• Title/Summary/Keyword: empirical copula

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The Impact of COVID-19 Pandemic on the Relationship Structure between Volatility and Trading Volume in the BTC Market: A CRQ approach (COVID-19 팬데믹이 BTC 변동성과 거래량의 관계구조에 미친 영향 분석: CRQ 접근법)

  • Park, Beum-Jo
    • Economic Analysis
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    • v.27 no.1
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    • pp.67-90
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    • 2021
  • This study found an interesting fact that the nonlinear relationship structure between volatility and trading volume changed before and after the COVID-19 pandemic according to empirical analysis using Bitcoin (BTC) market data that sensitively reflects investors' trading behavior. That is, their relationship appeared positive (+) in a stable market state before COVID-19 pandemic, as in theory based on the information flow paradigm. In a state under severe market stress due to COVID-19 pandemic, however, their dependence structure changed and even negative (-). This can be seen as a consequence of increased market stress caused by COVID-19 pandemics from a behavioral economics perspective, resulting in structural changes in the asset market and a significant impact on the nonlinear dependence of volatility and trading volume (in particular, their dependence at extreme quantiles). Hence, it should be recognized that in addition to information flows, psychological phenomena such as behavioral biases or herd behavior, which are closely related to market stress, can be a key in changing their dependence structure. For empirical analysis, this study performs a test of Ross (2015) for detecting a structural change, and proposes a Copula Regression Quantiles (CRQ) approach that can identify their nonlinear relationship structure and the asymmetric dependence in their distribution tails without the assumption of i.i.d. random variable. In addition, it was confirmed that when the relationship between their extreme values was analyzed by linear models, incorrect results could be derived due to model specification errors.

Estimation of the joint conditional distribution for repeatedly measured bivariate cholesterol data using nonparametric copula (비모수적 코플라를 이용한 반복측정 이변량 자료의 조건부 결합 분포 추정)

  • Kwak, Minjung
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.3
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    • pp.689-700
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    • 2016
  • We study estimation and inference of the joint conditional distributions of bivariate longitudinal outcomes using regression models and copulas. For the estimation of marginal models we consider a class of time-varying transformation models and combine the two marginal models using nonparametric empirical copulas. Regression parameters in the transformation model can be obtained as the solution of estimating equations and our models and estimation method can be applied in many situations where the conditional mean-based models are not good enough. Nonparametric copulas combined with time-varying transformation models may allow quite flexible modeling for the joint conditional distributions for bivariate longitudinal data. We apply our method to an epidemiological study of repeatedly measured bivariate cholesterol data.

Estimation and Performance Analysis of Risk Measures using Copula and Extreme Value Theory (코퓰러과 극단치이론을 이용한 위험척도의 추정 및 성과분석)

  • Yeo, Sung-Chil
    • The Korean Journal of Applied Statistics
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    • v.19 no.3
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    • pp.481-504
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    • 2006
  • VaR, a tail-related risk measure is now widely used as a tool for a measurement and a management of financial risks. For more accurate measurement of VaR, recently we are particularly concerned about the approach based on extreme value theory rather than the traditional method based on the assumption of normal distribution. However, many studies about the approaches using extreme value theory was done only for the univariate case. In this paper, we discuss portfolio risk measurements with modelling multivariate extreme value distributions by combining copulas and extreme value theory. We also discuss the estimation of ES together with VaR as portfolio risk measures. Finally, we investigate the relative superiority of EVT-copula approach than variance-covariance method through the back-testing of an empirical data.

