• Title/Summary/Keyword: Box-Cox Transformation

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Estimating WTP for the reduction of disamenity in the Seoul Metropolitan Area Landfill site using the Hedonic Pricing Model (헤도닉가격모형을 이용한 수도권매립지 유발 비효용(disamenity) 감소에 대한 지불의사액 추정)

  • Kang, Heechan
    • Environmental and Resource Economics Review
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    • v.29 no.3
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    • pp.335-362
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    • 2020
  • Using the Hedonic pricing model using Box-Cox transformation, this paper estimated the marginal effect (implicit price) of odors from landfill in the metropolitan area on housing prices and the willingness to pay for changes in certain odor conditions. This paper utilized the proximity from the landfill in the metropolitan area as a environmental variable, and analyzed the effect of various housing characteristic variables on the sale price of apartments within a radius of 5 km from the landfill. In particular, because odors factor have various heterogeneity, we applied hedonic price models instead of stated-preference methods with various types of functional forms through Box-Cox transformation, considering the heterogeneity of each region. Estimates show that the marginal value (implicit price) for the distance from the odor source was 0.227 to 0.533 depending on the function type of the estimated model. In addition, when other house factors are the same, the marginal willingness to pay for a distance of 1km from the odor source was calculated to be 16.79 to 51.76 thousand dollar depending on the type of function. Finally for the general Box-Cox model, the annual WTP was estimated to be 3,229dollar.

Assessment of Uncertainty for Applying Nash's Model Using the Hydrologic Similarity of Basins (유역의 수문학적 상사성을 이용한 Nash 모형의 불확실성 평가)

  • Seong, Kee-Won
    • Journal of Korea Water Resources Association
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    • v.36 no.3 s.134
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    • pp.399-411
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    • 2003
  • An approach determining a confidence interval of Nash's observed mean instantaneous unit hydrograph is developed. In the approach, both two parameters are treated as correlated gaussian random variables based on the theory of Box-Cox transformation and the regional similarity relation, so that linear statistical parameter estimation is possible. A parametric bootstrap method is adopted to give the confidence interval of the mean observed hydrograph. The proposed methodology is also applicable to estimate the parameters of Nash's model for un-gauged basins. An application to a watershed has shown that the proposed approach is adequate to assess the uncertainty of the Nash's hydrograph and to evaluate parameters for un-gauged basins.

Analysis and Prediction of Anchovy Fisheries in Korea ARIMA Model and Spectrum Analysis (한국 멸치어업의 어획량 분석과 예측 ARIMA 모델 및 스펙트럼 해석)

  • PARK Hae-Hoon;YOON Gab-Dong
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.29 no.2
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    • pp.143-149
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    • 1996
  • Forecasts of the monthly catches of anchovy in Korea were carried out by the seasonal Autoregressive Integrated Moving Average (ARIMA) model and spectral analysis. The seasonal ARIMA model is as follows: $$(1-0.431B)(1-B^{12})Z_t=(1-0.882B^{12})e_t$$ where: $Z_t=value$ at month $t;\;B^{p}$ is a backward shift operator, that is, $B^pZ_t=Z_{t-p};$ and $e_t=error$ term at month t, which is to forecast 24 months ahead the anchovy catches in Korea. The prediction error by the Box-Cox transformation on monthly anchovy catches in Korea was less than that by the logarithmic transformation. The equation of the Box-Cox transformation was $Y'=(Y^{0.58}-1)/0.58$. Forecasts of the monthly anchovy catches for $1991\~1992$, which were compared with the actual catches, had an absolute percentage error (APE) range of $1.0\~63.2\%$. Total observed annual catches in 1991 and 1992 were 170,293 M/T and 168,234 M/T respectively, while the predicted catches were 148,201 M/T and 148,834 M/T $(API\;13.0\%\;and\;11.5\%,\;respectively)$. The spectrum analysis of the monthly catches of anchovy showed some dominant fluctuations in the periods of 2.2, 6.1, 10.2 12.0 and 14.7 months. The spectrum analysis was also useful for selecting the ARIMA model.

