• Title/Summary/Keyword: 확률표본

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A Study on the Stratified Cluster Replicated Systematic Unrelated Question Model (층화 집락 반복계통 무관질문모형에 관한 연구)

  • Lee, Gi-Sung
    • The Korean Journal of Applied Statistics
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    • v.26 no.2
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    • pp.209-222
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    • 2013
  • We apply stratified cluster sampling to a replicated systematic unrelated question model for a large scale survey in which the population is comprised of several strata developed by several clusters and with sensitive parameters. We first present a replicated systematic unrelated question model using an unrelated question model to procure sensitive information from the population of clusters and then develop a suggested model to an unrelated question by a stratified cluster replicated systematic sampling that can be used in large population of strata. We cover the proportional and optimum allocation for the suggested model. Finally, we compare and analyze the efficiency of the suggested model with the replicated systematic unrelated question model.

Interval Estimation of Population Proportion in a Double Sampling Scheme (이중표본에서 모비율의 구간추정)

  • Lee, Seung-Chun;Choi, Byong-Su
    • The Korean Journal of Applied Statistics
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    • v.22 no.6
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    • pp.1289-1300
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    • 2009
  • The double sampling scheme is effective in reducing the sampling cost. However, the doubly sampled data is contaminated by two types of error, namely false-positive and false-negative errors. These would make the statistical analysis more difficult, and it would require more sophisticate analysis tools. For instance, the Wald method for the interval estimation of a proportion would not work well. In fact, it is well known that the Wald confidence interval behaves very poorly in many sampling schemes. In this note, the property of the Wald interval is investigated in terms of the coverage probability and the expected width. An alternative confidence interval based on the Agresti-Coull's approach is recommended.

The Test Statistic of the Two Sample Locally Optimum Rank Detector for Random Signals in Weakly Dependent Noise Models (약의존성 잡음에서 두 표본을 쓰는 국소 최적 확률 신호 검파기의 검정 통계량)

  • Bae, Jin-Soo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.8C
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    • pp.709-712
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    • 2010
  • In this paper, the two sample locally optimum rank detector is obtained in the weakly dependent noise with non-zero temporal correlation between noise observations. The test statistic of the locally optimum rank detector is derived from the Neyman-Pearson lemma suitable for the two sample observation models, where it is assumed that reference observations are available in addition to regular observations. Two-sample locally optimum rank detecter shows the same performance with the one-sample locally optimum rank detector asymptotically. The structure of the two-sample rank detector is simpler than that of the one-sample rank detector because the sign statistic is not processed separately.

층화 집락추출시 $m_{opt}$의 결정

  • Sin, Dong-Yun;Sin, Min-Ung;Choe, Gi-Cheol
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.131-135
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    • 2003
  • 표본조사를 하는 경우에 사전에 전체 표본의 크기를 정하여 놓고, 표본설계를 하는 경우가 많다. 이 때에는 조사 비용은 고려의 대상이 안되고 주어진 전체표본 크기로 각 층별로 표본을 할당하여 분산을 최소로 하는 문제가 된다. 이 논문에서는 pps 집락추출과 각 집락에서 같은 크기의 부표본(subsample)을 추출하여 자체 가중이 되도록 표본설계를 하는 경우에 표본의 크기 $m_{0}$가 사전에 주어졌을 때에 모총계의 추정량의 분산을 최소로 하는 최적의 표본추출율을 구하고. 이러한 $m_{0}$값들 중에서 최적의 $m_{opt}$값을 구한다.

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Energy Detector-Aided Spectrum Sensing Using Compressive Sensing (압축감지 기술을 채용한 에너지 검출 스펙트럼 센싱)

  • Lee, Jae-Hyuck;Jeon, Cha-Eul;Hwang, Seung-Hoon
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.11
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    • pp.67-72
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    • 2011
  • In this paper, we investigate the energy detector to detect a primary user. And employ the compressed sensing method to get the lower sampling rate than Nyquist sampling rate. In more wide bandwidth we using the small samples than Nyquist sampling rate samples to recover original signal. we investigate the performance of energy detector with compressive sensing method under suzuki channel. The performance is investigated by simulation and compared to that of conventional energy detector.

Visual Tracking Using Monte Carlo Sampling and Background Subtraction (확률적 표본화와 배경 차분을 이용한 비디오 객체 추적)

  • Kim, Hyun-Cheol;Paik, Joon-Ki
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.48 no.5
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    • pp.16-22
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    • 2011
  • This paper presents the multi-object tracking approach using the background difference and particle filtering by monte carlo sampling. We apply particle filters based on probabilistic importance sampling to multi-object independently. We formulate the object observation model by the histogram distribution using color information and the object dynaminc model for the object motion information. Our approach does not increase computational complexity and derive stable performance. We implement the whole Bayesian maximum likelihood framework and describes robust methods coping with the real-world object tracking situation by the observation and transition model.

