On indirect least squares estimation of a simultaneous equation system

1974 ◽  
Vol 2 (1-2) ◽  
pp. 75-82 ◽  
Author(s):  
Soo-Bin Park
Keyword(s):  
Least Squares ◽  
Equation System ◽  
Simultaneous Equation ◽  
Least Squares Estimation ◽  
Simultaneous Equation System

scholarly journals Institutional ownership and firm value: A study on BIST manufacturing index

Ekonomika ◽  
2020 ◽  
Vol 66 (4) ◽  
pp. 29-46
Author(s):  
Mesut Doğan
Keyword(s):  
Least Squares ◽  
Firm Value ◽  
Institutional Ownership ◽  
Equation System ◽  
Ordinary Least Squares ◽  
Simultaneous Equation ◽  
Positive Relation ◽  
Two Stage ◽  
Hausman Test ◽  
Simultaneous Equation System

The aim of this research is to test the relation between institutional ownership and firm value. To accomplish this aim, data from 104 firms listed in the BIST (i.e. Borsa Istanbul) industrial index between 2006 and 2018 have been used. Studies on the structure of ownership have problems with endogeneity. In order to avoid these problems, this study adopted Durbin-Wu-Hausman test with advanced econometric techniques, Ordinary Least Squares (i.e. OLS), and Two-Stage Least Squares (i.e. 2SLS). As a result of the simultaneous equation system improved in this study, a positive relation between institutional ownership as an endogenous variable, and firm value has been located. Besides, it has been found that institutional investors are more interested in the firms that have a higher market performance.

scholarly journals Prediction of Individual Tree Diameter and Height to Crown Base Using Nonlinear Simultaneous Regression and Airborne LiDAR Data

2020 ◽  
Vol 12 (14) ◽  
pp. 2238
Author(s):  
Zhaohui Yang ◽  
Qingwang Liu ◽  
Peng Luo ◽  
Qiaolin Ye ◽  
Guangshuang Duan ◽  
...  
Keyword(s):  
Least Squares ◽  
Nonlinear Least Squares ◽  
Equation System ◽  
Simultaneous Equation ◽  
Forest Growth ◽  
Airborne Lidar ◽  
Least Square ◽  
Projection Area ◽  
Individual Tree ◽  
Simultaneous Equation System

The forest growth and yield models, which are used as important decision-support tools in forest management, are commonly based on the individual tree characteristics, such as diameter at breast height (DBH), crown ratio, and height to crown base (HCB). Taking direct measurements for DBH and HCB through the ground-based methods is cumbersome and costly. The indirect method of getting such information is possible from remote sensing databases, which can be used to build DBH and HCB prediction models. The DBH and HCB of the same trees are significantly correlated, and so their inherent correlations need to be appropriately accounted for in the DBH and HCB models. However, all the existing DBH and HCB models, including models based on light detection and ranging (LiDAR) have ignored such correlations and thus failed to account for the compatibility of DBH and HCB estimates, in addition to disregarding measurement errors. To address these problems, we developed a compatible simultaneous equation system of DBH and HCB error-in-variable (EIV) models using LiDAR-derived data and ground-measurements for 510 Picea crassifolia Kom trees in northwest China. Four versatile algorithms, such as nonlinear seemingly unrelated regression (NSUR), two-stage least square (2SLS) regression, three-stage least square (3SLS) regression, and full information maximum likelihood (FIML) were evaluated for their estimating efficiencies and precisions for a simultaneous equation system of DBH and HCB EIV models. In addition, two other model structures, namely, nonlinear least squares with HCB estimation not based on the DBH (NLS and NBD) and nonlinear least squares with HCB estimation based on the DBH (NLS and BD) were also developed, and their fitting precisions with a simultaneous equation system compared. The leave-one-out cross-validation method was applied to evaluate all estimating algorithms and their resulting models. We found that only the simultaneous equation system could illustrate the effect of errors associated with the regressors on the response variables (DBH and HCB) and guaranteed the compatibility between the DBH and HCB models at an individual level. In addition, such an established system also effectively accounted for the inherent correlations between DBH with HCB. However, both the NLS and BD model and the NLS and NBD model did not show these properties. The precision of a simultaneous equation system developed using NSUR appeared the best among all the evaluated algorithms. Our equation system does not require the stand-level information as input, but it does require the information of tree height, crown width, and crown projection area, all of which can be readily derived from LiDAR imagery using the delineation algorithms and ground-based DBH measurements. Our results indicate that NSUR is a more reliable and quicker algorithm for developing DBH and HCB models using large scale LiDAR-based datasets. The novelty of this study is that the compatibility problem of the DBH model and the HCB EIV model was properly addressed, and the potential algorithms were compared to choose the most suitable one (NSUR). The presented method and algorithm will be useful for establishing similar compatible equation systems of tree DBH and HCB EIV models for other tree species.