Depth-Based rank test for multivariate two-sample scale problem

  • Digambar Tukaram Shirke;Swapnil Dattatray Khorate
    • Communications for Statistical Applications and Methods
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    • v.30 no.3
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    • pp.227-244
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    • 2023
  • In this paper, a depth-based nonparametric test for a multivariate two-sample scale problem is proposed. The proposed test statistic is based on the depth-induced ranks and is thus distribution-free. In this article, the depth values of data points of one sample are calculated with respect to the other sample or distribution and vice versa. A comprehensive simulation study is used to examine the performance of the proposed test for symmetric as well as skewed distributions. Comparison of the proposed test with the existing depth-based nonparametric tests is accomplished through empirical powers over different depth functions. The simulation study admits that the proposed test outperforms existing nonparametric depth-based tests for symmetric and skewed distributions. Finally, an actual life data set is used to demonstrate the applicability of the proposed test.

A Study on Measuring the Integrated Risk of Domestic Banks Using the Copula Function (코플라 함수를 이용한 국내 시중은행의 통합위험 측정)

  • Chang, Kyung-Chun;Lee, Sang-Heon;Kim, Hyun-Seok
    • Management & Information Systems Review
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    • v.30 no.4
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    • pp.359-383
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    • 2011
  • One of the representative prudential regulations is the capital regulation. The current regulation and international criteria are just simply adding up the market risk and credit risk. According to the portfolio theory due to diversification effect the total risk is less than the summation of market and credit risk. This paper investigates to verify the existence of diversification effect in measuring the integrated risk of financial firm by the copula function, which is combine the different distribution maintain their propriety. The result of the test shows that in measuring the integrated risk not only the correlation and but also the proprieties of market and credit risk distribution are very important. And the tail of risk distribution is important when measuring the economic capital, especially the external impact to the financial market. This paper's contribution is that the empirical evidence in considering the relationship between market and credit risk the integrated risk is less than sum of them.

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Improved first-order method for estimating extreme wind pressure considering directionality for non-typhoon climates

  • Wang, Jingcheng;Quan, Yong;Gu, Ming
    • Wind and Structures
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    • v.31 no.5
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    • pp.473-482
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    • 2020
  • The first-order method for estimating the extreme wind pressure on building envelopes with consideration of the directionality of wind speed and wind pressure is improved to enhance its computational efficiency. In this improved method, the result is obtained directly from the empirical distribution of a random selection of annual maximum wind pressure samples generated by a Monte Carlo method, rather than from the previously utilized extreme wind pressure probability distribution. A discussion of the relationship between the first- and full-order methods indicates that when extreme wind pressures in a non-typhoon climate with a high return period are estimated with consideration of directionality, using the relatively simple first-order method instead of the computationally intensive full-order method is reasonable. The validation of this reasonableness is equivalent to validating two assumptions to improve its computational efficiency: 1) The result obtained by the full-order method is conservative when the extreme wind pressure events among different sectors are independent. 2) The result obtained by the first-order method for a high return period is not significantly affected when the extreme wind speeds among the different sectors are assumed to be independent. These two assumptions are validated by examples in different regions and theoretical derivation.

The Effect of E-commerce Platform Seller Signals on Revenue: Focusing on the Moderating Effect of Keyword Specificity (e-커머스 플랫폼 판매자 신호가 수익에 미치는 영향: 키워드 구체성의 조절 효과를 중심으로)

  • Jungwon Lee;Jaehyun You
    • Information Systems Review
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    • v.25 no.2
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    • pp.103-123
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    • 2023
  • One of the valid perspectives in the e-commerce platform literature is the seller signaling strategy in the information asymmetry situation. In this study, a research model was constructed based on signaling theory and shopping goal theory to systematically explore the effects of a seller's signaling strategy on consumer decision-making. Specifically, the study examined whether the signaling effects (i.e., reputation, electronic word-of-mouth, price) provided by the seller differed based on consumers' shopping goals. For the empirical analysis, the Gaussian Copula method was employed, utilizing 26,246 data collected from Amazon, a leading e-commerce platform. The analysis revealed that the signals provided by the seller positively impacted sales, and this effect was moderated by consumers' shopping goals. Drawing on shopping goal theory, this study contributes to signaling theory and e-commerce literature by discovering differences in the effectiveness of a seller's signaling strategy based on the keywords input by consumers.