An Econometric Analysis of Some Models for Constructed Binary Time Series
AbstractMacroeconometric and fi?nancial researchers often use secondary or constructed binary random variables that differ in terms of their sta- tistical properties from the primary random variables used in micro- econometric studies. One important difference between primary and secondary binary variables is that, while the former are, in many in- stances, independently distributed (i.d.), the latter are rarely i.d. We show how popular rules for constructing the binary states interact with the stochastic processes for of the variables they are constructed from, so that the binary states need to be treated as Markov processes. Consequently, one needs to recognize this when performing analyses with the binary variables, and it is not valid to adopt a model like sta- tic Probit which fails to recognize such dependence. Moreover, these binary variables are often censored, in that they are constructed in such a way as to result in sequences of them possessing the same sign. Such censoring imposes restrictions upon the DGP of the binary states and it creates difficulties if one tries to utilize a dynamic Probit model with them. Given this we describe methods for modeling with these explicitly deals with any censoring constraints. An application is provided that investigates the relation between the business cycle and the yield spread.
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Bibliographic InfoArticle provided by American Statistical Association in its journal Journal of Business and Economic Statistics.
Volume (Year): 29 (2011)
Issue (Month): 1 ()
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Other versions of this item:
- Don Harding & Adrian Pagan, 2009. "An Econometric Analysis of Some Models for Constructed Binary Time Series," NCER Working Paper Series 39, National Centre for Econometric Research, revised 02 Jul 2009.
- Don Harding & Adrian Pagan, 2009. "An Econometric Analysis Of Some Models For Constructed Binary Time Series," CAMA Working Papers 2009-08, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
- C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
- E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
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