• 제목/요약/키워드: conditional distribution

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Test Statistics for Volume under the ROC Surface and Hypervolume under the ROC Manifold

  • Hong, Chong Sun;Cho, Min Ho
    • Communications for Statistical Applications and Methods
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    • 제22권4호
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    • pp.377-387
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    • 2015
  • The area under the ROC curve can be represented by both Mann-Whitney and Wilcoxon rank sum statistics. Consider an ROC surface and manifold equal to three dimensions or more. This paper finds that the volume under the ROC surface (VUS) and the hypervolume under the ROC manifold (HUM) could be derived as functions of both conditional Mann-Whitney statistics and conditional Wilcoxon rank sum statistics. The nullhypothesis equal to three distribution functions or more are identical can be tested using VUS and HUM statistics based on the asymptotic large sample theory of Wilcoxon rank sum statistics. Illustrative examples with three and four random samples show that two approaches give the same VUS and $HUM^4$. The equivalence of several distribution functions is also tested with VUS and $HUM^4$ in terms of conditional Wilcoxon rank sum statistics.

A Family of Truncated Skew-Normal Distributions

  • Kim, Hea-Jung
    • Communications for Statistical Applications and Methods
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    • 제11권2호
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    • pp.265-274
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    • 2004
  • The paper extends earlier work on the skew-normal distribution, a family of distributions including normal, but with extra parameter to regulate skewness. The present work introduces a singly truncated parametric family that strictly includes a truncated normal distribution, and studies its properties, with special emphasis on the relation with bivariate normal distribution.

저질이 천연수중 구리와 카드뮴의 화학종 분포에 미치는 영향 (Influence of Sediment on the Chemical Speciation of Copper and Cadmium in an Aquatic System)

  • 이군자;박청길
    • 한국환경과학회지
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    • 제1권2호
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    • pp.59-69
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    • 1992
  • In order to predict the distribution of chemical species of copper and cadmium in water, conditional stability constant and complexation capacity between copper or cadmium and natural aquatic sediment have been determined in a shallow lake in Haman, Kyungnam. Kinetic parameters were calculated by Langmuir isotherm equation. Conditional stability constant was log $K_{cuSed}=4.78 and log K_{cdSed}=4.45$. Complexation capacity was $1.70{\times}10^{-4}$moles/g for copper and $5.54{\times}10^{-5}$moles/g for cadmium. Accuracy of experimental values of conditional stability constant was checked by comparing the calculated concentration of the metals with the measured one. Relatively good agreement between these values was obtained. Relative errors were 8.9% for copper and 6.5% for cadmium. Data of the measured conditional stability constant were put into data base of MINEQL computer program, and concentration of various chemical species of copper and cadmium in a model aquatic system was calculated. Aquatic sediment was associated with copper at the concentration of $10^{-5M}(0.059g/\ell)$10-5M(0.059g/l) and with cadmium at the concentration of $10^{-6M}(0.018g/\ell)$, and it significantly influenced on the distribution of chemical species of the metals. This result showed that prediction of chemical species of the heavy metals in an aquatic system should be taken into account the influence of the sediment.

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Boosting green cars retail in Malaysia: The influence of conditional value on consumers behaviour

  • ALGANAD, Amr Mohammed Nasser;ISA, Normalisa Md;FAUZI, Waida Irani Mohd
    • 유통과학연구
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    • 제19권7호
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    • pp.87-100
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    • 2021
  • Purpose: This paper examined the role of conditional value in the green automotive industry. The relationships of conditional value's four factors, consumers' attitudes and consumers' intention to purchase green cars were investigated. The conditional value was extended by examining the effect of fuel prices. Research design, data, and methodology: This study is quantitatively designed. All variables were measured using a 7-point Likert-scale; 425 questionnaires were collected from the respondents in Malaysia. SmartPLS was utilized to examine the proposed nine hypotheses. Result: The results demonstrate a positive relationship between attitude and intention toward green cars. Additionally, the results of the relationships were as follows: fuel prices was the most significant predictor of Malaysian consumers' attitudes and consumers' intention to purchase green cars, followed by environmental consequences and government policy. However, retail sales promotions did not show a significant effect on both consumers' attitudes and intentions. Conclusion: The study's findings suggest that the Malaysian government should implement an integrated package that includes a fuel pricing policy that restricts the purchase of non-green cars, as well as a set of financial incentives for purchasing green cars. Moreover, it is valuable to conduct public awareness campaigns about the negative consequences of current consumption patterns.

