• Title/Summary/Keyword: L-적률추정법

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The estimation of CO concentration in Daegu-Gyeongbuk area using GEV distribution (GEV 분포를 이용한 대구·경북 지역 일산화탄소 농도 추정)

  • Ryu, Soorack;Eom, Eunjin;Kwon, Taeyong;Yoon, Sanghoo
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.4
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    • pp.1001-1012
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    • 2016
  • It is well known that air pollutants exert a bad influence on human health. According to the United Nations Environment Program, 4.3 million people die from carbon monoxide and particulate matter annually from all over the world. Carbon monoxide is a toxic gas that is the most dangerous of the gas consisting of carbon and oxygen. In this paper, we used 1 hour, 6 hours, 12 hours, and 24 hours average carbon monoxide concentration data collected between 2004 and 2013 in Daegu Gyeongbuk area. Parameters of the generalized extreme value distribution were estimated by maximum likelihood estimation and L-moments estimation. An evalution of goodness of fitness also was performed. Since the number of samples were small, L-moment estimation turned out to be suitable for parameter estimation. We also calculated 5 year, 10 year, 20 year, and 40 year return level.

Objective Bayesian Estimation of Two-Parameter Pareto Distribution (2-모수 파레토분포의 객관적 베이지안 추정)

  • Son, Young Sook
    • The Korean Journal of Applied Statistics
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    • v.26 no.5
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    • pp.713-723
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    • 2013
  • An objective Bayesian estimation procedure of the two-parameter Pareto distribution is presented under the reference prior and the noninformative prior. Bayesian estimators are obtained by Gibbs sampling. The steps to generate parameters in the Gibbs sampler are from the shape parameter of the gamma distribution and then the scale parameter by the adaptive rejection sampling algorism. A numerical study shows that the proposed objective Bayesian estimation outperforms other estimations in simulated bias and mean squared error.

확률밀도함수가 표현되지 않는 경우 수치적 최우추정법 - 웨이크비 분포 적용

  • Park, Jeong-Su
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.05a
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    • pp.43-47
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    • 2005
  • 확률밀도함수가 명확히 표현되지 않고 오직 백분위함수로만 표현되는 분포에서 최우추정치를 구하는 수치적 최적화 알고리즘에 대해서 연구하였다. 이 최우추정 알고리즘을 수문학 등에서 사용되는 5-모수의 웨이크비 분포에 적용하였으며, 몬테카를로 시뮬레이션을 통하여 L-적률추정법과 그 성능을 비교하였다.

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Evaluation of the impact of typhoon on daily maximum precipitation (태풍이 일 최대강수량에 미치는 영향 평가)

  • Yang, Miyeon;Yoon, Sanghoo
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.6
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    • pp.1415-1425
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    • 2017
  • Typhoons are accompanied by strong wind and heavy rains. It causes casualties and property damage on the Korean peninsula every year. The effect of typhoon to daily precipitation should be quantified to prevent the damage of typhoon. Daily precipitation, maximum wind speed and, mean wind speed data was collected from 60 weather stations between 1976 and 2016. The parameters of the generalized extreme value distribution were estimated through the maximum likelihood estimation and the L-moment estimation. The impact of a typhoon can be obtained through a comparison of return levels between the whole data and typhoon excluded data. We conclude that the eastern and southern coastline are exposed to the risk of heavy rainfall which is caused by typhoon.

3-모수 카파분포의 모수 추정 방법들의 비교

  • Jeon, Yu-Na;Kim, Yeon-Woo;Hwang, Yeong-A;Park, Jeong-Su
    • 한국데이터정보과학회:학술대회논문집
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    • 2003.10a
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    • pp.139-145
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    • 2003
  • 본 논문에서는 강수 자료의 예측에 사용되는 3-모수 카파 분포(KD3)에서의 모수 추정 방법을 알아보고 시뮬레이션을 통하여 모수 추정 방법에 따른 성능을 비교해 보았다. 이 분포의 모수 $\alpha,\;\beta,\;\mu$를 추정하기 위하여 적률추정법(MME), L-적률 추정법(LME), 최우추정법(MLE)을 적용하였다. 소표본의 경우뿐만 아니라 대표본의 경우에도 시뮬레이션을 통하여 추정법들의 성능을 비교하였다. 적률 추정법과 L-적률 추정법에서는 제약조건 하에서의 1차원 Newton-Raphson방법을 수정하여 이용하였다. MSE를 기준으로 한 시뮬레이션 결과, KD3의 모수 추정에 있어서 표본의 크기가 100보다 작으면 LME의 적용을 추천하고 표본의 크기가 100이상이면 MLE를 추천한다.

