• Title/Summary/Keyword: 이항 계수

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Log-density Ratio with Two Predictors in a Logistic Regression Model (로지스틱 회귀모형에서 이변량 정규분포에 근거한 로그-밀도비)

  • Kahng, Myung Wook;Yoon, Jae Eun
    • The Korean Journal of Applied Statistics
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    • v.26 no.1
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    • pp.141-149
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    • 2013
  • We present methods for studying the log-density ratio that enables the selection of the predictors and the form to be included in the logistic regression model. Under bivariate normal distributional assumptions, we investigate the form of the log-density ratio as a function of two predictors. If two covariance matrices are equal, then the crossproduct and quadratic terms are not needed. If the variables are uncorrelated, we do not need the crossproduct terms, but we still need the linear and quadratic terms. We also explore other conditions in which the crossproduct and quadratic terms are not needed in the logistic regression model.

Performance of Turbo Codes in the Direct Detection Optical PPM Channel (직접 검파 펄스 위치 변조 광통신 채널에서의 터보 부호의 성능)

  • 이항원;이상민
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.6C
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    • pp.570-579
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    • 2003
  • The performance of turbo codes is investigated in the direct detection optical PPM channel. We assume that an ideal photon counter is used as an optical detector and that the channel has background noise as well as quantum noise. Resulting channel model is M-ary PPM Poisson channel. We propose the structure of the transmitter and receiver for applying turbo codes to this channel. We also derive turbo decoding algorithm for the proposed coding system, by modifying the calculation of the branch metric inherent in the original turbo decoding algorithm developed for the AWGN channel. Analytical bounds are derived and computer simulation is performed to analyze the performance of the proposed coding scheme, and the results are compared with the performances of Reed-Solomon codes and convolutional codes.

Comparison of Bias Correction Methods for the Rare Event Logistic Regression (희귀 사건 로지스틱 회귀분석을 위한 편의 수정 방법 비교 연구)

  • Kim, Hyungwoo;Ko, Taeseok;Park, No-Wook;Lee, Woojoo
    • The Korean Journal of Applied Statistics
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    • v.27 no.2
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    • pp.277-290
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    • 2014
  • We analyzed binary landslide data from the Boeun area with logistic regression. Since the number of landslide occurrences is only 9 out of 5000 observations, this can be regarded as a rare event data. The main issue of logistic regression with the rare event data is a serious bias problem in regression coefficient estimates. Two bias correction methods were proposed before and we quantitatively compared them via simulation. Firth (1993)'s approach outperformed and provided the most stable results for analyzing the rare-event binary data.

Hong JeongHa's Tianyuanshu and Zhengcheng Kaifangfa (홍정하(洪正夏)의 천원술(天元術)과 증승개방법(增乘開方法))

  • Hong, Sung Sa;Hong, Young Hee;Kim, Young Wook
    • Journal for History of Mathematics
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    • v.27 no.3
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    • pp.155-164
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    • 2014
  • Tianyuanshu and Zengcheng Kaifangfa introduced in the Song-Yuan dynasties and their contribution to the theory of equations are one of the most important achievements in the history of Chinese mathematics. Furthermore, they became the most fundamental subject in the history of East Asian mathematics as well. The operations, or the mathematical structure of polynomials have been overlooked by traditional mathematics books. Investigation of GuIlJib (九一集) of Joseon mathematician Hong JeongHa reveals that Hong's approach to polynomials is highly structural. For the expansion of $\prod_{k=11}^{n}(x+a_k)$, Hong invented a new method which we name Hong JeongHa's synthetic expansion. Using this, he reveals that the processes in Zhengcheng Kaifangfa is not synthetic division but synthetic expansion.

Developing an Accident Model for Rural Signalized Intersections Using a Random Parameter Negative Binomial Method (RPNB모형을 이용한 지방부 신호교차로 교통사고 모형개발)

  • PARK, Min Ho;LEE, Dongmin
    • Journal of Korean Society of Transportation
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    • v.33 no.6
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    • pp.554-563
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    • 2015
  • This study dealt with developing an accident model for rural signalized intersections with random parameter negative binomial method. The limitation of previous count models(especially, Poisson/Negative Binomial model) is not to explain the integrated variations in terms of time and the distinctive characters a specific point/segment has. This drawback of the traditional count models results in the underestimation of the standard error(t-value inflation) of the derived coefficient and finally affects the low-reliability of the whole model. To solve this problem, this study improves the limitation of traditional count models by suggesting the use of random parameter which takes account of heterogeneity of each point/segment. Through the analyses, it was found that the increase of traffic flow and pedestrian facilities on minor streets had positive effects on the increase of traffic accidents. Left turning lanes and median on major streets reduced the number of accidents. The analysis results show that the random parameter modeling is an effective method for investigating the influence on traffic accident from road geometries. However, this study could not analyze the effects of sequential changes of driving conditions including geometries and safety facilities.

