• Title/Summary/Keyword: logarithm regression

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LIL FOR KERNEL ESTIMATOR OF ERROR DISTRIBUTION IN REGRESSION MODEL

  • Niu, Si-Li
    • Journal of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.835-844
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    • 2007
  • This paper considers the problem of estimating the error distribution function in nonparametric regression models. Sufficient conditions are given under which the kernel estimator of the error distribution function based on nonparametric residuals satisfies the law of iterated logarithm.

Analysis of flexural fatigue failure of concrete made with 100% coarse recycled and natural aggregates

  • Murali, G.;Indhumathi, T.;Karthikeyan, K.;Ramkumar, V.R.
    • Computers and Concrete
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    • v.21 no.3
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    • pp.291-298
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    • 2018
  • In this study, the flexural fatigue performance of concrete beams made with 100% Coarse Recycled Concrete Aggregates (RCA) and 100% Coarse Natural Aggregates (NA) were statistically commanded. For this purpose, the experimental fatigue test results of earlier researcher were investigated using two parameter Weibull distribution. The shape and scale parameters of Weibull distribution function was evaluated using seven numerical methods namely, Graphical method (GM), Least-Squares (LS) regression of Y on X, Least-Squares (LS) regression of X on Y, Empherical Method of Lysen (EML), Mean Standard Deviation Method (MSDM), Energy Pattern Factor Method (EPFM) and Method of Moments (MOM). The average of Weibull parameters was used to incorporate survival probability into stress (S)-fatigue life (N) relationships. Based on the Weibull theory, as single and double logarithm fatigue equations for RCA and NA under different survival probability were provided. The results revealed that, by considering 0.9 level survival probability, the theoretical stress level corresponding to a fatigue failure number equal to one million cycle, decreases by 8.77% (calculated using single-logarithm fatigue equation) and 6.62% (calculated using double logarithm fatigue equation) in RCA when compared to NA concrete.

Statistical Analysis of Effective Components for Aroma of Sigumjang

  • Choi, Ung-Kyu;Park, June-Hong
    • Food Science and Biotechnology
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    • v.14 no.2
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    • pp.249-254
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    • 2005
  • The relationship between Sigumjang gas chromatographic patterns precisely analyzed with capillary column and ranked order in sensory analysis was investigated by stepwise multiple regression analysis. Highly predictable multiple regression models were obtained in the analysis. Ninety percent of the Sigumjang aroma was explained by the regression models at step 15 in four transformation except for absolute value transformed with root square and relative value transformed with logarithm. The aroma of Sigumjang was most affected by 2,3-dimethylpyrazine at absolute value and absolute value transformed with logarithm and by 2-furancarboxaldehyde in other transformation. The quality of sigumjang was highly affected by ${\beta}$-phallendrenal, methylpyrazine, tetramethylpyrazine, 5-methyl-2-furancarboxaldehyde, unknown 2, octanoic acid, 4-ethylphenol, methyl 10,13-octadecanoate and ethyl linoleate.

Taste Characteristics of Kanjang Made with Barley Bran (보리등겨로 제조한 간장의 맛성분 특성)

  • Son, Dong-Hwa;Kwon, O-Jun;Choi, Ung-Kyu;Kwon, O-Jin;Lee, Suk-Il;Im, Moo-Hyeg;Kwon, Kwang-Il;Kim, Sung-Hong;Chung, Yung-Gun
    • Applied Biological Chemistry
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    • v.45 no.1
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    • pp.18-24
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    • 2002
  • This study was conducted to find out optimum conditions for kanjang fermented with barley bran. The correlation between taste components and sensory evaluation score was analyzed with stepwise multiple regression analysis. It was revealed that the taste of kanjang was explained with the mix of free amino acids, free sugars and organic acids. The highest multiple correlation coefficient was obtained from absolute value transformed with logarithm. Thus, stepwise multiple regression analysis was conducted with absolute value transformed with logarithm, for which F-value was highest and standard error of estimation was lowest among the multiple regression models transformed with six variables. The stepwise multiple regression analysis showed that the taste components which most contribute to the quality of taste of kanjang fermented with barley bran was salty taste component followed by palatable taste component, and bitter taste component.

A simple model for ground surface settlement induced by braced excavation subjected to a significant groundwater drawdown

  • Zhang, Runhong;Zhang, Wengang;Goh, A.T.C.;Hou, Zhongjie;Wang, Wei
    • Geomechanics and Engineering
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    • v.16 no.6
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    • pp.635-642
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    • 2018
  • Braced excavation systems are commonly required to ensure stability in construction of basements for shopping malls, underground transportation and other habitation facilities. For excavations in deposits of soft clays or residual soils, stiff retaining wall systems such as diaphragm walls are commonly adopted to restrain the ground movements and wall deflections in order to prevent damage to surrounding buildings and utilities. The ground surface settlement behind the excavation is closely associated with the magnitude of basal heave and the wall deflections and is also greatly influenced by the possible groundwater drawdown caused by potential wall leakage, flow from beneath the wall, flow from perched water and along the wall interface or poor panel connections due to the less satisfactory quality. This paper numerically investigates the influences of excavation geometries, the system stiffness, the soil properties and the groundwater drawdown on ground surface settlement and develops a simplified maximum surface settlement Logarithm Regression model for the maximum ground surface settlement estimation. The settlements estimated by this model compare favorably with a number of published and instrumented records.

