• Title/Summary/Keyword: 로지스틱 함수식

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Modelling the Subway Demand Estimation by Station Using the Multiple Regression Analysis by Category (카테고리별 다중회귀분석 방법을 이용한 지하철역별 수요 추정 모형 개발)

  • Shon, Eui-Young;Kwon, Byoung-Woo;Lee, Man-Ho
    • Journal of Korean Society of Transportation
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    • v.22 no.1 s.72
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    • pp.33-42
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    • 2004
  • 지하철역별 수요는 개통 후 경과 연도에 따라서 S자 형태로 증가한다. 즉 개통 초기에는 잠재되어 있던 지하철 수요가 시간의 경과에 따라 계속적으로 증가하다가, 개통 후 10$\sim$13년 정도가 경과하면 최대를 나타낸 후 거의 정체하는 현상을 보인다. 그러나 지금까지 지하철 수요를 추정하기 위해서 이용되었던 4단계 모형은 이러한 지하철 수요의 증가 추세를 반영할 수 없기 때문에 실제 수요와 많은 차이를 보였다. 따라서 본 연구에서는 이러한 문제를 해결해 보고자 서울시 지하철 2$\sim$8호선의 실제 수요를 토대로 지하철역별 수요, 특히 순수한 승차인원을 추정하는 모형을 개발하였다. 모형에 적용되는 함수식은 실제 지하철역별 수요와 가장 유사한 형태를 보이고 있는 로지스틱 함수식을 이용하였다. 또한 각각의 지하철역별로 나타나는 상이한 특성은 카테고리로 분류하여 모형에 반영하였다. 카테고리는 토지이용도, 사회경제활동의 규모, 그리고 지하철역의 특성에 따라 분류하였다. 각 카테고리별 특성을 대표하는 독립 변수로 인구 종사자수, 학생수와 개통 후 경과 연도 등을 선정하였다. 그 결과 카테고리별로 추정된 지하철역별 수요는 통계적으로 매우 유의한 것으로 나타났다. 본 연구는 지하철역별로 승차하는 순수한 수요를 보다 정확하게 추정하기 위한 모형을 개발하는 것이 주된 목적이다. 반면에 본 모형을 이용하여 지하철역별 하차 수요 및 횐승 수요를 추정하는 것은 어렵다. 따라서 기존에 지하철 수요를 추정하는 데에 가장 많이 사용된 4단계 모형과 접목하여야 하며, 이에 대한 방안도 본 연구에서 제시하였다.

Development of heavy rain damage prediction function using logistic regression model (로지스틱 회귀모형을 이용한 호우피해 예측함수 개발)

  • Choi, Chang Hyun;Kim, Jong Sung;Kim, Dong Hyun;Lee, Jong So;Kim, Hung Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.41-41
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    • 2017
  • 자연재난으로 인한 피해의 대형화, 다양화, 집중화 현상이 일어나고 있으며, 이로 인한 사회 경제적 피해가 과거에 비해 계속적으로 증가하고 있다. 만약 기존에 발생하였던 재난 피해 자료와 기상현상간의 통계적 분석을 통해 재난의 발생 가능성과 피해 범위를 예측할 수 있다면, 효율적으로 재난관리를 할 수 있을 것이다. 따라서 본 연구에서는 대표적인 자연재난 피해인 호우피해를 대상으로 낙동강 권역 69개 시군구별 재해통계 자료를 기반으로 수문기상자료와의 통계적 분석을 통해 호우피해 예측함수를 개발하였다. 국민안전처에서 발간하는 재해연보 자료를 통해 호우피해 발생기간별 호우피해액 자료를 분석하였고, 이를 호우피해 예측함수의 종속변수로 사용하였다. 종관기상관측소의 시강우 자료를 분석하여 선행강우, 지속시간별 최대강우, 총강우량을 구축하였고, 시군구별 면적 등의 지역 특성을 수집하여 설명변수로 사용하였다. 기존의 피해예측함수 관련 연구에서 제기되었던 피해액이 큰 부분에서 예측력이 떨어지는 문제를 해결하기 위해, 피해액이 큰 집단과 피해액이 작은 집단을 구분하여 함수식을 개발할 수 있는 로지스틱 회귀모형을 사용하여 호우피해 예측함수를 개발하였다. 개발된 호우피해 예측함수의 NRMSE는 6.34~18.79%로 나타났으며, 대부분 호우피해를 적절하게 예측하는 것으로 나타났다. 본 연구에서는 호우피해액이 큰 집단과 피해액이 작은 집단으로 구분할 수 있는 로지스틱 회귀모형을 이용하여 낙동강 권역의 시군구별 호우피해 예측함수를 개발하였다. 본 연구에서 제시한 시군구별 호우피해 예측함수를 이용하여 사전에 호우피해를 예측할 수 있다면 호우피해액이 크게 줄어들 것으로 사료된다.

