• Title/Summary/Keyword: Ordinary Least Squares

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직교화와 SVD를 도입한 광학설계의 최적화기법에 대한 연구

  • 김기태
    • Korean Journal of Optics and Photonics
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    • v.4 no.4
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    • pp.363-372
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    • 1993
  • An optimization technique with variable orthogonalization and SVD(singular value decomposition) is examined in a double-Gauss type photographic lens design and its convergence and stability are compared with ordinary least squares and DLS(damped least squares) method. It is known that there are close relationship between the stability of optimization and condition number of nomal equation, the ratio between maximum and minimum of eigenvalues. In this study, the stability is greatly improved by limiting the condition number, the SVD, as expeded. The case of DLS with small damping, orthogonalization and SVD shows the most rapid convergence and stability. It means that the unstability of DLS method with small damping is overcome by using the variable orthogonalization and SVD.

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Model of Simultaneous Travel time and Activity Duration for worker with Transportation Panel Data

  • Kim Soon-Gwan
    • Proceedings of the KOR-KST Conference
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    • 1998.09a
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    • pp.160-167
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    • 1998
  • Recent world-wide interest in activity-based travel behavior modeling has generated an entirely new perspective on how the profession views the travel demand process. This paper seeks to further promote the case of activity-based travel behavior models by providing some empirical evidence of relationship between travel time and activity duration decision for worker with transportation panel data. The travel time from home to work and from work to home, without activity involvement, is estimated by the Ordinary Least Squares (OLS) method. And, the travel time to and from the selected activity and the activity duration are modeled simultaneously by the Three Stage Least Squares (3SLS) method due to the endogenous relationship between travel time and activity duration. Two kinds of models, OLS and 3SLS, include selectivity bias corrections in a discrete/continuous framework, because of the inter-relationship between the choice of activity type/travel mode (discrete) and the travel time/activity duration (continuous). Estimation is undertaken using a sample of over 1300 household two-day trip diaries collected from the same travelers in the Seattle area in 1989. The behavioral consequences of these models provide interesting and provocative findings that should be of value to transportation policy formulation and analysis.

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Exploring Spatial Patterns of Theft Crimes Using Geographically Weighted Regression

  • Yoo, Youngwoo;Baek, Taekyung;Kim, Jinsoo;Park, Soyoung
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.35 no.1
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    • pp.31-39
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    • 2017
  • The goal of this study was to efficiently analyze the relationships of the number of thefts with related factors, considering the spatial patterns of theft crimes. Theft crime data for a 5-year period (2009-2013) were collected from Haeundae Police Station. A logarithmic transformation was performed to ensure an effective statistical analysis and the number of theft crimes was used as the dependent variable. Related factors were selected through a literature review and divided into social, environmental, and defensive factors. Seven factors, were selected as independent variables: the numbers of foreigners, aged persons, single households, companies, entertainment venues, community security centers, and CCTV (Closed-Circuit Television) systems. OLS (Ordinary Least Squares) and GWR (Geographically Weighted Regression) were used to analyze the relationship between the dependent variable and independent variables. In the GWR results, each independent variable had regression coefficients that differed by location over the study area. The GWR model calculated local values for, and could explain the relationships between, variables more efficiently than the OLS model. Additionally, the adjusted R square value of the GWR model was 10% higher than that of the OLS model, and the GWR model produced a AICc (Corrected Akaike Information Criterion) value that was lower by 230, as well as lower Moran's I values. From these results, it was concluded that the GWR model was more robust in explaining the relationship between the number of thefts and the factors related to theft crime.