Development of Safety Performance Function Based on Expressway Alignment Homogeneous Section (고속도로 선형 동질구간 기반의 안전성능함수 개발)

  • Seo, Im-Ki;Kang, Dong-Yoon;Park, Je-Jin;Park, Shin Hyoung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.35 no.2
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    • pp.397-405
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    • 2015
  • In the past, expressways focused on mobility. However, the paradigm of expressways fuction today has been changed from fast expressways to safe expressways as people's quality of living and consciousness level heightened. In 2012, 3,550 traffic accidents occurred on expressways and 371 people died. The fatality rate of traffic accidents on expressways is almost twice that on general national roads. This study developed accident forecast models (safety performance functions) based on the number of traffic accidents and traffic volumes on six major lines on expressways. It is difficult to forecast safety performance functions for each expressway line because the lines and the scales of expressways are different from each other; therefore, integrated safety performance functions of six lines were determined first, and the coefficients, which can correct the traffic accidents on each line, were calculated. It is believed that this study will contribute in the safer management of expressways by being used as basic information in the establishment of traffic safety strategies for each expressway line in prevention of traffic accidents. Moreover, more studies would be required in the future, which would suggest reliable accident forecasts by calculating correction coefficients by line through integrated models by groups dependent on the characteristics of each line.

Determination of acoustic emission signal attenuation coefficient of concrete according to dry, saturation, and temperature condition (포화유무 및 온도조건에 따른 콘크리트 음향방출 신호 감쇠계수 결정)

  • Lee, Hang-Lo;Hong, Chang-Ho;Kim, Jin-Seop;Kim, Ji-Won
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.24 no.1
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    • pp.39-55
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    • 2022
  • This study carried out the laboratory tests for AE signal attenuation to determine the attenuation coefficient (α) of silo concrete in Gyeongju low and intermediate-level disposal environments. The concrete samples were prepared by satisfying the concrete mixing ratio used in the Gyeongju disposal silo, and these samples were additionally exposed depending on the temperature conditions and saturation and, dry condition. As a result of attenuation tests according to the transmission distance on three concrete specimens for each disposal condition, the AE amplitude and absolute energy measured on the saturated concrete were higher than that of the dry concrete in the initial range of the signal transmission distance, but the α of the saturated concrete was higher than that of the dry concrete. Regardless of the saturation and dry conditions, the α tended to decrease as the temperature increases. The α had a more major influence on the saturation and dry condition than the temperature condition, which means that the saturation and dry condition is the main consideration in measuring the signal attenuation of a concrete disposal structure. The α of concrete in the disposal environment expect to be used to predict the integrity of silos concrete in Gyeongju low and intermediate-level disposal environments by estimating the actual AE parameter values at the location of cracks and to determine the optimum location of sensors.

Numerical Analysis of Fault Stability in Janggi Basin for Geological CO2 Storage (CO2 지중저장에 따른 장기분지 내 단층안정성 기초해석)

  • Jung-Wook Park;Hanna Kim;Hangbok Lee;Chan-Hee Park;Young Jae Shinn
    • Tunnel and Underground Space
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    • v.33 no.5
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    • pp.399-413
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    • 2023
  • The present study conducted a numerical modeling of CO2 injection at the Janggi Basin using the TOUGH-FLAC simulator, and examined the hydro-mechanical stability of the aquifer and the fault. Based on the site investigations and a 3D geological model of the target area, we simulated the injection of 32,850 tons of CO2 over a 3-year period. The analysis of CO2 plume with different values of the aquifer permeability revealed that assuming a permeability of 10-14 m2 the CO2 plume exhibited a radial flow and reached the fault after 2 years and 9 months. Conversely, a higher permeability of 10-13 m2 resulted in predominant westward flow along the reservoir, with negligible impact on the fault. The pressure changes around the injection well remained below 0.6 MPa over the period, and the influence on the hydro-mechanical stability of the reservoir and fault was found to be insignificant.

Analysis of Stress level of Korean Household Members due to Household Debt (한국국민의 가계 금융부채에 대한 체감도 분석)

  • Oh, Man-Suk;Hyun, Seung-Me
    • The Korean Journal of Applied Statistics
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    • v.22 no.2
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    • pp.297-307
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    • 2009
  • Korean household debt is one of the main sources of the current financial crisis. This paper studies the impact of household members' attributes such as a type of housing(self-own or rent), education, age, average monthly income of the head of household, and the area of residence, on the stress level of the household members due to household debt. We analyze a real data set collected by KB Kookmin Bank in 2004. We consider low and high stress level as a binary response variable and use a logistic regression model with the attributes of household members as explanatory variables. A simple but well-fitting model is selected by backward elimination method based on the likelihood statistic for goodness-of-fit test, and the impact of the attributes on the stress level is studied from parameter estimates of the selected model. We also perform the similar analysis on a binary response variable which distinguishes households with no debt from the rest. From the analysis, the stress level tends to be low for households with self-own houses, high average monthly income, low education level, and young members.

Relationship Between Accidents and Non-Homogeneous Geometrics: Main Line Sections on Interstates (기하구조의 비동질성을 고려한 교통사고와의 관계: 고속도로 본선구간을 중심으로)

  • Park, Min Ho;Noh, Kwan Sub;Kim, Jongmin
    • Journal of Korean Society of Transportation
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    • v.32 no.2
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    • pp.170-178
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    • 2014
  • Until now, several research on the relationship of traffic crash occurrences and geometric had been conducted and revealed that projects of road alignment, geometric improvement and hazardous segment selection reduced the number of accidents and accident severities. However, such variables did not consider the non-homogeneous characteristics of roadway segments due to the difficulty of data collection, which results in under-estimation of the standard error affecting the overall modeling goodness-of-fit. This study highlights the importance of non-homogeneity by looking at the effect of the non-homogeneous geometric variables through the modeling process. The model delivers meaningful results when using some geometric variables without relevant geometrics' variables.