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Assessing the accuracy of the maximum likelihood estimator in logistic regression models (로지스틱 회귀모형에서 최우추정량의 정확도 산정)

  • 이기원;손건태;정윤식
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.393-399
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    • 1993
  • When we compute the maximum likelihood estimators of the parameters for the logistic regression models, which are useful in studying the relationship between the binary response variable and the explanatory variable, the standard error calculations are usually based on the second derivative of log-likelihood function. On the other hand, an estimator of the Fisher information motivated from the fact that the expectation of the cross-product of the first derivative of the log-likelihood function gives the Fisher information is expected to have similar asymptotic properties. These estimators of Fisher information are closely related with the iterative algorithm to get the maximum likelihood estimator. The average numbers of iterations to achieve the maximum likelihood estimator are compared to find out which method is more efficient, and the estimators of the variance from each method are compared as estimators of the asymptotic variance.

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The design of digital circuit for chaotic composition map (혼돈합성맵의 디지털회로설계)

  • Park, Kwang-Hyeon;Seo, Yong-Won
    • Journal of Advanced Navigation Technology
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    • v.17 no.6
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    • pp.652-657
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    • 2013
  • In this paper the design methode of a separated composition state machine based on the compositive map with two chaotic maps together and the result of that is proposed. The digital circuits of chaotic composition map for the use of chaotic binary stream generator are designed in this work. The discretized truth table of chaotic composition function which is composed of two chaotic functions - the saw tooth function and skewed logistic function - is made out, and also simplefied Boolean algebras of digital circuits are obtained as a mathematical model. Consequently, the digital circuits of the map for chaotic composition function are presented in this paper.

Development of Ingrowth Estimation Equations for Pinus densiflora in Korea Derived from National Forest Inventory Data (국가산림자원조사 자료를 이용한 소나무의 진계생장 추정식 개발)

  • Moon, Ga Hyun;Yim, Jong Su;Shin, Man Yong
    • Journal of Korean Society of Forest Science
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    • v.107 no.4
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    • pp.402-411
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    • 2018
  • This study was conducted to develop ingrowth estimation equations on Pinus densiflora found in Gangwon Province and in the center of Korean Peninsula, based on the National Forest Inventory (NFI)'s permanent sampling plot data. For this study, identical sampling plots in $5^{th}$ and $6^{th}$ NFI data were collected in order to identify ingrowth amounts for the last 5 years. Following two-stage approaches in developing the ingrowth estimation equations, the logistic regression model was used in the first stage to estimate the ingrowth probability. In the second stage, regression analysis on sampling plots with ingrowth occurrence was used to estimate the ingrowth amount. A candidate model was finally selected as an optimal model after a verification based on three evaluation statistics which include mean difference (MD), standard deviation of difference (SDD) and standard error of difference (SED). In results, a logistic regression model based on the number of sampling plot which did not result in ingrowth (model VI), was selected for an ingrowth probability estimation equation and exponential function including the species composition (SC) variable was optimal for an ingrowth estimation equation (model VII). The ingrowth estimation equations developed in this study also evaluated the estimation ability in various forest stand conditions, and no particular issue in fitness or applicability was observed.

Reliability Analysis of cooler in Thermal Observation Device (열상감시장비의 냉각기 신뢰도 분석)

  • Hong, Seok-Jin;Jung, Yun-Sik;Kim, Jin-Hwan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.11
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    • pp.432-436
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    • 2016
  • The cooler, which is the main part in a Thermal Observation Device (TOD), makes the TOD function by reducing the temperature. As the cooler is imported, overseas enterprises presented 20,000 hours as the operation time and the military have used the cooler as presented. However, failures have occurred occasionally after mass production stage. Therefore, we need to analyze the MTBF of the TOD cooler. So, military and defense industry companies collected the failure data of the TOD cooler. We analyze the MTBF of the TOD cooler using survival probability function and failure data. We find the optimal distribution by applying parametric method and estimate parameters. We determine that the Log-logistic distribution is the most appropriate for this data. Also, we analyze the reliability per hour of the TOD cooler. The result of MTBF of the TOD cooler was higher than that of presented by oversee enterprises.

Optimal Thresholds from Non-Normal Mixture (비정규 혼합분포에서의 최적분류점)

  • Hong, Chong-Sun;Joo, Jae-Seon
    • The Korean Journal of Applied Statistics
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    • v.23 no.5
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    • pp.943-953
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    • 2010
  • From a mixture distribution of the score random variable for credit evaluation, there are many methods of estimating optimal thresholds. Most the research news is based on the assumption of normal distributions. In this paper, we extend non-normal distributions such as Weibull, Logistic and Gamma distributions to estimate an optimal threshold by using a hypotheses test method and other methods maximizing the total accuracy and the true rate. The type I and II errors are obtained and compared with their sums. Finally we discuss their e ciency and derive conclusions for non-normal distributions.

