• Title/Summary/Keyword: centered systematic sampling

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An Estimator of Population Mean Based on Balanced Systematic Sampling When Both the Sample Size and the Reciprocal of the Sampling Fraction are Odd Numbers

  • Kim, Hyuk-Joo
    • Communications for Statistical Applications and Methods
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    • v.14 no.3
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    • pp.667-677
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    • 2007
  • In this paper, we propose a method for estimating the mean of a population which has a linear trend, when both n, the sample size, and k, the reciprocal of the sampling fraction, are odd numbers. The proposed method, not having the drawbacks of centered systematic sampling, centered modified sampling and centered balanced sampling, consists of selecting a sample by balanced systematic sampling and estimating the population mean by using interpolation. We compare the efficiency of the proposed method and existing methods under the criterion of the expected mean square error based on the infinite superpopulation model.

A New Estimator of Population Mean Based on Centered Balanced Systematic Sampling

  • Kim, Hyuk-Joo
    • Journal of the Korean Data and Information Science Society
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    • v.11 no.1
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    • pp.91-101
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    • 2000
  • We propose a new method for estimating the mean of a population which has a linear trend. The suggested estimator is based on the centered balanced systematic sampling method and the concept of interpolation and extrapolation. The efficiency of the proposed method is compared with that of existing methods.

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Efficient Estimation of Population Mean Using Centered Modified Systematic Sampling and Interpolation

  • Kim, Hyuk-Joo;Choi, Byoung-Chul
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.175-185
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    • 2002
  • A method is proposed for efficiently estimating the mean of a population which has a linear trend. The proposed estimator is based on the centered modified systematic sampling method and the concept of interpolation. Using the expected mean square error criterion, it is shown that the proposed method is more efficient than conventional methods in most real cases.

Estimation of Population Mean Using Centered Modified Systematic Sampling and Interpolation

  • Kim, Hyuk-Joo;Choi, Byoung-Chul
    • 한국데이터정보과학회:학술대회논문집
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    • 2001.10a
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    • pp.17-24
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    • 2001
  • A method is proposed for efficiently estimating the mean of a population which has a linear trend. The proposed estimator is based on the centered modified systematic sampling method and the concept or interpolation. Using the expected mean square error criterion, it is shown that the proposed method is more efficient than conventional methods in most real cases.

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A Second Type of Centered Balanced Systematic Sampling Method

  • Hyuk Joo Kim
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.743-752
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    • 1997
  • Kim (1985) proposed the so-called "centered balanced systematic sampling" for estimating the mean of a population with a linear trend. In this paper, a version of this sampling method is proposed. It is shown that this version is as efficient as the original method from the viewpoint of the expected mean square error criterion. It is also shown to be quite an efficient method as compared with other existing methods.g methods.

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On the Effectiveness of Centering, Interpolation and Extrapolation in Estimating the Mean of a Population with Linear Trend

  • Kim, Hyuk-Joo;Jung, Sun-Ju
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.2
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    • pp.365-379
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    • 2002
  • We apply the techniques of interpolation and extrapolation to derive a new estimator based on centered modified systematic sampling for the mean of a population which has a linear trend. The efficiency of the proposed estimation method is compared with that of various existing methods. An illustrative numerical example is given.

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On Centralizing the Modified Systematic Sampling Method for Populations with Linear Trends

  • Kim, Hyuk-Joo
    • Communications for Statistical Applications and Methods
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    • v.6 no.2
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    • pp.457-466
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    • 1999
  • Centered modified systematic sampling (CMSS)' was proposed by Kim(1985) for estimating the mean of a population with a linear trend. In the present paper a version of this sampling method is suggested. This version turns out to be efficient in the same degree as the original method from the viewpoint of the expected mean square error criterion. It is also shown to be quite an efficient method as compared with other existing methods. An illustrative example is given.

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Efficient Estimation of the Mean for Populations with a Linear Trend : An Extension of Systematic Sampling (선형추세를 갖는 모집단에 대한 효율적인 모평균 추정 : 계통추출의 확장)

  • 김혁주;석은양
    • The Korean Journal of Applied Statistics
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    • v.13 no.2
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    • pp.457-476
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    • 2000
  • In this study, we have proposed a sampling method and an estimation method for efficiently estimating the mean of a population which has a linear trend. These methods involve drawing a sample by the so-called "centered balanced systematic sampling", which is an extension of systematic sampling, and then estimating the population mean with an adjusted estimator, not with the sample mean itself. We used the concept of interpolation in determining the adjusted estimator.\Ve compared the efficiency of the proposed estimator with those of the estimators from existing methods, under the expected mean square error criterion based on the infinite superpopulation model introduced by Cochran(1946). The proposed method is for use in the case when the sample size n(2 5) is an odd number and k(the reciprocal of the sampling fraction) is an even number. A good result was also obtained in an example using computer simulation. simulation.

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Constraints on cosmology and baryonic feedback by the combined analysis of weak lensing and galaxy clustering with the Deep Lens Survey

  • Yoon, Mijin;Jee, M. James;Tyson, Tony
    • The Bulletin of The Korean Astronomical Society
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    • v.43 no.2
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    • pp.41.1-41.1
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    • 2018
  • We constrain cosmological parameters by combining three different power spectra measured from galaxy clustering, galaxy-galaxy lensing, and cosmic shear using the Deep Lens Survey (DLS). Two lens bins (centered at z~0.27 and 0.54) and two source bins (centered at z~0.64, and 1.1) containing more than one million galaxies are selected to measure the power spectra. We re-calibrate the initial photo-z estimation of the lens bins by matching with SHELS and PRIMUS and confirm its fidelity by measuring a cross-correlation between the bins. We also check the reliability of the lensing signals through the null tests, lens-source flipping and cross shear measurement. Residual systematic errors from photometric redshift and shear calibration uncertainties are marginalized over in the nested sampling during our parameter constraint process. For the flat LCDM model, we determine S_8=sigma_8(Omega_m/0.3)^0.5=0.832+-0.028, which is in great agreement with the Planck data. We also verify that the two independent constraints from the cosmic shear and the galaxy clustering+galaxy-galaxy lensing measurements are consistent with each other. To address baryonic feedback effects on small scales, we marginalize over a baryonic feedback parameter, which we are able to constrain with the DLS data alone and more tightly when combined with Planck data. The constrained value hints at the possibility that the AGN feedback in the current OWLS simulations might not be strong enough.

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