• Title/Summary/Keyword: Copula

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Analysis on the Dependence Structure between Energy Price and Economic Uncertainty Using Copula Model (Copula 모형을 이용한 에너지 가격과 경제적 불확실성 사이의 의존관계 분석)

  • Kim, Bu-Kwon;Choi, Ki-Hong;Yoon, Seong-Min
    • Environmental and Resource Economics Review
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    • v.29 no.2
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    • pp.145-170
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    • 2020
  • This study analyzes the dependence structure between energy (crude oil, natural gas, coal) prices and economic (real and financial) uncertainty. Summary of the results of the dependence structure between energy prices and economic uncertainty analysis is as follows. First, the results of model selection show that the BB7 copula model for the pair of crude oil price and economic uncertainty, the Joe copula model for the pair of natural gas price and economic uncertainty, and the Clayton copula model for the pair of coal price and economic uncertainty were chosen. Second, looking at the dependency structure, it showed that the pair of energy (crude oil, natural gas, coal) prices and real market uncertainty show positive dependence. Whereas, the only pair of financial market uncertainty-crude oil price shows positive dependency. In particular, crude oil price was found to have the greatest dependence on economic uncertainty. Third, looking at the results of tail dependency, the pair of real market uncertainty-crude oil price and pair of real market uncertainty-natural gas price have an asymmetric relationship with the upper tail dependency. It can be seen that the only pair of financial market uncertainty-crude oil represents asymmetric relationships with the upper tail dependencies. In other words, combinations with asymmetric relationships have shown strong dependence when negative extreme events occur. On the other hand, tail dependence between economic uncertainty and coal price be not found.

A development of Bayesian Copula model for a bivariate drought frequency analysis (이변량 가뭄빈도해석을 위한 Bayesian Copula 모델 개발)

  • Kim, Jin-Young;Kim, Jin-Guk;Cho, Young-Hyun;Kwon, Hyun-Han
    • Journal of Korea Water Resources Association
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    • v.50 no.11
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    • pp.745-758
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    • 2017
  • The copula-based models have been successfully applied to hydrological modeling including drought frequency analysis and time series modeling. However, uncertainty estimation associated with the parameters of these model is not often properly addressed. In these context, the main purposes of this study are to develop the Bayesian inference scheme for bivariate copula functions. The main applications considered are two-fold: First, this study developed and tested an approach to copula model parameter estimation within a Bayesian framework for drought frequency analysis. The proposed modeling scheme was shown to correctly estimate model parameters and detect the underlying dependence structure of the assumed copula functions in the synthetic dataset. The model was then used to estimate the joint return period of the recent 2013~2015 drought events in the Han River watershed. The joint return period of the drought duration and drought severity was above 100 years for many of stations. The results obtained in the validation process showed that the proposed model could effectively reproduce the underlying distribution of observed extreme rainfalls as well as explicitly account for parameter uncertainty in the bivariate drought frequency analysis.

Residual-based copula parameter estimation (잔차를 이용한 코플라 모수 추정)

  • Na, Okyoung;Kwon, Sunghoon
    • The Korean Journal of Applied Statistics
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    • v.29 no.1
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    • pp.267-277
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    • 2016
  • This paper considers we consider the estimation of copula parameters based on residuals in stochastic regression models. We prove that a semiparametric estimator using residual empirical distributions is consistent under some conditions and apply the results to the copula-ARMA model. We provide simulation results for illustration.

Bayesian Approach to Estimation of Copula Parameters and Assessment of Uncertainty for Bivariate Frequency Analysis (Bayesian Copula기반 이변량 비정상성 빈도해석 및 불확실성 평가 모형 개발)

  • Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.35-35
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    • 2016
  • 수문학적 빈도해석은 일반적으로 단변량 형태에 해석이 주를 이루고 있으나, 최근 다변량 해석에 대한 이해와 더불어, 해석 기술 발달에 따라 빈도해석에서도 다변량 해석적 접근이 이루어지고 있다. 기존 다변량 해석 방법으로는 Copula방법 적용이 활발하게 이루어지고 있으며, 특히 가뭄해석에 있어 지속시간과 심도를 동시에 평가하는 2변량 가뭄빈도해석에 대한 연구가 다수 이루어지고 있다. 그러나 기존 해석 방법은 정상성 해석 모형으로서 기상변동성과 같은 시변동성을 고려하는데 한계가 있다. 이러한 점에서 본 연구에서는 Bayesian 기반 Copula 함수의 매개변수를 추정함과 동시에 매개변수의 불확실성을 평가할 수 있는 2변량 비정상성 빈도해석 모형을 개발하였다. 본 연구에서는 최근 우리나라와 미국에서 발생한 2013-15년 가뭄빈도에 대한 평가와 동시에 이에 따른 불확실성을 정량적으로 평가하는 연구를 진행하였다.

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Prediction of steel corrosion in magnesium cement concrete based on two dimensional Copula function

  • Feng, Qiong;Qiao, Hongxia;Wang, Penghui;Gong, Wei
    • Computers and Concrete
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    • v.21 no.2
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    • pp.181-187
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    • 2018
  • In order to solve the life prediction problem of damaged coating steel bar in magnesium cement concrete, this study tries to establish the marginal distribution function by using the corrosion current density as a single degradation factor. Representing the degree of steel corrosion, the corrosion current density were tested in electrochemical workstation. Then based on the Copula function, the joint distribution function of the damaged coating was established. Therefore, it is indicated that the corrosion current density of the bare steel and coated steel bar can be used as the boundary element to establish the marginal distribution function. By using the Frank-Copula function of Copula Archimedean function family, the joint distribution function of the damaged coating steel bar was successfully established. Finally, the life of the damaged coating steel bar has been lost in 7320d. As a new method for the corrosion of steel bar under the multi-dimensional factors, the two-dimensional Copula function has certain practical significance by putting forward some new ideas.

Tail dependence of Bivariate Copulas for Drought Severity and Duration

  • Lee, Tae-Sam;Modarres, Reza;Ouarda, Taha B.M.J.
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.571-575
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    • 2010
  • Drought is a natural hazard with different properties that are usually dependent to each other. Therefore, a multivariate model is often used for drought frequency analysis. The Copula based bivariate drought severity and duration frequency analysis is applied in the current study in order to show the effect of tail behavior of drought severity and duration on the selection of a copula function for drought bivariate frequency analysis. Four copula functions, namely Clayton, Gumbel, Frank and Gaussian, were fitted to drought data of four stations in Iran and Canada in different climate regions. The drought data are calculated based on standardized precipitation index time series. The performance of different copula functions is evaluated by estimating drought bivariate return periods in two cases, [$D{\geq}d$ and $S{\geq}s$] and [$D{\geq}d$ or $S{\geq}s$]. The bivariate return period analysis indicates the behavior of the tail of the copula functions on the selection of the best bivariate model for drought analysis.

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A Development of Downscaling Model for Sub-daily Rainfall Based on Bayesian Copula model (Bayesian Copula 모형을 활용한 시간단위 강우량 상세화 기법 모형 개발)

  • Kim, Jin-Young;So, Byung-Jin;Kwon, Duk-Soon;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.229-229
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    • 2016
  • 현재 국내외에서 제공되고 있는 기후변화 시나리오 자료의 경우 일단위로 제공되고 있다. 그러나 수자원 설계 및 계획 시 중요한 입력자료 중 하나는 시간단위 강우 자료이다. 이러한 시간단위 자료는 강우-유추 분석, 댐 설계 및 위험도 분석에 있어 중요한 입력 변수중 하나이므로 기후변화 시나리오에 따른 영향을 평가하기 위해선 신뢰성 있는 상세화 기법이 필요하다. 국내외에서는 일단위에서 일단위로 상세화 하는 기법, 또는 공간상세화 기법 연구는 상당히 진행된바 있는 반면, 시간단위 상세화 기법 연구는 일단위 연구에 비해 상대적으로 미진한 실정이다. 즉 일단위 상세화 기법의 경우 Weather generator, Weather typing 등 다양한 기법이 존재하고 이를 활용한 연구사례가 많지만, 시간단위 상세화 기법의 Poisson 기법을 활용한 사례가 다수 존재하였다. 이러한 이유로 본 연구에서는 기후변화 시나리오에 따른 영향을 평가하기 위해 Bayesian 기법을 도입하여 신뢰성 있는 시간단위 강우량을 생성할 수 있는 모형을 개발하였으며, 연대별로 산정된 결과는 빈도해석을 통해 미래 확률강우량을 제시하였다. 본 연구에서 제안하고자 하는 Bayesian Copula 모형은 기존 주변확률분포(marginal distribution) 매개변수와 Copula 매개변수 추정시 각각 다른 기법을 활용하여 추정하며, 각각 모형에서 발생하는 불확실성은 추정하지 못하는 반면, Bayesian Copula 모형의 경우 매개변수의 사후분포를 정량적으로 제시할 수 있으며, 추정되는 확률강우량 역시 불확실성을 정량적으로 산정할 수 있는 장점을 확인할 수 있었다.