A Study on the Reference Electrode for Al Concentration Sensor in Zinc Galvanizing Melt (용융아연 도금욕중 Al농도 센서의 기준전극에 대한 연구)

  • Jung, W.G.;Jung, S.H.
    • Korean Journal of Materials Research
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    • v.16 no.2
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    • pp.129-136
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    • 2006
  • In order to get basic information on the reference electrode material for the long life Al concentration sensor in zinc galvanizing melt, the workability and stability of fluorine potential cell with $CaF_2$ single crystal electrolyte were examined carefully at constant temperature for six kinds of reference materials (Zn, Sn, Cd, Bi, Pb, Al-Sn alloy + fluorides). Good workability and stability of the sensor were found in sensor with $Bi+BiF_3$ reference electrode. The Al sensor with $Bi+BiF_3$ reference electrode was assembled and was tested in Zn-Al melt with different Al concentration. The EMF was changed rapidly with the change of Al concentration and was stabilized in a short time. Thus the response of EMF was satisfactory for $CaF_2$ sensor. The correlationship between EMF from the sensor and logarithm of Al concentration has been derived from the least square regression method. E/mV=57.515log[wt% Al]+1883.3 R=0.9717 ($0.013{\leq}[wt% Al]{\leq}0.984$) The EMF from Al sensor was increased linearly against logarithm of [wt% Al]. The fluorine potential of Zn-Al melt was also calculated to be in the range of $10^{-60}{\sim}10^{-61}$ Pa for the present experiemental condition.

Estimation of Initial Concentrations of Phenanthrene and Atrazine from Soil Properties and Bioavailability During Aging

  • Chung, Namhyun
    • Journal of Applied Biological Chemistry
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    • v.44 no.4
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    • pp.194-198
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    • 2001
  • Contaminated sites are often abandoned for an extended period of time, thus organopollutants becoming sequestered. The information on the initial concentrations of the contaminants would be helpful for the economic bioremediation of the chemicals. The present study estimated the initial concentrations of atrazine and phenanthrene through multiple regression analyses using soil properties and the amount of chemicals available in situ. Percentage mineralized or extracted was best correlated with organic C or logarithm of organic C, and the $R^2$ values were 0.548 and 0.894 for atrazine and phenanthrene, respectively. Estimation of the initial concentration of the chemicals was then calculated from both the percentage mineralized or extracted and the amount of chemicals extracted or mineralized. Results showed that the estimation of the initial concentration of the chemical at the time of contamination is feasible.

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Clothing Expenditure Analysis of Urban Households (도시가계의 피복비지출에 관한 연구)

  • 배미경
    • Journal of the Korean Home Economics Association
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    • v.35 no.1
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    • pp.415-428
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    • 1997
  • In the present study we examined clothing expenditure patterns and related variables in Korea. In addition we analyzed the differences of clothing expenditure patterns between overall overspenders and non-overspenders. We use the Family Income and Expenditure Study published by the National Statistical Office of Korea. Double logarithm functional forms were used to adjust the normality of sample distribution and multiple regression analyses and t-test were utilized as a statistical tools. The present study was divided into four folders. First the income elasticity of clothing expenditures was examined by different groups such as age job and education levels of households as percentage change of clothing expenditures to a percentage change of income. Second to analyze the effects of demogtraphic and socio-economic variables on clothing expenditure we utlized the standardized coefficients in the separate regression equation by demographic and socio-economic variables. Third using spending to income ratio we investigated the differnces of the clothing expenditure patterns between overall overspenders and non-overspenders. Fourth the effects of independent variables by ovespenders and non-overspenders werediscussed.

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An Analytical Study of the Flexural Deformation for High Strength Concrete Structures using Reliability Theory (신뢰성 이론을 이용한 500kgf/$\textrm{cm}^2$의 고강도콘크리트 구조물에 대한 휨변형의 해석적 연구)

  • 송재호;최광진;김민웅;홍원기
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.04a
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    • pp.231-236
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    • 1995
  • The object of this thesis is an analytical study on flexural deformation of high strength concrete structures using reliability theory. Using the established experimental data that have been presented in various documents the stress-strain relationship curves of high strength(500kgf/$\textrm{cm}^2$)models are proposed. Based on both methods of logarithm regression analysis and multiple regression analysis adopted in order to establish the relationships between design parameters, response random variables and flexural deformation analyzed using Monte Carlo simulation and Simpson composite formula. Additional random variables are introduced to incorporate both the confidence in the analytical accuracy of engineering mechanics associated with structural response quantities and the uncertainty in the construction quality control. The result is expected to accomodate other important design parameter of high strength concrete design in treating reliability theory that practicing engineers, structural engineering often face.

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Impact of Network Formation on Entrepreneurial Performance and Growth: A Study of Selected Small Enterprises in Bangladesh

  • Bhuiyan, Bashir Ahmed;Imam, Mahmood Osman
    • Asia-Pacific Journal of Business
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    • v.3 no.1
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    • pp.29-38
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    • 2012
  • This study aims at evaluating the impact of network formation variables and found to have positive impact on the economic performance and growth of the enterprises. The calucation of the weighted scores of networking statements brought some affirmative results to influence the performance of the enterprises. Through multiple regression and logistic regression models it is identified that network formation variables like service receiving status, consultation of the family, other business dummy and attendance in fair have some significant positive impact both on the growth and performance of the enterprises. In addition to above variables, from the set of enterprise characteristics natural logarithm of the market value of total assets and from the entrepreneurs' characteristics set of variables, schooling year and squared value of the experience have been found to have significant positive impact. Finally, it is concluded in the study that to enhance the performance and growth of the enterprises, government and policy rlated organizations need to consider important variables that have positive impact in supplying the entrepreneurial resources especially, developing the net-working relationship.

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