Ecological Buffer Analysis of Western DMZ and Vicinity using Logistic Function Derived from TVI-Distance Curve (TVI-거리함수를 이용한 서부 DMZ 및 민통지역의 생태적 보전폭원 조사)

  • Kim, Sang-Wook
    • Journal of the Korean Association of Geographic Information Studies
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    • v.9 no.4
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    • pp.95-104
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    • 2006
  • The DMZ is a 248km long thin green line which has various landscapes of fields, hills and mountains. This study focused on western part of DMZ and vicinity which consist of abandoned rice paddy, wetlands and fields. The main purpose of this study is to detect the vegetation vitality from the western part of MDL to DMZ vicinity and identify and quantify ecological buffer(ecotone) width adopting logistic function derived from 'Vegetation Index-distance curve' using an Landsat ETM+ image acquired on June of 2002. Green leaf vegetation was quantified to identify the ecotone buffer in western DMZ and vicinity(civilian control area: CCA) using Transformed Vegetation Index(TVI) which is one of common measurement among various indices. Vegetation measurement from Military Demarcation Line(MDL) to vicinity area was investigated at 500m intervals to 10kms of southern and northern part of western DMZ and vicinity. The Logistic function models the sigmoid curve of growth with three stages of growth of initial competition and maturity. In the TVI-distance logistic curve, the maturity is high vegetation vitality, the competition is vitality changing, and the initial is low vitality. In the TVI-distance curve, maturity area of high TVI value is core area for ecological conservation, and the competition area between inflection points can be an ecotone(ecological buffer). In case of southern part, maximum TVI value is 221.92 and minimum is 207.16, and maximum TVI of northen part is 215.32 and minimum is 188.35. That means forest devastation of north Korean part of DMZ and vicinity is severer than that of south Korea. The width of core area for ecological conservation is 2,311m, and ecotone in the southern part is 5,339m, so minimum width from MDL for ecological conservation can be computed as 7,651m. In case of Northern part, the width of core area is 1,841m, and ecotone buffer is 5,014m, so ecological conservation width can be estimated as 6,855m. In case of northen part, width of estimated core area is less than that of DMZ width, which means ecological disturbance is very severe in northern part of western DMZ.

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A Study on the Growth Models of Sedum takevimense as Affected by Difference of Soil Mixture Ratio in the Green Roof System (토양조성에 따른 옥상녹화용 섬기린초 생장모형 연구)

  • Kang, Tai-Ho;Li, Hong;Zhao, Hong-Xia
    • Journal of the Korean Institute of Landscape Architecture
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    • v.39 no.6
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    • pp.110-117
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    • 2011
  • In order to study the growth models between the growth of Sedum takevimense and growth rate in soil with three types of mix ratios, this experiment was carried out on April 3rd, 2011. A nonlinearity regression analysis was performed using the Logistic and Gompertz models by SPSS. According to the study of growth models of Sedum takevimense, the process of growth and management methods after over-wintering were explicitly determined. According to the measured values, the growth in the soil of $P_1P_2V_1$ and $P_2P_1V_1$ was better than that of $P_1$. Particularly, the average length of Sedum takevimense in the soil of $P_1P_2V_1$ was about twice as great as that in the $P_1$. The fitness test of the two growth models was: The predicted value and measured value were separately compared and analysed, the average fitting precision $R^2$ of the Logistic models was 0.995, but the average $R^2$ of the Gompertz models was below 0.978, which showed that the Logistic models were better than the Gompertz models. The growth models also showed that the growth time of Sedum takevimense was divided into three: rapid, most rapid and slow. When managed in the rapid and the most rapid time, it will grow better.

Estimating design floods for ungauged basins in the geum-river basin through regional flood frequency analysis using L-moments method (L-모멘트법을 이용한 지역홍수빈도분석을 통한 금강유역 미계측 유역의 설계홍수량 산정)

  • Lee, Jin-Young;Park, Dong-Hyeok;Shin, Ji-Yae;Kim, Tae-Woong
    • Journal of Korea Water Resources Association
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    • v.49 no.8
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    • pp.645-656
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    • 2016
  • The study performed a regional flood frequency analysis and proposed a regression equation to estimate design floods corresponding to return periods for ungauged basins in Geum-river basin. Five preliminary tests were employed to investigate hydrological independence and homogeneity of streamflow data, i.e. the lag-one autocorrelation test, time homogeneity test, Grubbs-Beck outlier test, discordancy measure test ($D_i$), and regional homogeneity measure (H). The test results showed that streamflow data were time-independent, discordant and homogeneous within the basin. Using five probability distributions (generalized extreme value (GEV), three-parameter log-normal (LN-III), Pearson type 3 (P-III), generalized logistic (GLO), generalized Pareto (GPA)), comparative regional flood frequency analyses were carried out for the region. Based on the L-moment ratio diagram, average weighted distance (AWD) and goodness-of-fit statistics ($Z^{DIST}$), the GLO distribution was selected as the best fit model for Geum-river basin. Using the GLO, a regression equation was developed for estimating regional design floods, and validated by comparing the estimated and observed streamflows at the Ganggyeong station.