The Experts below are selected from a list of 306 Experts worldwide ranked by ideXlab platform
Eunho Ha - One of the best experts on this subject based on the ideXlab platform.
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use of mixed bivariate distributions for deriving inter station Correlation Coefficients of rain rate
Hydrological Processes, 2007Co-Authors: Eunho HaAbstract:Even though rain rate is notorious for its spatial and temporal intermittency, its effect on the second-order statistics of rain rate, especially the inter-station Correlation Coefficients, has not been intensively evaluated before. This study has derived and compared the inter-station Correlation coefficient of rain rate for three cases of data: (1) only the positive measurements at both locations; (2) the positive measurements at either one or both locations; (3) all the measurements including zero measurement at both locations. For these three cases, the inter-station Correlation Coefficients are analytically derived by applying the mixed bivariate log-normal distribution. As an application example, the model parameters are estimated using the rain rate data collected at the Geum River basin, Korea, and the resulting inter-station Correlation Coefficients are evaluated and compared with those estimated by applying the Gaussian distribution. We could find that highly biased inter-station Correlation Coefficients are unavoidable when simply estimating them under the assumption of Gaussian distribution, or even when using the log-transformed rain rate data.
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Use of mixed bivariate distributions for deriving inter‐station Correlation Coefficients of rain rate
Hydrological Processes, 2007Co-Authors: Eunho HaAbstract:Even though rain rate is notorious for its spatial and temporal intermittency, its effect on the second-order statistics of rain rate, especially the inter-station Correlation Coefficients, has not been intensively evaluated before. This study has derived and compared the inter-station Correlation coefficient of rain rate for three cases of data: (1) only the positive measurements at both locations; (2) the positive measurements at either one or both locations; (3) all the measurements including zero measurement at both locations. For these three cases, the inter-station Correlation Coefficients are analytically derived by applying the mixed bivariate log-normal distribution. As an application example, the model parameters are estimated using the rain rate data collected at the Geum River basin, Korea, and the resulting inter-station Correlation Coefficients are evaluated and compared with those estimated by applying the Gaussian distribution. We could find that highly biased inter-station Correlation Coefficients are unavoidable when simply estimating them under the assumption of Gaussian distribution, or even when using the log-transformed rain rate data.
Iickho Song - One of the best experts on this subject based on the ideXlab platform.
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Explicit Correlation Coefficients among random variables, ranks, and magnitude ranks
IEEE Transactions on Information Theory, 2006Co-Authors: Hyoungmoon Kwon, So Ryoung Park, Iickho SongAbstract:In this correspondence, we address the derivation of joint distributions and Correlation Coefficients for seven pairs of statistics used commonly in a number of signal detection schemes. The upper and lower bounds of the Correlation Coefficients are obtained, and relationships among the Correlation Coefficients are derived. Explicit values of the Correlation Coefficients evaluated for some specific noise distributions are shown for easy reference.
Huchang Liao - One of the best experts on this subject based on the ideXlab platform.
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novel Correlation Coefficients between hesitant fuzzy sets and their application in decision making
Knowledge Based Systems, 2015Co-Authors: Huchang Liao, Zeshui Xu, Xiaojun ZengAbstract:Hesitant fuzzy set (HFS) is now attracting more and more scholars' attention due to its efficiency in representing comprehensively uncertain and vague information. Considering that Correlation coefficient is one of the most widely used indices in data analysis, in this paper, after pointing out the weakness of the existing Correlation Coefficients between HFSs, we propose a novel Correlation coefficient formulation to measure the relationship between two HFSs. As a departure, some new concepts, such as the mean of a hesitant fuzzy element (HFE), the hesitant degree of a HFE, the mean of a HFS, the variance of a HFS and the Correlation between two HFSs are defined. Based on these concepts, a novel Correlation coefficient formulation between two HFSs is developed. Afterwards, the upper and lower bounds of the Correlation coefficient are defined. A theorem is given to determine these two bounds. It is stated that the Correlation coefficient between two HFSs should also be hesitant and thus the upper and lower bounds can further help to identify the Correlation coefficient between HFSs. The significant characteristic of the introduced Correlation coefficient is that it lies in the interval -1,1], which is in accordance with the classical Correlation coefficient in statistics, whereas all the old Correlation Coefficients between HFSs in the literature are within unit interval 0,1]. The weighted Correlation coefficient is also proposed to make it more applicable. In order to show the efficiency of the proposed Correlation Coefficients, they are implemented in medical diagnosis and cluster analysis. Some numerical examples are given to support the findings and also illustrate the applicability and efficiency of the proposed Correlation coefficient between HFSs.
