• Title/Summary/Keyword: 확률.통계적 분석

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A Study on Pre-Service Teachers' Understanding of Random Variable (확률변수 개념에 대한 예비교사의 이해)

  • Choi, Jiseon;Yun, Yong Sik;Hwang, Hye Jeang
    • School Mathematics
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    • v.16 no.1
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    • pp.19-37
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    • 2014
  • This study investigated the degree of understanding pre-service teachers' random variable concept, based on the attention and the importance for developing pre-service teachers' ability on statistical reasoning in statistics education. To accomplish this, the subject of this study was 70 pre-service teachers belonged to three universities respectively. The teachers were given to 7 tasks on random variable and requested to solve them in 40 minutes. The tasks consisted of three contents in large; 1) one was on the definition of random variables, 2) the other was on the understanding of random variables in different/diverse conditions, and 3) another was on problem solving relevant to random variable concept. The findings are as follows. First, while 20% of pre-service teachers understood the definition of random variable correctly, most teachers could not distinguish between random variable and variable or probability. Second, there was a significant difference in understanding random variables in different/diverse conditions. Namely, the degree of understanding on the continuous random variable was superior to that of discrete random variable and also the degree of understanding on the equal distribution was superior to that of unequality distribution. Third, three types of problems relevant to random variable concept dealt with in this study were finding a sample space and an elementary event, and finding a probability value. In result, the teachers responded to the problem on finding a probability value most correctly and on the contrary to this, they had the mot difficulty in solving the problem on finding a sample space.

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An Analysis of the Characteristics in Design Rainfall According to the Data Periods (자료기간에 따른 확률 강우량 변화 특성 분석)

  • Oh, Tae-Suk;Kim, Min-Seok;Moon, Young-Il;Ahn, Jae-Hyun
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.4
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    • pp.115-127
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    • 2009
  • Recently, Natural disasters are increasing the damage according to the influence of the abnormal climate and climate change. This study analyzed change characteristic of Design Rainfall according to the different data periods. First, 14 observatories were selected at Meteorological Administration. Second, frequency analysis carried out 5 cases by different data periods. At the results of the frequency analysis, the design rainfall could confirm the increase in most areas of Korea. Also, the change and trend analysis carried out for characteristic analysis by design rainfall and observed rainfall. The change and trend analysis of observed annual maximum rainfall did not appeared, but the change and trend analysis of design rainfall significantly appeared using statistic methods. The result of the change and trend analysis, design rainfall increased in most areas of Korea. Although, it could be the necessity for reestimating defense ability of flood, existing river systems, and new establishment of structure about the change characteristic.

Integrated Stochastic Admission Control Policy in Clustered Continuous Media Storage Server (클리스터 기반 연속 미디어 저장 서버에서의 통합형 통계적 승인 제어 기법)

  • Kim, Yeong-Ju;No, Yeong-Uk
    • The KIPS Transactions:PartA
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    • v.8A no.3
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    • pp.217-226
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    • 2001
  • In this paper, for continuous media access operations performed by Clustered Continuous Media Storage Server (CCMSS) system, we present the analytical model based on the open queueing network, which considers simultaneously two critical delay factors, the disk I/O and the internal network, in the CCMSS system. And we derive by using the analytical model the stochastic model for the total service delay time in the system. Next, we propose the integrated stochastic admission control model for the CCMSS system, which estimate the maximum number of admittable service requests at the allowable service failure rate by using the derived stochastic model and apply the derived number of requests in the admission control operation. For the performance evaluation of the proposed model, we evaluated the deadline miss rates by means of the previous stochastic model considering only the disk I/O and the propose stochastic model considering the disk I/O and the internal network, and compared the values with the results obtained from the simulation under the real cluster-based distributed media server environment. The evaluation showed that the proposed admission control policy reflects more precisely the delay factors in the CCMSS system.

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A Study on Modulation Classification of PSK Signals Based on Statistical Moments (통계적 모먼트에 의한 PSK 신호의 변조분류에 관한 연구)

  • 이원철;한영열
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.6
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    • pp.1004-1015
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    • 1994
  • Modulation type classifier based on statistical moments has been successfully employed to classify PSK signals. Previously, the classifier developed utilizes the statistical moment of samples of the received signal phase, which may be difficult to extract from received signal. In this paper we propose a new moments-based classifier to classify PSK signals by using the moments of the demodulated signal for PSK. THe demodulated signal can be easily extracted from the conventional demodulation of PSK. The evaluation of the performance of the proposed classifier for PSK signals has been investigated in additive white Gaussian noise environment using the exact distribution of the demodulated signal. The performances of classifier in terms of probability of misclassification were evaluated. We found that the coherent system classifier gave 4dB improvement for BPSK and 3dB for QPSK over noncoherent system classifier, when the probability of misclassification is 10 and m equals to 4.

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Simulation of Groundwater Flow in Fractured Porous Media using a Discrete Fracture Model (불연속 파쇄모델을 이용한 파쇄 매질에서의 지하수 유동 시뮬레이션)

  • Park, Yu-Chul;Lee, Kang-Kun
    • Economic and Environmental Geology
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    • v.28 no.5
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    • pp.503-512
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    • 1995
  • Groundwater flow in fracture networks is simulated using a discrete fracture (DF) model which assume that groundwater flows only through the fracture network. This assumption is available if the permeability of rock matrix is very low. It is almost impossible to describe fracture networks perfectly, so a stochastic approach is used. The stochastic approach assumes that the characteristic parameters in fracture network have special distribution patterns. The stochastic model generates fracture networks with some characteristic parameters. The finite element method is used to compute fracture flows. One-dimensional line element is the element type of the finite elements. The simulation results are shown by dominant flow paths in the fracture network. The dominant flow path can be found from the simulated groundwater flow field. The model developed in this study provides the tool to estimate the influences of characteristic parameters on groundwater flow in fracture networks. The influences of some characteristic parameters on the frcture flow are estimated by the Monte Carlo simulation based on 30 realizations.

