Kuan-Pin Lin’s research while affiliated with Portland State University and other places

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Publications (22)


Hierarchically spatial autoregressive and moving average error model
  • Article

October 2018

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13 Reads

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1 Citation

Economic Modelling

Qianting Ye

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Huajie Liang

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Kuan-Pin Lin

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Zhihe Long

This paper considers a hierarchically spatial autoregressive and moving average error (HSEARMA) model. This model captures the spatially autoregressive and moving average error correlation, the county-level random effects, and the district-level random effects nested within each county. We propose optimal generalized method of moments (GMM) estimators for the spatial error correlation coefficient and the error components' variances terms, as well as a feasible generalized least squares (FGLS) estimator for the regression parameter vector. Further, we prove consistency of the GMM estimator and establish the asymptotic distribution of the FGLS estimator. A finite-scale Monte Carlo simulation is conducted to demonstrate the good finite sample performances of our GMM-FGLS estimators.


Figure 1. Average Consumption of Cigarettes (in packs) per Capita per Year by States, 1963-1992.
Table 4 .
Table 6 . FoR of LM Tests for the Spatial Error Correlation, Sample Size: (100, 10).
Table 8 . Cont.
Testing in a Random Effects Panel Data Model with Spatially Correlated Error Components and Spatially Lagged Dependent Variables
  • Article
  • Full-text available

November 2015

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74 Reads

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3 Citations

Econometrics

We propose a random effects panel data model with both spatially correlated error components and spatially lagged dependent variables. We focus on diagnostic testing procedures and derive Lagrange multiplier (LM) test statistics for a variety of hypotheses within this model. We first construct the joint LM test for both the individual random effects and the two spatial effects (spatial error correlation and spatial lag dependence). We then provide LM tests for the individual random effects and for the two spatial effects separately. In addition, in order to guard against local model misspecification, we derive locally adjusted (robust) LM tests based on the Bera and Yoon principle (Bera and Yoon, 1993). We conduct a small Monte Carlo simulation to show the good finite sample performances of these LM test statistics and revisit the cigarette demand example in Baltagi and Levin (1992) to illustrate our testing procedures.

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Testing spatial effects and random effects in a nested panel data model

August 2015

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22 Reads

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7 Citations

Economics Letters

We propose a multilevel spatial econometric model including spatially correlated error, spatially lagged dependent variable, county-level random effects and nested district-level random effects within a county. We construct joint Lagrange multiplier (LM) test to detect both the spatial effects and the random effects, LM tests to detect the spatial error correlation and/or the spatial lag dependence allowing for both types of random effects, and LM tests to detect the county-level random effects and/or the nested district-level random effects allowing for both types of spatial effects. A Monte Carlo simulation is conducted to show their good finite sample performances.


Table 1. Mongolian equity market and other markets 
Figure 2. Continued  
Table 2. Descriptive statistics of daily index returns 
Table 3. Sample correlations of daily index returns 
Mongolian and World Equity Markets: Volatilities and Correlations

December 2013

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76 Reads

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6 Citations

Eurasian Economic Review

After more than 10 years since the establishment of the Shanghai Cooperation Organization (SCO), this paper studies how variances and correlations have evolved in four SCO countries' equity markets (China, Kazakhstan, Mongolia, and Russia) relative to Japanese, US and EU markets. We focus on the Mongolian equity market. We trace stock market co-movements of Mongolia and SCO member countries to the world market since the inauguration of the SCO in 2001. We also take into account the effects of recent world financial crisis in the region. As compared to the increasing global trend of market integration among countries, we don't find any significant contagion among SCO countries in the first half of sample periods. After 2005, market integrations among SCO countries are evident.


Table 2 . Descriptive statistics of daily index returns
Table 3 . Sample correlations of daily index returns
"Mongolian and World Equity Markets: Volatilities and Correlations," (with Yertai Tanai), Eurasian Economic Review 3:2, Fall 2013, 139-167.

December 2013

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91 Reads

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1 Citation

After more than 10 years since the establishment of the Shanghai Cooperation Organization (SCO), this paper studies how variances and correlations have evolved in four SCO countries' equity markets (China, Kazakhstan, Mongolia, and Russia) relative to Japanese, US and EU markets. We focus on the Mongolian equity market. We trace stock market co-movements of Mongolia and SCO member countries to the world market since the inauguration of the SCO in 2001. We also take into account the effects of recent world financial crisis in the region. As compared to the increasing global trend of market integration among countries, we don't find any significant contagion among SCO countries in the first half of sample periods. After 2005, market integrations among SCO countries are evident.


