• Title/Summary/Keyword: 모집단 추정

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Bayesian Estimation of k-Population Weibull Distribution Under Ordered Scale Parameters (순서를 갖는 척도모수들의 사전정보 하에 k-모집단 와이블분포의 베이지안 모수추정)

  • 손영숙;김성욱
    • The Korean Journal of Applied Statistics
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    • v.16 no.2
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    • pp.273-282
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    • 2003
  • The problem of estimating the parameters of k-population Weibull distributions is discussed under the prior of ordered scale parameters. Parameters are estimated by the Gibbs sampling method. Since the conditional posterior distribution of the shape parameter in the Gibbs sampler is not log-concave, the shape parameter is generated by the adaptive rejection sampling. Finally, we applied this estimation methodology to the data discussed in Nelson (1970).

On asymptotics for a bias-corrected version of the NPMLE of the probability of discovering a new species (신종발견확률의 편의보정 비모수 최우추정량에 관한 연구)

  • 이주호
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.341-353
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    • 1993
  • As an estimator of the conditional probability of discovering a new species at the next observation after a sample of certain size is taken, the one proposed by Good(1953) has been most widely used. Recently, Clayton and Frees(1987) showed via simulation that their nonparametric maximum likelihood estimator(NPMLE) has smaller MSE than Good's estimator when the population is relatively nonuniform. Lee(1989) proved that their conjecture is asymptotically true for truncated geometric population distributions. One shortcoming of the NPMLE, however, is that it has a considerable amount of negative bias. In this study we proposed a bias-corrected version of the NPMLE for virtually all realistic population distributions. We also showed that it has a smaller asymptotic MSE than Good's extimator except when the population is very uniform. A Monte Carlo simulation was performed for small sample sizes, and the result supports the asymptotic results.

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네트? 샘플링에서 응답오차를 고려한 중복수 추정량

  • 김규성;이기재;박진우;김영원
    • Communications for Statistical Applications and Methods
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    • v.3 no.1
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    • pp.101-109
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    • 1996
  • 네트웍 샘플링은 회귀한 속성을 갖는 모집단에서 유용한 표본조사방법이다. 기존의 중복수 추정량(multiplicity estimator)은 네트웍 샘플링의 특징을 반영하는 추정량으로 응답오차를 고려하지 않은 경우에 이용되었다. 본 논문에서는 응답오차를 고려한 경우와 이용할 수 있는 수정된 중복수 추정량을 제안하였다. 그리고 제안된 추정량의 기대값과 근사기대분산(approximate expexted variance)을 유도하였으며, 제안된 추정량이 기존의 모총수 추정량보다 화과적임을 가상모집단을 통하여 보였다.

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The Estimation of the Population by Using the Estimated Appropriate Rate Based on Customized Classification of Agriculture, Livestock and Food Industry (농축산식품산업 특수분류 기반 추정적격률을 이용한 모집단 추정 )

  • Wee Seong Seung;Lee MinCheol;Kim Jin Min;Shin Yong Tae
    • KIPS Transactions on Software and Data Engineering
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    • v.12 no.3
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    • pp.117-124
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    • 2023
  • Through reorganization in 2008, The ministry of Agriculture, Food and Rural Affairs integrated management of the food industry by transferred functions which was scattered in the Ministry of Health and Welfare, and established comprehensive policies covering the primary, secondary, and tertiary industries. In the agricultural industry sector, new business concepts such as smart farm and food tech have recently emerged alongside the fourth industrial revolution. In order for the Ministry of Agriculture, Food, and Rural Affairs to develop appropriate policies for the fourth industrial revolution, it is necessary to accurately estimate the size of agricultural and livestock-related businesses. In 2017, the Ministry of Agriculture, Food, and Rural Affairs initiated research for the agriculture, livestock and food industry's special classification, which was approved by the National Statistical Office in 2020. The estimation of the agriculture, livestock and food industry's size based on special classification is crucial because it has a substantial impact on the formulation and significance of policies. In this paper, the appropriate rate was derived from samples extracted from the special classification and the Korean standard industrial classification. Proposed are a method for estimating the population of the agricultural and livestock food industry, as well as a method for calculating the appropriate rate that more accurately reflects the population than the method currently in use.

Improved Spectral-reflectance(SR) Estimation Using Set of Principle Components Separately Organized for Each SR Population with Similar SRs (유사 분광반사율 모집단별로 구성된 주성분 집합을 이용한 개선된 분광반사율 추정)

  • 권오설;이철희;이호근;하영호
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.40 no.2
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    • pp.11-19
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    • 2003
  • This paper proposes an algorithm to reduce the estimation error of surface spectral-reflectance(SR) using a conventional 3-band RGB camera. In the proposed method, estimation error can be reduced by using adaptive principal components(PCs) for each color region. In order to build adaptive set of PCs, n SR populations are organized for n PC sets by using Lloyd quantizer design algorithm. Macbetch ColorCheckcer is utilized as initial representative SR values for 1485 Munsell color chips of total color population and the Munsell chips arc divided subsets and a set of corresponding adaptive PCs per each subset is organized. As a result of experiments, the proposed method showed advanced estimation performance compared to both the two 3-band PCA methods and the 5-band wiener method.