Sample Size Determination of Univariate and Bivariate Ordinal Outcomes by Nonparametric Wilcoxon Tests (단변량 및 이변량 순위변수의 비모수적 윌콕슨 검정법에 의한 표본수 결정방법)

  • Park, Hae-Gang;Song, Hae-Hiang
    • The Korean Journal of Applied Statistics
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    • v.22 no.6
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    • pp.1249-1263
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    • 2009
  • The power function in sample size determination has to be characterized by an appropriate statistical test for the hypothesis of interest. Nonparametric tests are suitable in the analysis of ordinal data or frequency data with ordered categories which appear frequently in the biomedical research literature. In this paper, we study sample size calculation methods for the Wilcoxon-Mann-Whitney test for one- and two-dimensional ordinal outcomes. While the sample size formula for the univariate outcome which is based on the variances of the test statistic under both null and alternative hypothesis perform well, this formula requires additional information on probability estimates that appear in the variance of the test statistic under alternative hypothesis, and the values of these probabilities are generally unknown. We study the advantages and disadvantages of different sample size formulas with simulations. Sample sizes are calculated for the two-dimensional ordinal outcomes of efficacy and safety, for which bivariate Wilcoxon-Mann-Whitney test is appropriate than the multivariate parametric test.

3rd, 4th and 5th Graders' Probability Understanding (초등학교 3, 4, 5학년 학생들의 확률 이해 실태)

  • Yoon, Hye-Young;Lee, Kwang-Ho
    • Education of Primary School Mathematics
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    • v.14 no.1
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    • pp.69-79
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    • 2011
  • The purpose of this study is to analyze 3rd, 4th and 5th graders' probability understanding and raise issues concerning instructional methods and search for the possibility of learning probability. For the purpose, a descriptive study through pencil-and-paper test regarding fairness, sample space, probability of event, probability comparison, independence and conditional probability was conducted. The following conclusions were drawn from the results obtained in this study. First, the 3rd, 4th, and 5th grade students scored the highest in the sample space questions. In descending order of skill, the students scored the highest in sample space following probability of events, fairness and probability comparison. Second, however, the level of independence understanding was low. There was no meaningful differences between grades and the conditional probability was the least understood. The independence is difficult to develop naturally according to cognitive development. The conditional probability recognizing the probability of an event changes in non-replacement situations was very difficult for these students. Third, there were significant differences between the 5th graders and the 3rd and 4th graders in the probability comparison questions. It shows that 5th graders understand the concept of proportion when they compare equal ratio probability of an event. The 3rd graers could do different ratio probability of an event more easily than equal ratio probability of an event after they were instructed on probability comparison.

A Critical Evaluation of Dichotomous Choice Responses in Contingent Valuation Method (양분선택형 조건부가치측정법 응답자료의 실증적 쟁점분석)

  • Eom, Young Sook
    • Environmental and Resource Economics Review
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    • v.20 no.1
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    • pp.119-153
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    • 2011
  • This study reviews various aspects of model formulating processes of dichotomous choice responses of the contingent valuation method (CVM), which has been increasingly used in the preliminary feasibility test of Korea public investment projects. The theoretical review emphasizes the consistency between WTP estimation process and WTP measurement process. The empirical analysis suggests that two common parametric models for dichotmous choice responses (RUM and RWTP) and two commonly used probability distributions of random components (probit and logit) resulted in all most the same empirical WTP distributions, as long as the WTP functions are specified to be a linear function of the bid amounts. However, the efficiency gain of DB response compared to SB response were supported on the ground that the two CV responses are derived from the same WTP distribution. Moreover for the exponential WTP function which guarantees the non-negative WTP measures, sample mean WTP were quite different from median WTP if the scale parameter of WTP function turned out to be large.

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Testing for stochastic order in interval-valued data (구간 자료의 확률적 순서 검정)

  • Choi, Hyejeong;Lim, Johan;Kwak, Minjung;Park, Seongoh
    • The Korean Journal of Applied Statistics
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    • v.32 no.6
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    • pp.879-887
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    • 2019
  • We construct a procedure to test the stochastic order of two samples of interval-valued data. We propose a test statistic that belongs to a U-statistic and derive its asymptotic distribution under the null hypothesis. We compare the performance of the newly proposed method with the existing one-sided bivariate Kolmogorov-Smirnov test using real data and simulated data.