Locally adjusted LM test for spatial dependence in fixed effects panel data models

October 2013

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65 Reads

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5 Citations

Economics Letters

Lee and Yu (2010) propose spatial panel data models with one-way and two-way fixed effects. Debarsy and Ertur (2010) construct LM (Lagrange multiplier) and LR (likelihood ratio) tests in the one-way fixed effects model. He and Lin (2012) derive LM tests in the two-way fixed effects model. To guard against possible local misspecification, in this paper we apply Bera and Yoon (1993) principle, and construct locally adjusted (robust) LM tests for spatial dependence in both one-way and two-way fixed effects models. Monte Carlo experiment is carried out to show the advantage of using robust LM tests over the corresponding marginal and conditional versions.


The Size and Power of Bootstrap Tests for Spatial Dependence in a Linear Regression Model

August 2011

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67 Reads

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27 Citations

Computational Economics

In this paper, we define the spatial bootstrap test as a residual-based bootstrap method for hypothesis testing of spatial dependence in a linear regression model. Based on Moran’s I statistic, the empirical size and power of bootstrap and asymptotic tests for spatial dependence are evaluated and compared. Under classical normality assumption of the model, the performance of the spatial bootstrap test is equivalent to that of the asymptotic test in terms of size and power. For more realistic heterogeneous non-normal distributional models, the applicability of asymptotic normal tests is questionable. Instead, spatial bootstrap tests have shown superiority in smaller size distortion and higher power when compared to asymptotic counterparts, especially for cases with a small sample and dense spatial contiguity. Our Monte Carlo experiments indicate that the spatial bootstrap test is an effective alternative to the theoretical asymptotic approach when the classical distributional assumption is violated. KeywordsSpatial bootstrap test–Moran’s I–Monte Carlo–Size distortion–Power


Chinese and world equity markets: A review of the volatilities and correlations in the first fifteen years

October 2008

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31 Reads

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46 Citations

China Economic Review

After more than 15 years of Chinese equity markets, we study how variance, covariance, and correlations have developed in these markets relative to world markets, based on the dynamic conditional correlation (DCC) model of Engle [Engle, R., 2002. A dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business & Economic Statistics 20(3), 339–350.]. Chinese markets offer A-shares to domestic investors and otherwise identical B-shares to foreign investors. We find that the volatility of A-shares has declined over the past decade. We find no asymmetric volatility relative to world markets in China. Contrary to the global trend of increasing cross-country correlations, we find stationary correlations for China. A-share indices have never been correlated with world markets, and B-share indices exhibit a low degree of correlation with Western markets (0–5%) and a slightly higher degree of correlation with other Asian markets (10–20%). We interpret these findings using Gordon's growth model.


Bootstrap Test Statistics for Spatial Econometric Models

May 2007

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107 Reads

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3 Citations

We introduce and apply bootstrap method for testing spatial correlation in a linear regression model. Given the consideration of a fixed spatial structure and heteroscedasticity of unknown form in the data, spatial bootstrap is a hybrid of recursive wild bootstrap method. Based on the Moran's index I, two versions of LM-Error and LM-Lag statistics, we demonstrate that the spatial bootstrap procedure can be used for model identification (pre-test) and diagnostic checking (post-test) of a spatial econometric model. With two empirical examples, the bootstrap method is proven to be an effective alternative to the theoretical asymptotic approach for hypothesis testing when the distribution assumption is violated.


A Spatial Investigation of σ-Convergence in China

April 2006

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42 Reads

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25 Citations

Current Version: March 21, 2006; First Version: January 13, 2006 Using techniques of spatial econometrics, this paper investigates σ-convergence of provincial real per capita gross domestic product (GDP) in China. The empirical evidence concludes that spatial dependence across regions is strong enough to distort the traditional measure of σ-convergence. This study focuses on the variation of per capita GDP that is dependent on the development processes of neighboring provinces and cities. This refinement of the conditional σ-convergence model specification allows for analysis of spatial dependence in the mean and variance. The corrected measure of σ-convergence in China indicates a lower level of dispersion in the economic development process. This implies a smaller divergence in real per capita GDP, although convergence across regions is still a challenging goal to achieve in the 2000s. 21世紀COEプログラム = 21st-Century COE Program [revised]


Citations (14)


... ),Anselin et al. (2008),Debarsy and Ertur (2010),Lee and Yu (2010a;2010b;2010c; 2010d;,Millo and Piras (2012),He (2015), leSage (2015), etc. ...

Reference:

The Contribution of Spatial Econometrics in the Field of Empirical Finance
Testing in a Random Effects Panel Data Model with Spatially Correlated Error Components and Spatially Lagged Dependent Variables

Econometrics

... They are typically used to help specifying the model in a specific-to-general procedure and are convenient to implement as they are based on the residuals of the model under the null. He and Lin (2015) consider a multi-dimensional spatial model where the disturbances are spatially autocorrelated (11.2), assuming no SMA component = 0, whereas the remainder term has a nested error component structure (11.17) assuming that = 0, proposing various standard LM statistics linked to joint and conditional LM tests. For example, consider the joint LM test: 1 0 : = = 2 = 2 = 0 vs. 1 1 : At least one of them is not zero. ...