scholarly journals INST Institutional Ownership and Firm Value: A Study on the Bist Manufacturing Index

Ekonomika ◽  
2020 ◽  
Vol 99 (2) ◽  
pp. 59-75
Author(s):  
Mesut Doğan
Keyword(s):  
Least Squares ◽  
Firm Value ◽  
Institutional Ownership ◽  
Equation System ◽  
Ordinary Least Squares ◽  
Simultaneous Equation ◽  
Positive Relation ◽  
Two Stage ◽  
Hausman Test ◽  
Simultaneous Equation System

The aim of this research is to test the relation between institutional ownership and firm value. To accomplish this aim, data from 104 firms listed in the BIST (i.e. Borsa Istanbul) industrial index between 2006 and 2018 have been used. Studies on the structure of ownership have problems with endogeneity. In order to avoid these problems, this study adopted Durbin-Wu-Hausman test with advanced econometric techniques, Ordinary Least Squares (i.e. OLS), and Two-Stage Least Squares (i.e. 2SLS). As a result of the simultaneous equation system improved in this study, a positive relation between institutional ownership as an endogenous variable, and firm value has been located. Besides, it has been found that institutional investors are more interested in the firms that have a higher market performance.

The Links between the Companies Market Price Quality and that of its Management and Business Quality: A System Panel Data Approach

GIS Business ◽  
2016 ◽  
Vol 11 (6) ◽  
pp. 28-38
Author(s):  
Dinis Daniel Santos ◽  
Elias Soukiazis
Keyword(s):  
Panel Data ◽  
Business Performance ◽  
Market Price ◽  
Equation System ◽  
Simultaneous Equation ◽  
System Equation ◽  
Simultaneous Equation System ◽  
Management Quality ◽  
The Relationship

This work uses a simultaneous equation system approach to analyze the relationship between the management and business quality of companies and their market price quality. Using panel data we found that both the management and the business quality of companies positively influence the market price quality of the studied American companies. Additionally, variables like the actual position of the company price quality compared to the industry average, being on the top or the bottom, or the beta value of a company, also influence the market price quality of the respective company. It is shown that the system equation approach is the most appropriate to explain the linkages between price, business, and management quality providing consistent estimates. Also, using ratings to express the three core variables in the system is the most adequate way to define the quality characteristics in terms of price, management, and business performance of the companies considered in this study.

scholarly journals Where does Pro-Poor Growth Occur in Vietnam?

2015 ◽  
Vol 22 (1) ◽  
pp. 20-41
Author(s):  
Bao Nguyen Hoang
Keyword(s):  
Economic Growth ◽  
Gini Coefficient ◽  
Poverty Alleviation ◽  
Poverty Reduction ◽  
Equation System ◽  
Simultaneous Equation ◽  
Poverty Index ◽  
Poor Growth ◽  
Simultaneous Equation System ◽  
The Impact

Although Vietnam’s economic growth and poverty reduction for almost three decades have been remarkable, growth for poverty reduction is unequally distributed across the nation. The paper examines the cause of poverty and the impact of provincial economic growth on poverty alleviation, using the data of 63 provinces in Vietnam. The elasticity of poverty with respect to provincial economic growth is employed (the elasticities of headcount index, poverty gap index, and squared poverty index with respect to provincial economic growth) to identify the provinces where pro-poor growth has occurred. The elasticity of poverty with respect to provincial Gini coefficient is examined to identify the impact of expenditure inequality on poverty. The simultaneous equation system is estimated to analyze not only direct and indirect effects of the related variables, but also the causality effect between economic growth and the poverty elasticity with respect to both growth and the Gini coefficient.

Comparing Single-Equation Estimators in a Simultaneous Equation System

1986 ◽  
Vol 2 (1) ◽  
pp. 1-32 ◽  
Author(s):  
T. W. Anderson ◽  
Naoto Kunitomo ◽  
Kimio Morimune
Keyword(s):  
Maximum Likelihood ◽  
Least Squares ◽  
Maximum Likelihood Estimator ◽  
Equation System ◽  
Single Equation ◽  
Ordinary Least Squares ◽  
Limited Information ◽  
Likelihood Estimator ◽  
Mean Squared Errors ◽  
Simultaneous Equation System

Comparisons of estimators are made on the basis of their mean squared errors and their concentrations of probability computed by means of asymptotic expansions of their distributions when the disturbance variance tends to zero and alternatively when the sample size increases indefinitely. The estimators include k-class estimators (limited information maximum likelihood, two-stage least squares, and ordinary least squares) and linear combinations of them as well as modifications of the limited information maximum likelihood estimator and several Bayes' estimators. Many inequalities between the asymptotic mean squared errors and concentrations of probability are given. Among medianunbiasedestimators, the limited information maximum likelihood estimator dominates the median-unbiased fixed k-class estimator.

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