상관개념의 발달과 교수학적 중재에 관한 소고 (The Development and Didactic Mediation of the Correlation Concept)

  • 남주현;이영하
    • 대한수학교육학회지:수학교육학연구
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    • 제15권3호
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    • pp.315-334
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    • 2005
  • 이 논문의 목적은 심리학적 이론을 기반으로 처음으로 연구된 상관개념의 발달 시기와 방법을 통계학적 관점에서 고찰함으로써 교수학적 중재의 시기와 방법에 대한 시사점을 찾고자 하는 것이다. 이러한 목적 하에 심리학적 접근의 근간이 되는 Inhelder & Piaget의 1958년 연구를 심층 분석하였다. 심리학적으로 먼저 발달시기가 연구된 상관개념은 비례, 확률개념을 선결조건으로 가지며 상관계수 공식에 초점을 맞춘 형식 논리적 입장을 취하고 있었다. 그러나 통계학적인 관점에서 상관개념은 분포개념의 일부로써, 조건부 분포의 비교를 통하여 상관개념을 파악하는 수준으로부터 비례개념과 확률개념까지 적용된 조건부 확률 분포에 이르는 수준으로 다양함을 알 수 있었다. 실질적으로 문헌연구에서도 11세${\~}$12세 정도의 형식적 조작기 초반에 이르는 학습자들에게서도 조건부 분포의 비교를 통한 상관에 대한 추론이 일어나고 있었다. 이를 통해 이 논문에서는 상관개념의 교수학적 중재의 시기를 앞당기는 것에 대한 고려와 상관개념을 분포개념의 일부로써 접근하는 방법에 대한 고려의 필요성을 주장하고 있다.

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망간단괴광상의 매장량평가를 위한 SIS (Sequential Indicator Simulation)의 응용 (The Application of SIS (Sequential Indicator Simulation) for the Manganese Nodule Fields)

  • 박찬영;강정극;전효택
    • 자원환경지질
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    • 제30권5호
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    • pp.493-498
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    • 1997
  • The purpose of this study is to develop geostatistical model for evaluating the abundance of deep-sea manganese nodule. The abundance data used in this study were obtained from the KODOS (Korea Deep Ocean Study) area. The variation of nodule abundance was very high within short distance, while sampling methods was very limited. As the distribution of nodule abundance showed non-gaussian, indicator simulation method was used instead of conditional simulation method and/or ordinary kriging. The abundance data were encoded into a series of indicators with 6 cutoff values. They were used to estimate the conditional probability distribution function (cpdf) of the nodule abundance at any unsampled location. The standardized indicator variogram models were obtained according to variogram analysis. This SIS method had the advantage over other traditional techniques such as the turning bands method and ordinary kriging. The estimating values by indicator conditional simulation near high abundance area were more detailed than by ordinary kriging and indicator kriging. They also showed better spatial characteristics of distribution of nodule abundance.