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qualitative decision making with Correlation Coefficients of hesitant fuzzy linguistic term sets
Knowledge Based Systems, 2015Co-Authors: Huchang Liao, Xiaojun Zeng, Zeshui Xu, Jose M MerigoAbstract:The hesitant fuzzy linguistic term set (HFLTS) is a new and flexible tool in representing hesitant qualitative information in decision making. Correlation measures and Correlation Coefficients have been applied widely in many research domains and practical fields. This paper focuses on the Correlation measures and Correlation Coefficients of HFLTSs. To start the investigation, the definition of HFLTS is improved and the concept of hesitant fuzzy linguistic element (HFLE) is introduced. Motivated by the idea of traditional Correlation Coefficients of fuzzy sets, intuitionistic fuzzy sets and hesitant fuzzy sets, several different types of Correlation Coefficients for HFLTSs are proposed. The prominent properties of these Correlation Coefficients are then investigated. In addition, considering that different HFLEs may have different weights, the weighted Correlation Coefficients and ordered weighted Correlation Coefficients are further investigated. Finally, an application example concerning the traditional Chinese medical diagnosis is given to illustrate the applicability and validation of the proposed Correlation Coefficients of HFLTSs in the process of qualitative decision making.
Jose M Merigo - One of the best experts on this subject based on the ideXlab platform.
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qualitative decision making with Correlation Coefficients of hesitant fuzzy linguistic term sets
Knowledge Based Systems, 2015Co-Authors: Huchang Liao, Xiaojun Zeng, Zeshui Xu, Jose M MerigoAbstract:The hesitant fuzzy linguistic term set (HFLTS) is a new and flexible tool in representing hesitant qualitative information in decision making. Correlation measures and Correlation Coefficients have been applied widely in many research domains and practical fields. This paper focuses on the Correlation measures and Correlation Coefficients of HFLTSs. To start the investigation, the definition of HFLTS is improved and the concept of hesitant fuzzy linguistic element (HFLE) is introduced. Motivated by the idea of traditional Correlation Coefficients of fuzzy sets, intuitionistic fuzzy sets and hesitant fuzzy sets, several different types of Correlation Coefficients for HFLTSs are proposed. The prominent properties of these Correlation Coefficients are then investigated. In addition, considering that different HFLEs may have different weights, the weighted Correlation Coefficients and ordered weighted Correlation Coefficients are further investigated. Finally, an application example concerning the traditional Chinese medical diagnosis is given to illustrate the applicability and validation of the proposed Correlation Coefficients of HFLTSs in the process of qualitative decision making.
Hyoungmoon Kwon - One of the best experts on this subject based on the ideXlab platform.
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Explicit Correlation Coefficients among random variables, ranks, and magnitude ranks
IEEE Transactions on Information Theory, 2006Co-Authors: Hyoungmoon Kwon, So Ryoung Park, Iickho SongAbstract:In this correspondence, we address the derivation of joint distributions and Correlation Coefficients for seven pairs of statistics used commonly in a number of signal detection schemes. The upper and lower bounds of the Correlation Coefficients are obtained, and relationships among the Correlation Coefficients are derived. Explicit values of the Correlation Coefficients evaluated for some specific noise distributions are shown for easy reference.