A Study on the User Satisfaction of Demand Response Transport(DRT) by Quantile Regression Analysis (분위회귀분석에 의한 수요응답형교통 이용자 만족도 분석)

  • Jang, Tae Youn;Han, Woo Jin;Kim, Jeong Ho
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.15 no.3
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    • pp.118-128
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    • 2016
  • As the rural areas have experienced the population reduction and the aging, the service level of public transit decreases. This study analyzes the effecting factor to user satisfaction of demand response transport(DRT) as alternative to rural public transit by the quantile regression that aims at estimating either the conditional median or other quantiles of the response variable. Jeonbuk Province tested DRT operations in Dongsang of Wanju County and Sannae of Jeongup City each in 2015. The user DRT satisfaction of Wanju was higher than one of Jeongup in basic statistics analysis. The difference in satisfaction between higher quantile and lower quntile of Wanju is smaller than one of Jeongupy as a result of quantile regression analysis. Also, Wanju DRT continues the second test operation of DRT as satisfaction from Ordinary Least Squares(OLS) close to higher satisfaction quantile.

Analyzing Impacts of Regional Characteristics to Industrial Complex Employment in South Korea (우리나라 산업단지 고용에 미치는 지역적 특성 분석)

  • Kim, Geunyoung
    • Journal of the Society of Disaster Information
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    • v.14 no.4
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    • pp.510-518
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    • 2018
  • Purpose: The objective of this research is to analyze the effects of industrial complex sites to manufacturing business of South Korea. Method: This research first investigates previous relative studies for employment factors of industrial complex sites. Second, this research identifies employment decision factors of industrial complex sites by applying the two-stage ordinary least squares method to the Korea Industrial Complex Directory and the census data on establishments published by the Statistics Korea. Third, this research provides findings and policy recommendations based on study results. Results: The number of major companies, production quantity, and diversity of manufacturing have positive impacts to employment of industrial complex. The ratio of foreign workers, the number of universities and colleges, and the fiscal self-reliance ratio are also important to employment of industrial complex. Conclusion: The employment enhancement policy of industrial complex should consider regional characteristics as well as infrastructure of industrial complex.

Dynamic Elasticities Between Financial Performance and Determinants of Mining and Extractive Companies in Jordan

  • Yusop, Nora Yusma;Alhyari, Jad Alkareem;Bekhet, Hussain Ali
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.7
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    • pp.433-446
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    • 2021
  • This study aims to identify the elasticities and casualties of financial performance and determinants of the mining and extractive companies listed in Jordan's stock market over the 2005-2018 period. The conceptual framework is based on the Resource-Based View theory and Arbitrage Pricing theory is used to describe the relationship between the external environment and the financial performance of the companies. Profitability ratio (return on assets) is utilized as a proxy of financial performance measurement. Meantime, the company's characteristics, macroeconomic variables, and non-economic factors are utilized as independent factors. Data sources are panel data set for mining and extractive companies over the above period. Fully Modified Ordinary Least Square (FMOLS), Dynamic Ordinary Least Squares (DOLS), and Pooled Mean Group (PMG) methods are applied. The empirical findings indicated that company size, sales growth, financial leverage, liquidity, and GDP growth were the critical determinants of mining and extractive companies' financial performance in the Amman Stock Exchange. Thus, the findings conclude that company characteristics and GDP growth mainly drive financial performance. Moreover, the findings reveal that a bidirectional causal elasticity exists between GDP and financial leverage and return on assets (ROA). Sound financial performance can be obtained by paying more attention to GDP growth and firms' characteristics.

Domestic Government Debt and Economic Growth in Indonesia: An empirical analysis

  • Bukit, Alexander Romarino;Anggraeni, Lukytawati
    • The Journal of Economics, Marketing and Management
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    • v.5 no.1
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    • pp.27-37
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    • 2017
  • Domestic government debt securities is one of the steps which is taken by the government of Indonesia as a major source of financial budget, covering for the budget deficit, debt payments and interest debt. The purposes of this research are to know the development of budget deficits, government debt and impact of domestic government debt securities against economic growth in Indonesia. Method of analysis used Ordinary Least Squares (OLS) analyzing the impact of the domestic debt against economic growth in Indonesia. This research uses time series data from 1997 to 2014. Total government debt and domestic government debt securities in Indonesia increased during the last five years. The average of domestic government securities was above 50 percent of the total government debt. Estimated results showed domestic government debt securities has a positive and significant effect to economic growth. Official development assistance (ODA) has a negative effect to economic growth. Other variables such as the gross fixed capital formation and receipt of remittance have positive and significant effect, total imports and government expenditure have negative and significant effect against economic growth.