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Verb concept clustering using Independent Component Analysis and Box-Cox transformation (독립성분분석과 Box-Cox 변환을 이용한 동사 개념 클러스터링)

  • Chagnaa, Altangerel;Lee, Chang-Beom;Ock, Cheol-Young
    • Annual Conference on Human and Language Technology
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    • 2006.10e
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    • pp.164-170
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    • 2006
  • 본 논문에서는 한국어 동사의 개념적 클러스터링 방법을 제안하다. 사용되는 기법은 독립성분분석, Box-Cox 변환, 상관분석 등이다. 독립성분분석은 잠재적인 성분을 통계적 독립(statistical independence)에 기반하여 추출하는 분석 방법이다. 그런데, 독립성분분석에서는 mixture(동사)의 분포는 정규 분포(가우시안 분포)에 따른다고 가정한다. 따라서 동사의 분포를 보다 정규 분포화 할 필요가 있다. 이에 본 논문에서는 Box-Cox 변환을 이용하여 동사의 분포를 정규 분포에 근사한다. 또한, 독립성분분석에서는 추출할 적당한 성분의 개수를 결정할 수가 없다. 이에 본 논문에서는 주성분분석의 결과로 획득되는 고유치의 누적 기여율을 이용하여 독립성분의 수를 결정한다. 그리고, 추출된 독립성분 벡터와 동사 벡터간의 상관계수에 이용하여 독립성분(개념)에 밀접하게 관련 있는 동사들을 하나의 클러스터로 구성한다. 한국어 동사를 대상으로 클러스터링한 결과, Box-Cox 변환을 적용한 경우가 더 좋은 성능을 보였다.

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A Study on the Difference of Rainfall Intensity According to the Omission of Short-Term (20, 30, 40, 50 Minutes) Rainfall Data in Inducing I-D-F Curves (I-D-F곡선 유도 시 짧은 지속기간(20분, 30분, 40분, 50분) 강우자료 누락에 따른 강우강도 차이 고찰)

  • Lee, Hee Chang;Seong, Kee Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.40 no.5
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    • pp.465-475
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    • 2020
  • I-D-F curves were induced by Box-Cox transformation using rainfall data from five major cities in Korea: Seoul, Busan, Daegu, Daejeon, and Gwangju, as well as from Sancheong (South Gyeongsang province) and Yeongcheon (North Gyeongsang province) stations. The practicality of the Box-Cox transformation is more scalable than the traditional method of frequency analysis in terms of applicability because it is available even if the analysis data are insufficient to perform general frequency analysis and do not produce an appropriate probability density function. For the case in which rainfall data for the entire period (10-1440 minutes) and short-term period (20, 30, 40, 50 minutes) at the foregoing 7 stations are omitted, there was a relative error of -23.0 % to 14.7 % at a duration of 10 to 60 minutes below the 100-year frequency. Accordingly, rainfall analysis requires inducing I-D-F curves, including for the short term (20, 30, 40, 50 minutes), and if rainfall data are omitted for the short term (20, 30, 40, 50 minutes), it is necessary to increase the existing margin rate depending on the point in order to ensure the safe design of small-scale hydraulic structures.

Short Term Interest Rate Model Using Box-Cox Transformation

  • Choi, Young-Soo;Lee, Yoon-Dong
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.241-254
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    • 2007
  • This paper propose a new short-term interest rate model having a different nonlinear drift function and the same diffusion coefficient with Chan et al. (1992) model. The fractional polynomial power of the drift function in our model is linked to the local volatility elasticity of the diffusion coefficient. While the nonlinear drift function estimated by $A\"{\i}t$-Sahalia (1996a) and others has a feature that higher interest rates tend to revert downward and low rates upward, the drift function estimated by our nonlinear model shows that higher interest rate mean-reverts strongly, but, medium rates has almost zero drift and low rates has a very small drift. This characteristic coincides the empirical result based on the nonparametric methodology by Stanton (1997) and the implication by the scatter plot of the short rate data.