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A Probabilistic Tracking Mechanism for Luxury Purchase Implemented by Hidden Markov Model, Bayesian Inference, Customer Satisfaction and Net Promoter Score (고객만족, NPS, Bayesian Inference 및 Hidden Markov Model로 구현하는 명품구매에 관한 확률적 추적 메카니즘)

  • Hwang, Sun Ju;Rhee, Jung Soo
    • Journal of Korea Society of Industrial Information Systems
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    • v.23 no.6
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    • pp.79-94
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    • 2018
  • The purpose of this study is to specify a probabilistic tracking mechanism for customer luxury purchase implemented by hidden Markov model, Bayesian inference, customer satisfaction and net promoter score. In this paper, we have designed a probabilistic model based on customer's actual data containing purchase or non-purchase states by tracking the SPC chain : customer satisfaction -> customer referral -> purchase/non-purchase. By applying hidden Markov model and Viterbi algorithm to marketing theory, we have developed the statistical model related to probability theories and have found the best purchase pattern scenario from customer's purchase records.

Comparison of Some Nonparametric Statistical Inference for Logit Model (로짓모형의 비모수적 추론의 비교)

  • 정형철;김대학
    • The Korean Journal of Applied Statistics
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    • v.15 no.2
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    • pp.355-366
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    • 2002
  • Nonparametric statistical inference for the parameter of logit model were examined. Usually nonparametric approach is milder than parametric approach based on normal theory assumption. We compared the two nonparametric methods for legit model, the bootstrap and random permutation in the sense of coverage probability. Monte Carlo simulation is conducted for small sample cases. Empirical power of hypothesis test and coverage probability for confidence interval estimation were presented for simple and multiple legit model respectively. An example were also introduced.

Design and implementation of Web Course_ware based on Simulation for statistical Inference Study (통계적 추론 학습을 위한 시뮬레이션 중심 웹 코스웨어의 설계와 구현)

  • Choi, Eun-Seon;Choi, Jin-Seek
    • Proceedings of the Korean Information Science Society Conference
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    • 2006.10a
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    • pp.113-118
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    • 2006
  • 고등학교 수학과 교육과정에서의 ‘확률과 통계'단원은 실제로 자료의 수집과 요약을 통하여 자료 분석방법을 배우고 사회와 자연현상을 인식하고 추론하는 능력을 기르는데 목표를 두고 있다. 추상적인 수학내용을 직접 시도하거나 학생들이 실제적인 자료를 수집하고 직접 자료를 해석하고 추론해 보는 경험과정은 수학실험과 시뮬레이션이라는 컴퓨터 학습을 통해 가능하고 개념학습의 전 단계에서 보다 구성적이고 탐구적인 활동을 강화할 수 있다. 본 논문에서는 ‘확률과 통계'의 교수-학습과정에서 수학적 시뮬레이션을 활용한 웹 기반 학습모형을 제시하여 학습자들에게 수학적 내용과 관련된 구체적 매체를 조작하는 컴퓨터 실험 활동을 통하여 수학에서의 원리발견과 통계적 추론을 경험하고 유도할 수 있는 탐구적 학습 환경을 조성해 보고자 한다.

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Ocean bottom reverberation and its statistical characteristics in the East Sea (동해 해역에서 해저면 잔향음 및 통계적 특징)

  • Jung, Young-Cheol;Lee, Keun-Hwa;Seong, Woojae;Kim, Seongil
    • The Journal of the Acoustical Society of Korea
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    • v.38 no.1
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    • pp.82-95
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    • 2019
  • In this study, we analyzed the beam time series of ocean reverberation which was conducted in the eastsouthern region of East Sea, Korea during the August, 2015. The reverberation data was gathered by moving research vessel towing LFM (Linear Frequency Modulation) source and triplet receiver array. After signal processing, we analyzed the variation of ocean reverberation level according to the seafloor bathymetry, source/receiver depth and sound speed profile. In addition, we used the normalized data by using cell averaging algorithm and identified the statistical characteristics of seafloor scatterer by using moment estimation method and estimated shape parameter. Also, we analyzed the coincidence of data with Rayleigh and K-distribution probability by Kolmogorov-Smirnov test. The results show that there is range dependency of reverberation according to the bathymetry and also that the time delay and the intensity level change depend on the depths of source and receiver. In addition, we observed that statistical characteristics of similar Rayleigh probability distribution in the ocean reverberation.

포아송 반응을 갖는 로그 선형 회귀 모형에 대한 최우추정량과 모의실험 연구

  • 한정혜;조중재
    • Communications for Statistical Applications and Methods
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    • v.2 no.1
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    • pp.22-31
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    • 1995
  • 본 논문에서는 포아송 반응을 갖는 로그 선형 회귀 모형에 붙스트랩 방법을 이용하여, 여러가지 통계적 추론을 위한 유용한 확률적 결과들을 연구.소개하고, 모의실험을 통한 소표본 성질들을 다양하게 제시하고자 한다. 특히 로그 선형 회귀 모형에 대한 최우 추정량 $\hat{\beta_n}$ 및 정보행렬 I(${\beta}_0$)의 추정량들 $I_1(\hat{\beta_n}{\cdot}X)$$I_2(\hat{\beta_n}{\cdot}X)$에 대한 일치성 및 정규성등의 확률적 성질들, 그리고 붙스트랩 방법을 적용한 대표본 성질들과 관련하여 여러가지 모의실험 결과들을 분석.연구하였다.

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