbor districts and new expanded districts). New expanded districts were divided based on the criteria of climate, soil type and tree species composition that affects local forest characteristics. Small-area statistics were assessed in terms of the ability to estimate local forest characteristics and consistency within large-area statistics. As a result, new expanded districts synthetic estimation was assessed to calculate statistics that reflects local forest characteristics better than other two estimation methods. Moreover, this synthetic estimation method produced the statistics that was included within 95% confidence interval of large-area statistics and was the closer to large-area statistics than the neighbor districts synthetic estimation.

Small Area Estimation of Unemployment Rate for the Economically Active Population Survey

  • Kim, Young-Won;Jo, Ran
    • Journal of the Korean Data and Information Science Society
    • /
    • v.15 no.1
    • /
    • pp.1-10
    • /
    • 2004
  • In the Korean Economically Active Population Survey(EAPS), the sample sizes for small areas are typically too small to provide reliable estimators because the EAPS has been designed to produce unemployment statistics for large areas such as Metropolitan Cities and Province. In this study, we consider the synthetic and composite estimators for the unemployment rate of small areas, and apply them to real data on Choongbook province which is from the Korean EAPS of December 2000. The mean square errors of these estimators were estimated by the Jackknife method, and the efficiencies of small area estimators were evaluated in terms of the relative standard errors and the relative root mean square errors. As a result, the composite estimator is much more efficient than other estimators and it turns out that the composite estimator can produce the reliable estimates of the unemployment rate of small areas under the current EAPS system.

  • PDF

Shrinkage Prediction for Small Area Estimations (축소예측을 이용한 소지역 추정)

  • Hwang, Hee-Jin;Shin, Key-Il
    • The Korean Journal of Applied Statistics
    • /
    • v.21 no.1
    • /
    • pp.109-123
    • /
    • 2008
  • Many small area estimation methods have been suggested. Also for the comparison of the estimation methods, model diagnostic checking techniques have been studied. Almost all of the small area estimators were developed by minimizing MSE(Mean square error) and so the MSE is the well-known comparison criterion for superiority. In this paper we suggested a new small area estimator based on minimizing MSPE(Mean square percentage error) which is recently re-highlighted. Also we compared the new suggested estimator with the estimators explained in Shin et al. (2007) using MSE, MSPE and other diagnostic checking criteria.