Testing spatial effects and random effects in a nested panel data model
  • Citing Article
  • August 2015

Economics Letters

... For emerging financial markets, compared to VIX, research has been inadequate. Most research still focuses on the realized volatility of equity market, such as Tanai and Lin (2013) and Le and David (2014). The rest of this paper is organized as follows: the second section describes the data series used in the analysis. ...

Mongolian and World Equity Markets: Volatilities and Correlations

Eurasian Economic Review

... Also for ease of notation, we let X i and Z i denote the T × p and T × k matrices that consist of the T observations of X it and Z it , respectively. Model (1) is called a two-way fixed effects panel data model when μ i and ξ t are allowed to be correlated with {X it } in an unknown correlation structure [4,11,15,19,20]. On the other side, model (1) yields a two-way random effects panel data model [6,10,13,14,17,18,29,30,32]. ...

Locally adjusted LM test for spatial dependence in fixed effects panel data models
  • Citing Article
  • October 2013

Economics Letters

... This study reveals that judging a bootstrap test based only on size and power may be misleading as in reality one does not know whether or not the null hypothesis is true, and hence the seemingly 'correct' size and 'higher' power for certain tests may not be achievable. Some related works can be found in Lin et al. (2007Lin et al. ( , 2009). ...

Properties of Bootstrap Moran's I for Diagnostic Testing a Spatial Autoregressive Linear Regression Model
  • Citing Article

... This study reveals that judging a bootstrap test based only on size and power may be misleading as in reality one does not know whether or not the null hypothesis is true, and hence the seemingly 'correct' size and 'higher' power for certain tests may not be achievable. Some related works can be found in Lin et al. (2007Lin et al. ( , 2009). ...

Bootstrap Test Statistics for Spatial Econometric Models
  • Citing Article
  • May 2007

... In China, some scholars gradually studied different aspects of the co-movements for the different stock markets. For example, Song [21] established multiple GARCH models to study the volatility and intra-group dynamic relations of Asian stock markets. The results showed that there was significant volatility spillover and correlation infection among Asian stock markets, and DCC model was found to be better than other multivariate GARCH models. ...

Sequential-BEKK Multivariate GARCH Model and Its Application in Stock Market
  • Citing Article

... In a dissenting note, but focusing on a longer sample, He et al. (2003) find that return volatility is higher for B than for A shares. On the basis of a study of bid-ask spreads and an estimate of market-making costs (informed and uninformed trading costs), they conclude that the B-share market contains higher informed trading and other market-making costs than the A-share market, both factors which can explain away the volatility gap between the two markets (see also Lin et al., 2009). Besides, Wang et al. (2004), study interactions between Chinese A and B shares traded on the Shanghai and Shenzhen stock exchanges, using an asymmetric multivariate time-varying volatility model. ...

China and the World Equity Markets: A Review of the First Decade
  • Citing Article
  • February 2005

... Recent research has shown that epistemic logic can be applied to the analysis of common knowledge and an economic agent's rationality in game theory. Other than epistemic logic, in research on qualitative reasoning, for example in Lin and Farley (1991) and Berndsen and Daniels (1991), the logic programming PROLOG has been traditionally applied as an implementation of their reasoning models. Furthermore, there are more recent examples: Hinkkanen et al. (2003) applies notions and techniques of set-theoretical model theory to integrate qualitative and quantitative frameworks; Kerber et al. (2016) surveys applications of theorem provers based on proof theory in mathematical logic to economics problems; Blume et al. (2015) discusses market design from the viewpoint of computational complexity theory. ...

Qualitative economic reasoning: a disequilibrium perspective
  • Citing Article
  • May 1991

Computational Economics

... Warren (2008) used the Bootstrap method to research the heteroscedasticity, serial correlation or spatial error autocorrelation in a spatial panel data model [7]. Yang et al. [8] (2011) and Lin et al. [9] (2011) also used the Bootstrap method to test spatial dependence in a spatial cross-sectional data model. Ren et al. [10] (2014) studied the performance of Bootstrap tests for spatial pooled data models, Yang [11] (2015) tested spatial dependence in a spatial cross-sectional data model through LM tests, and Lee [12] (2015) focused on the test statistic for Moran's I test for the spatial dependence of a spatial cross-sectional data model. ...

The Size and Power of Bootstrap Tests for Spatial Dependence in a Linear Regression Model
  • Citing Article
  • August 2011

Computational Economics