• Title/Summary/Keyword: 불균등확률추출

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불균등확률 계통추출에서 분산추정

  • 홍태경;남궁 평
    • Proceedings of the Korean Statistical Society Conference
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    • 2004.11a
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    • pp.155-160
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    • 2004
  • 불균등 확률 계통추출에서는 모집단 총합에 대한 Horvitz-Thompson 추정량의 대안적 분산 추정량들을 사용하게 된다. 이와 같은 모총합에 관한 분산 추정량들의 설계와 관련한 일반적인 방법은 균등 확률 계통추출에 대한 분산 추정량들에서 시작하고 비율 $y_i,/P_i$에 의한 추정량의 정의에서 $y_i$를 재배치하게 한다. 비선형 조사 통계학에서 추정량들 중의 하나로 테일러 급수 공식을 적용한다. 불균등 확률 계통추출에서의 분산은 8가지 방법으로 추정이 가능하므로 이를 이용한 분산추정량을 구해보고, 비복원 불균등 확률에서의 jackknife방법을 살펴보고자 한다. 또한 이들 분산추정량들에 대한 비교를 몇 가지 방법을 이용하여 알아보도록 한다.

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A study on unequal probability sampling over two successive occasions in time series (시계열 계속 표본조사에서 불균등확률 추출법 연구)

  • 박홍래;이계오
    • The Korean Journal of Applied Statistics
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    • v.6 no.1
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    • pp.145-162
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    • 1993
  • We review sampling schemes on successive occasions with partial replacement of units and propose a Rao-Hartley-Cochran(RHC) type's sampling scheme over two successive occasions with probability proportionate to observations on the previous occasion. For comparison of the reviewed and proposed sampling schemes, optimal estimator of population mean on second occasion and its variance are derived. The relative efficiency of the proposed sampling scheme is compared with other equal and unequal probability sampling scheme by theoretical and numerical simulation study. For simulation study, three artificial populations are generated by a time series model. It is observed that RHC type's sampling scheme has small variance and deviation in general.

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불균등확률표본에서 붓스트랩

  • 정주경;김규성
    • Proceedings of the Korean Statistical Society Conference
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    • 2000.11a
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    • pp.39-43
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    • 2000
  • 분산 추정 및 신뢰구간 추정의 한 방법으로 널리 쓰이고 있는 붓스트랩 방법을 복합표본에 적용하는 방법에 대해 알아보았다. 복합 표본은 유한 모집단에서 추출되고 추출확률이 다르기 때문에 i.i.d. 표본에 기초하여 개발된 전통적인 붓스트랩 방법을 직접 적용하면 추론의 오류가 발생할 수 있다. 본 연구에서는 복원 확률비례표본과 랜덤그룹표본에 붓스트랩을 적용하는 방법을 알아보았다.

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농가경제조사를 위한 표본설계

  • Sin, Min-Ung;Lee, Gye-O;Hong, Gi-Hak;Lee, Gi-Jae
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.11a
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    • pp.13-18
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    • 2002
  • 본 논문에서는 급변하는 농촌의 환경을 충분히 반영할 수 있도록 1997년도에 설계되어 사용되고 있는 현행의 농가경제조사를 개선하였다. 새로운 표본 조사구를 선정하기 위하여 1999년도와 2000년도 농가경제조사 조사데이터와 2000년에 실시된 농어업총조사 결과를 심도 있게 분석하였다. 이를 기초로 현재의 농촌 실정에 적합한 조사모집단을 새롭게 구성하였고, 현재의 농촌 환경을 반영할 수 있는 층화 기준을 마련하여 표본 조사구를 추출하였다. 또한, 논벼를 비롯한 6개 주요작물들에 대한 농산물생산비조사의 정도(精度) 향상을 위해서 각 작물별 주산지를 표본 조사구로 선정하였다.

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Understanding Complex Design Features via Design Effect Models (설계효과모형을 통한 설계요소의 유용성 이해)

  • Park, Inho
    • The Korean Journal of Applied Statistics
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    • v.28 no.6
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    • pp.1217-1225
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    • 2015
  • Survey research, data is commonly collected through a sample design with complex design features that allow the relative efficiency on the precision of an estimator to be measured using the concept of the design effect compared to simple random sampling as a reference design. This concept is most useful when the design effect can be expressed as a function of various design features. We propose a design effect formula suitable under a stratified multistage sampling by generalizing Gabler et al. (1999, 2006)'s approaches for multistage sampling. Its use can either guide improvement in the design efficiency when in design stage or enable the evaluation of the adopted design features afterwards.

Error cause analysis of Pearson test statistics for k-population homogeneity test (k-모집단 동질성검정에서 피어슨검정의 오차성분 분석에 관한 연구)

  • Heo, Sunyeong
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.815-824
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    • 2013
  • Traditional Pearson chi-squared test is not appropriate for the data collected by the complex sample design. When one uses the traditional Pearson chi-squared test to the complex sample categorical data, it may give wrong test results, and the error may occur not only due to the biased variance estimators but also due to the biased point estimators of cell proportions. In this study, the design based consistent Wald test statistics was derived for k-population homogeneity test, and the traditional Pearson chi-squared test statistics was partitioned into three parts according to the causes of error; the error due to the bias of variance estimator, the error due to the bias of cell proportion estimator, and the unseparated error due to the both bias of variance estimator and bias of cell proportion estimator. An analysis was conducted for empirical results of the relative size of each error component to the Pearson chi-squared test statistics. The second year data from the fourth Korean national health and nutrition examination survey (KNHANES, IV-2) was used for the analysis. The empirical results show that the relative size of error from the bias of variance estimator was relatively larger than the size of error from the bias of cell proportion estimator, but its degrees were different variable by variable.

Wave Analysis and Spectrum Estimation for the Optimal Design of the Wave Energy Converter in the Hupo Coastal Sea (파력발전장치 설계를 위한후포 연안의 파랑 분석 및 스펙트럼 추정)

  • Kweon, Hyuck-Min;Cho, Hongyeon;Jeong, Weon-Mu
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.25 no.3
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    • pp.147-153
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    • 2013
  • There exist various types of the WEC (Wave Energy Converter), and among them, the point absorber is the most popularly investigated type. However, it is difficult to find examples of systematically measured data analysis for the design of the point absorber type of power buoy in the world. The study investigates the wave load acting on the point absorber type resonance power buoy wave energy extraction system proposed by Kweon et al. (2010). This study analyzes the time series spectra with respect to the three-year wave data (2002.05.01~2005.03.29) measured using the pressure type wave gage at the seaside of north breakwater of Hupo harbor located in the east coast of the Korean peninsula. From the analysis results, it could be deduced that monthly wave period and wave height variations were apparent and that monthly wave powers were unevenly distributed annually. The average wave steepness of the usual wave was 0.01, lower than that of the wind wave range of 0.02-0.04. The mode of the average wave period has the value of 5.31 sec, while mode of the wave height of the applicable period has the value of 0.29 m. The occurrence probability of the peak period is a bi-modal type, with a mode value between 4.47 sec and 6.78 sec. The design wave period can be selected from the above four values of 0.01, 5.31, 4.47, 6.78. About 95% of measured wave heights are below 1 m. Through this study, it was found that a resonance power buoy system is necessary in coastal areas with low wave energy and that the optimal design for overcoming the uneven monthly distribution of wave power is a major task in the development of a WEF (Wave Energy Farm). Finding it impossible to express the average spectrum of the usual wave in terms of the standard spectrum equation, this study proposes a new spectrum equation with three parameters, with which basic data for the prediction of the power production using wave power buoy and the fatigue analysis of the system can be given.