Correlation Test by Reduced-Spread of Fuzzy Variance

  • Kang, Man-Ki
    • Communications for Statistical Applications and Methods
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    • v.19 no.1
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    • pp.147-155
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    • 2012
  • We propose some properties for a fuzzy correlation test by reduced-spread fuzzy variance for sample fuzzy data. First, we define the condition of fuzzy data for repeatedly observed data or that which includes error term data. By using the average of spreads for fuzzy numbers, we reduce the spread of fuzzy variance and define the agreement index for the degree of acceptance and rejection. Given a non-normal random fuzzy sample, we have bivariate normal distribution by apply Box-Cox power fuzzy transformation and test the fuzzy correlation for independence between the variables provided by the agreement index.

Asymptotic Relative Efficiency of t-test Following Transformations

  • Yeo, In-Kwon
    • Journal of the Korean Statistical Society
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    • v.26 no.4
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    • pp.467-476
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    • 1997
  • The two-sample t-test is not expected to be optimal when the two samples are not drawn from normal populations. According to Box and Cox (1964), the transformation is estimated to enhance the normality of the tranformed data. We investigate the asymptotic relative efficiency of the ordinary t-test versus t-test applied transformation introduced by Yeo and Johnson (1997) under Pitman local alternatives. The theoretical and simulation studies show that two-sample t-test using transformed date gives higher power than ordinary t-test for location-shift models.

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An Analysis of the Effects of WTI on Korean Stock Market Using HAR Model (국내 주식시장 변동성에 대한 국제유가의 영향: 이질적 자기회귀(HAR) 모형을 사용하여)

  • Kim, Hyung-Gun
    • Environmental and Resource Economics Review
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    • v.30 no.4
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    • pp.535-555
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    • 2021
  • This study empirically analyzes the effects of international oil prices on domestic stock market volatility. The data used for the analysis are 10-minute high-frequency data of the KOSPI index and WTI futures price from January 2, 2015, to July 30, 2021. For using the high-frequency data, a heterogeneous autoregression (HAR) model is employed. The analysis model utilizes the advantages of high frequency data to observe the impact of international oil prices through realized volatility, realized skewness, and kurtosis as well as oil price return. In the estimation, the Box-Cox transformation is applied in consideration of the distribution of realized volatility with high skewness. As a result, it finds that the daily return fluctuation of the WTI price has a statistically significant positive (+) effect on the volatility of the KOSPI return. However, the volatility, skewness, and kurtosis of the WTI return do not appear to affect the volatility of the KOSPI return. This result is believed to be because the volatility of the KOSPI return reflects the daily change in the WTI return, but does not reflect the intraday trading behavior of investors.

Applying Hedonic Price Model to Analyzing Non-market Characteristic of Personal Computer (헤도닉 가격모형을 이용한 개인컴퓨터의 비시장 속성에 대한 가치추정)

  • 신승식;곽승준;유승훈
    • Journal of Korea Technology Innovation Society
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    • v.3 no.3
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    • pp.85-101
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    • 2000
  • The purpose of this study is to test whether prices of personal computers reflect their varying degrees of non-marketable characteristics including after-sales service. This purpose is carried out using the hedonic price model. In this paper, we estimated 74 functional forms of hedonic price model using the quadratic Box-Cox transformation function and selected one based on the three criteria: expected signs, the statistical significance of estimated coefficients, and goodness of fit in terms of root-mean-square-percentage-error. In this study, we found hat as the after-sales service level increases the price of the personal computer increases. This result is consistent with the hypothesis that the less after-sales service offered with a personal computer, the less consumers are willing to pay for the personal computer, when all else remain constant. This finding shows that since the market works indirectly to influence pricing, the need to rely on consumer protection legislation to guarantee after-sales service is lessened. This study also found that after-sales service supported by each personal computer producer is not a free service, thus produces have a profit incentive for providing after-sales service.

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