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Copula Contraction and Deletion among African American Vernacular English (AAVE) Speakers

  • Willie, Willie U.
    • Cross-Cultural Studies
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    • v.36
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    • pp.211-240
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    • 2014
  • This is a cross-sectional study designed to analyze the correlation between the structural and social variables and the pattern of contraction and deletion of the copula verb in the speech of African American Vernacular English (AAVE) speakers in Athens in Georgia, USA using a questionnaire. The results show that the frequency of copula contraction is higher than that of deletion in all factor groups including the age of the speakers where this study found that younger speakers tend to have higher frequency of contraction and deletion of the copula than older speakers. This study analyzes this as a function of the fact that younger speakers of AAVE are conscious of the linguistic and social differences between AAVE speakers and speakers of Standard American English (SAE) and they consciously make choices regarding which norm to use at which contexts to satisfy their communicative and socio-cultural needs. This sort of conscious social behavior is not likely to disappear with age rather it might increase as a correlate of the perceived physical, socio-cultural and psychological distance between AAVE speakers and speakers of other varieties. This study shows that such perceived linguistic, socio-cultural and psychological distance has negative effects on pedagogy and I proffer the remedy.

Risk Spillover between Shipping Company's Stock Price and Marine Freight Index (해운선사 주가와 해상운임지수 사이의 위험 전이효과)

  • Choi Ki-Hong
    • Journal of Korea Port Economic Association
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    • v.39 no.1
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    • pp.115-129
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    • 2023
  • This study analyzed the risk spillover of BDI on shipping company stock prices through the Copula-CoVaR method based on daily data from January 4, 2010, to October 31, 2022. The main empirical analysis results and policy implications are as follows. First, copula results showed that there was a weak dependence between BDI and shipping company stock prices, and PAN, KOR, and YEN were selected as the most fitting model for dynamic Student-t copula, HMM was selected as the rotated Gumbel copula, and KSS was selected as the best model. Second, in the results of CoVaR, it was confirmed that the upside (downside) CoVaR was significantly different from the upside (downside) VaR in all shipping companies. This means that BDI has a significant risk spillover on shipping companies. In addition, as for the risk spillover, the downside risk is generally lower than the upside risk, so the downside and upside risk spillover were found to be asymmetrical. Therefore, policymakers should strengthen external risk supervision and establish differentiated policies suitable for domestic conditions to prevent systematic risks from BDI shocks. And investors should reflect external risks from BDI fluctuations in their investment decisions and construct optimal investment portfolios to avoid risks. On the other hand, investors propose that the investment portfolio should be adjusted in consideration of the asymmetric characteristics of up and down risks when making investment decisions.

Analyzing rainfall patterns and pricing rainfall insurance using copula (코퓰라를 이용한 강수의 패턴 분석과 강수 보험의 가격 결정)

  • Choi, Changhui;Lee, Hangsuck;Ju, Hyo Chan
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.3
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    • pp.603-623
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    • 2013
  • This paper proposes analyzing monthly rainfall patterns using copula and pricing related rainfall insurance using it. We analyze 30-year monthly precipitation data for 9 Korean cities between June and September using copula showing so that it can effectively generate realistic monthly rainfall patterns. In addition, we show that our copula rainfall models can be used in pricing various kinds of rainfall insurances effectively.