Tutorial: Methodologies for sufficient dimension reduction in regression

  • Yoo, Jae Keun
    • Communications for Statistical Applications and Methods
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    • v.23 no.2
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    • pp.105-117
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    • 2016
  • In the paper, as a sequence of the first tutorial, we discuss sufficient dimension reduction methodologies used to estimate central subspace (sliced inverse regression, sliced average variance estimation), central mean subspace (ordinary least square, principal Hessian direction, iterative Hessian transformation), and central $k^{th}$-moment subspace (covariance method). Large-sample tests to determine the structural dimensions of the three target subspaces are well derived in most of the methodologies; however, a permutation test (which does not require large-sample distributions) is introduced. The test can be applied to the methodologies discussed in the paper. Theoretical relationships among the sufficient dimension reduction methodologies are also investigated and real data analysis is presented for illustration purposes. A seeded dimension reduction approach is then introduced for the methodologies to apply to large p small n regressions.

Peer Firm Effect on Cooperate Investment Decisions (경쟁 기업이 기업의 투자결정에 미치는 영향 연구)

  • Yang, Insun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.12
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    • pp.611-620
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    • 2016
  • Firms grow in a competitive environment and competition can be a source of corporate growth. In an increasingly global market, companies face increased competition. As such, it is natural that all firms face some degree of risk due to competition. While firms compete for market share, they also imitate competitors in order to minimize risk that accompanies competition. This research attempts to demonstrate the effects of inter-firm competition on investment decisions. Using idiosyncratic equity returns as the instrument variable, this paper uses a two-stage least squares regression, as well as an ordinary least squares (OLS), to identify the influence of peer firms' investment decisions on a firm's own investment strategy. The results confirm that firms show stronger imitative behavior with more intense competition. Also, firms with higher debt ratios show higher peer group influence. This imitative factor provides clues to measure the risk-averseness in investment decisions.

Time series analysis for Korean COVID-19 confirmed cases: HAR-TP-T model approach (한국 COVID-19 확진자 수에 대한 시계열 분석: HAR-TP-T 모형 접근법)

  • Yu, SeongMin;Hwang, Eunju
    • The Korean Journal of Applied Statistics
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    • v.34 no.2
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    • pp.239-254
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    • 2021
  • This paper studies time series analysis with estimation and forecasting for Korean COVID-19 confirmed cases, based on the approach of a heterogeneous autoregressive (HAR) model with two-piece t (TP-T) distributed errors. We consider HAR-TP-T time series models and suggest a step-by-step method to estimate HAR coefficients as well as TP-T distribution parameters. In our proposed step-by-step estimation, the ordinary least squares method is utilized to estimate the HAR coefficients while the maximum likelihood estimation (MLE) method is adopted to estimate the TP-T error parameters. A simulation study on the step-by-step method is conducted and it shows a good performance. For the empirical analysis on the Korean COVID-19 confirmed cases, estimates in the HAR-TP-T models of order p = 2, 3, 4 are computed along with a couple of selected lags, which include the optimal lags chosen by minimizing the mean squares errors of the models. The estimation results by our proposed method and the solely MLE are compared with some criteria rules. Our proposed step-by-step method outperforms the MLE in two aspects: mean squares error of the HAR model and mean squares difference between the TP-T residuals and their densities. Moreover, forecasting for the Korean COVID-19 confirmed cases is discussed with the optimally selected HAR-TP-T model. Mean absolute percentage error of one-step ahead out-of-sample forecasts is evaluated as 0.0953% in the proposed model. We conclude that our proposed HAR-TP-T time series model with optimally selected lags and its step-by-step estimation provide an accurate forecasting performance for the Korean COVID-19 confirmed cases.