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Random-coefficient Models 1. Markov-switching model (MRS) 2. Threshold model 3. Quantile Regression model (QR) Constant-coefficient regression • Constant-coefficient regression models have been applied extensively in statistics • Various random-coefficient models have also emerged as viable competitors in particular fields of application – Quantile regression – Threshold model – Markov switching model • The conventional regression model – Cross-sectional data – Time-series data Constant-coefficient regression yi x ui ' i yt x ut ' t Constant-coefficient regression • We assume the sensitivities (i.e. β) of y to the x variables are identical for all observations • the beta is uniform from i=1…,N • the beta is uniform from t=1…,T • The beta= the first derivative of y with respect to x Threshold Models • The state is observable • The state is identified by if a threshold variable exceed a critical value • The keys – how to define the threshold variable? – how to estimate the threshold parameter? • Applications – cross-sectional data – time-series data Markov-switching Models • The state is unobservable • Estimate the probability of a specific state at each time point • Transition probability system – How to decide the probability? • Applications – Time-series data Quantile regression (QR) model • The effect of x on y could change by the quantile level of y • What is the quantile? – the quantile is a statistical term describing a division of observations into certain defined intervals based upon the values of the data – The magnitude of the y variable in term of probability • Applications – Cross-sectional data How Many Years for One SSCI Publication? How Many Years for One SSCI Publication? 2004 2005 2006 2007 2008 SSCI 發表總篇數 1 1 0 2 7+1 IF>0.5 之 SSCI 發表總篇數 國科會評定之優良國際期刊 0 0 0 0 0 0 1 1 5 5 0.327 0.327 0 0.849 3.518 IF 總合 How many SSCI journals in the world? • • • • Economics: 191 Management: 81 Finance: 45 Accounting: 20 (?) How to find the reference papers?