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An Analysis of Daily Maximum Traffic Accident Using Generalized Extreme Value Distribution (일반화 극단치분포를 이용한 일 최대 교통사고 분석)

  • Kim, Junseok;Kim, Daesung;Yoon, Sanghoo
    • Journal of Digital Convergence
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    • v.18 no.10
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    • pp.33-39
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    • 2020
  • In order to cope with traffic accidents efficiently, the maximum number of traffic accidents, deaths and serious injuries that can occur during the day should be presented quantitatively. In order to examine the characteristics of traffic accidents in different regions, it was divided into the Seoul metropolitan area, Chungcheong area, Gyeongbuk area, Honam area, and Gyeongnam area and was suitable for the generalized extreme value distribution (GEV). The parameters of the GEV distribution were estimated by the L-moments, and the Anderson-Darling test and the Cramer-von Mises test confirmed the suitability of the distribution. According to the analysis, the maximum number of traffic accidents that can occur once every 50 years is 401 in the Seoul metropolitan area, 168 in the South Gyeongsang region, 455 in the North Gyeongsang region, 136 in the Chungcheong region and 205 in the South Jeolla region. Compared to the Seoul metropolitan area, which has a large population and car registration, the number of traffic accidents is relatively high due to the large area, mountainous areas, and logistics movement caused by the industrial complex.

Prediction of recent earthquake magnitudes of Gyeongju and Pohang using historical earthquake data of the Chosun Dynasty (조선시대 역사지진자료를 이용한 경주와 포항의 최근 지진규모 예측)

  • Kim, Jun Cheol;Kwon, Sookhee;Jang, Dae-Heung;Rhee, Kun Woo;Kim, Young-Seog;Ha, Il Do
    • The Korean Journal of Applied Statistics
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    • v.35 no.1
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    • pp.119-129
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    • 2022
  • In this paper, we predict the earthquake magnitudes which were recently occurred in Gyeongju and Pohang, using statistical methods based on historical data. For this purpose, we use the five-year block maximum data of 1392~1771 period, which has a relatively high annual density, among the historical earthquake magnitude data of the Chosun Dynasty. Then, we present the prediction and analysis of earthquake magnitudes for the return level over return period in the Chosun Dynasty using the extreme value theory based on the distribution of generalized extreme values (GEV). We use maximum likelihood estimation (MLE) and L-moments estimation for parameters of GEV distribution. In particular, this study also demonstrates via the goodness-of-fit tests that the GEV distribution can be an appropriate analytical model for these historical earthquake magnitude data.

A Study on Price Elasticities of mobile telephone Demand in Korea (국내 이동전화 통화수요의 요금탄력성 추정에 관한 연구)

  • Jeong, Woo-Soo;Cho, Byung-Sun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.6B
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    • pp.390-401
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    • 2007
  • This paper is to estimate and analyze the price elasticities of demand for mobile calls. We used the data for the period from January 2000 to December 2005 on a monthly basis. Data used are call minutes to mobile-originating(ML+MM), tariff for dispatch of fixed and mobile calls($P_L,P_M$), income(Y), and subscriber for mobile(N). In order to provide robust estimates of price elasticities, we have used two different econometric models. One is a Dynamic model which includes a lagged dependent variable and so can differentiate between long-un and short-run price elasticities using the Generalized Method of Moments(GMM). The other is a Box-Cox transformation model which is one of the most useful methods. Box-Cox transformation model shows that elasticity changes with the lapse of time. The results are as follow : Not including the price indices for land-originating, the estimate is overestimated otherwise. In Box-Cox transformation case, price elasticity had been steadily declining. And this result shows that mobile services had been changed necessities increasingly in Korea.