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조건부스펙트럼을 적용한 원전 격납건물의 비선형 동적 해석 기반 지진취약도평가 (Application of Conditional Spectra to Seismic Fragility Assessment for an NPP Containment Building based on Nonlinear Dynamic Analysis)

  • 신동현;박지훈;전성하
    • 한국지진공학회논문집
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    • 제25권4호
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    • pp.179-189
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    • 2021
  • Conditional spectra (CS) are applied to the seismic fragility assessment of a nuclear power plant (NPP) containment building for comparison with a relevant conventional uniform hazard response spectrum (UHRS). Three different control frequencies are considered in developing conditional spectra. The contribution of diverse magnitudes and epicentral distances is identified from deaggregation for the UHRS at a control frequency and incorporated into the conditional spectra. A total of 30 ground motion records are selected and scaled to simulate the probability distribution of each conditional spectra, respectively. A set of lumped mass stick models for the containment building are built considering nonlinear bending and shear deformation and uncertainty in modeling parameters using the Latin hypercube sampling technique. Incremental dynamic analysis is conducted for different seismic input models in order to estimate seismic fragility functions. The seismic fragility functions and high confidence of low probability of failure (HCLPF) are calculated for different seismic input models and analyzed comparatively.

Bayesian analysis of financial volatilities addressing long-memory, conditional heteroscedasticity and skewed error distribution

  • Oh, Rosy;Shin, Dong Wan;Oh, Man-Suk
    • Communications for Statistical Applications and Methods
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    • 제24권5호
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    • pp.507-518
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    • 2017
  • Volatility plays a crucial role in theory and applications of asset pricing, optimal portfolio allocation, and risk management. This paper proposes a combined model of autoregressive moving average (ARFIMA), generalized autoregressive conditional heteroscedasticity (GRACH), and skewed-t error distribution to accommodate important features of volatility data; long memory, heteroscedasticity, and asymmetric error distribution. A fully Bayesian approach is proposed to estimate the parameters of the model simultaneously, which yields parameter estimates satisfying necessary constraints in the model. The approach can be easily implemented using a free and user-friendly software JAGS to generate Markov chain Monte Carlo samples from the joint posterior distribution of the parameters. The method is illustrated by using a daily volatility index from Chicago Board Options Exchange (CBOE). JAGS codes for model specification is provided in the Appendix.

Identification of Plastic Wastes by Using Fuzzy Radial Basis Function Neural Networks Classifier with Conditional Fuzzy C-Means Clustering

  • Roh, Seok-Beom;Oh, Sung-Kwun
    • Journal of Electrical Engineering and Technology
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    • 제11권6호
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    • pp.1872-1879
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    • 2016
  • The techniques to recycle and reuse plastics attract public attention. These public attraction and needs result in improving the recycling technique. However, the identification technique for black plastic wastes still have big problem that the spectrum extracted from near infrared radiation spectroscopy is not clear and is contaminated by noise. To overcome this problem, we apply Raman spectroscopy to extract a clear spectrum of plastic material. In addition, to improve the classification ability of fuzzy Radial Basis Function Neural Networks, we apply supervised learning based clustering method instead of unsupervised clustering method. The conditional fuzzy C-Means clustering method, which is a kind of supervised learning based clustering algorithms, is used to determine the location of radial basis functions. The conditional fuzzy C-Means clustering analyzes the data distribution over input space under the supervision of auxiliary information. The auxiliary information is defined by using k Nearest Neighbor approach.

A Predictive Model for Sensory Difference Tests Accounting for Sequence Effects

  • Lee, Hye-Seong
    • Food Science and Biotechnology
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    • 제17권5호
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    • pp.1052-1059
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    • 2008
  • Sequential Sensitivity Analysis (SSA) and conditional stimulus model have been developed to describe sequence effects in difference tests and proposed to generate prediction of differences in sensitivity between various test protocols and to assist the appropriate selection of difference test. Yet, such models did not furnish a complete explanation of the relative sensitivity in 4 different versions of 3-alternative forced choice (AFC) tests where various interstimulus rinses were introduced. In the present study, the vector of the contrasts between various conditional stimuli were measured using same-different and 2-AFC and a new 16-distribution conditional stimulus model was developed by refining Lee and O'Mahony's contrast model. This new model gave superior predictions than previous models.