Estimation of the Spectral Power Distribution of Illumination for Color Digital Image by Using Achromatic Region and Population (디지털 영상에서 무채색 영역과 모집단을 이용한 조명광원의 분광방사 추정)

  • 곽한봉;서봉우;이철회;하영호;안석출
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.2
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    • pp.39-46
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    • 2001
  • In this paper we propose a new method that can be estimation the spectral power distribution of the light source from three-band images. the light source is estimated by dividing the reflected spectral power distribution of the maximum achromatic region(L(λ)) by the corresponding surface reflectance(Ο(λ)). In order to obtain reflected spectral power distribution of the maximum achromatic region from three-bend images, a modified gray world assumption algorithm is adapted. And the maximum surface reflectance is estimated using the principal component analysis method along with achromatic population. The achromatic population is created from a set of given Munsell color chips whose chroma vector is less than threshold. Cumulative contribution ratio of principal components from the first to the third for classified achromatic population was about 99.75%. The reconstruction of illumination spectral power distribution by using achromatic population and three-band digital images captured under various light source was examined, and evaluated by RMSE between the original and reconstructed illumination spectral power distribution. This work was supported by grant No (2000-1-30200-005-3) from the Basic Research Program of the Korea Science & Engineering Foundation.

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Generalization of modified systematic sampling and regression estimation for population with a linear trend (선형추세를 갖는 모집단에 대한 변형계통표집의 일반화와 회귀추정법)

  • Kim, Hyuk-Joo;Kim, Jeong-Hyeon
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.6
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    • pp.1103-1118
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    • 2009
  • When we wish to estimate the mean or total of a finite population, the numbering of the population units is of importance. In this paper, we have proposed two methods for estimating the mean or total of a population having a linear trend, for the case when the reciprocal of the sampling fraction is an even number and the sample size is an odd number. The first method involves drawing a sample by using a method which is a generalization of Singh et al's (1968) modified systematic sampling, and using interpolation in determining the estimator. The second method involves selecting a sample by modified systematic sampling, and estimating the population parameters by the regression estimation method. Under the criterion of the expected mean square error based on Cochran's (1946) infinite superpopulation model, the proposed methods have been compared with existing methods. We have also made a comparison between the two proposed methods.

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다중 추출틀 조사기법을 적용한 인터넷 조사와 전화조사의 사례연구

  • 김영권;이계오;김주성;박무익
    • Proceedings of the Korean Association for Survey Research Conference
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    • 2000.11a
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    • pp.141-155
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    • 2000
  • 현재 국내의 여론조사에서는 전화조사가 주로 이용되고 있으며, 최근 들어 인터넷조사를 활용하는 방법들이 연구되고 있다. 그러나 인테넷조사의 경우 모집단 구조가 편향된 특성을 가지고 있으므로 이에 대한 보완 수정없이 결과의 직접적인 이용은 많은 비표본오차를 발생시킬 수 있다. 그러므로 본 연구에서는 사회여론조사를 수행함에 있어서 편향모집단에서의 인터넷조사로부터의 추정값과 전화조사를 통한 추정값의 적절한 결합추정방법을 제안하고, 지난 4.13 총선의 조사자료를 이용하여 이들 결합추정의 효율성을 검토하였다.

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Empirical Bayes Estimation of the Probability of Discovering a New Species (신종발견확률의 경험적 베이지안 추정에 관한 연구)

  • Joo Ho Lee
    • The Korean Journal of Applied Statistics
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    • v.7 no.1
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    • pp.159-172
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    • 1994
  • An empirical Bayes estimator of the probability of discovering a new species is proposed when some prior information is available on the number f species. The new estimator is shown via simulations to have only a moderate bias and a smaller RMSE than Good's estimator when the species population follows a truncated geometric distribution.

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Calculating Sample Variance for the Combined Data (두 자료들의 평균과 분산을 이용한 혼합자료의 분산 계산)

  • Shin, Mi-Young;Cho, Tae-Kyoung
    • The Korean Journal of Applied Statistics
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    • v.21 no.1
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    • pp.177-182
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    • 2008
  • There are times when we need more sample to achieve a more accurate estimator. Since these two sets of sample have the information about the same population, it is necessary to treat both as a single combined data. In this paper we present the unpooled sample variance for the combined data when we just know a sample mean and variance for the each data set without the raw data. It is shown that the pooled variance $s^2_p$ is always greater than the exact variance $s^2_t$ when ${\bar{x}}_n\;=\;{\bar{y}}_m$. And the difference of means for two data, ${\bar{x}}_n-{\bar{y}}_m}$, is larger, the difference of $s^2_p$ and $s^2_t$ is larger.