Testing the Intercept of a Balanced Predictive Regression Model

Testing predictability is known to be an important issue for the balanced predictive regression model. Some unified testing statistics of desirable properties have been proposed, though their validity depends on a predefined assumption regarding whether or not an intercept term nevertheless exists....

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Main Authors: Qijun Wang, Xiaohui Liu, Yawen Fan, Ling Peng
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/11/1594
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author Qijun Wang
Xiaohui Liu
Yawen Fan
Ling Peng
author_facet Qijun Wang
Xiaohui Liu
Yawen Fan
Ling Peng
author_sort Qijun Wang
collection DOAJ
description Testing predictability is known to be an important issue for the balanced predictive regression model. Some unified testing statistics of desirable properties have been proposed, though their validity depends on a predefined assumption regarding whether or not an intercept term nevertheless exists. In fact, most financial data have endogenous or heteroscedasticity structure, and the existing intercept term test does not perform well in these cases. In this paper, we consider the testing for the intercept of the balanced predictive regression model. An empirical likelihood based testing statistic is developed, and its limit distribution is also derived under some mild conditions. We also provide some simulations and a real application to illustrate its merits in terms of both size and power properties.
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spelling doaj.art-e39e59c83e234a58bdec0dda80255e932023-11-24T04:36:47ZengMDPI AGEntropy1099-43002022-11-012411159410.3390/e24111594Testing the Intercept of a Balanced Predictive Regression ModelQijun Wang0Xiaohui Liu1Yawen Fan2Ling Peng3School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaSchool of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaSchool of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaSchool of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaTesting predictability is known to be an important issue for the balanced predictive regression model. Some unified testing statistics of desirable properties have been proposed, though their validity depends on a predefined assumption regarding whether or not an intercept term nevertheless exists. In fact, most financial data have endogenous or heteroscedasticity structure, and the existing intercept term test does not perform well in these cases. In this paper, we consider the testing for the intercept of the balanced predictive regression model. An empirical likelihood based testing statistic is developed, and its limit distribution is also derived under some mild conditions. We also provide some simulations and a real application to illustrate its merits in terms of both size and power properties.https://www.mdpi.com/1099-4300/24/11/1594balanced predictive regression modelinterceptempirical likelihoodstationarynon-stationary
spellingShingle Qijun Wang
Xiaohui Liu
Yawen Fan
Ling Peng
Testing the Intercept of a Balanced Predictive Regression Model
Entropy
balanced predictive regression model
intercept
empirical likelihood
stationary
non-stationary
title Testing the Intercept of a Balanced Predictive Regression Model
title_full Testing the Intercept of a Balanced Predictive Regression Model
title_fullStr Testing the Intercept of a Balanced Predictive Regression Model
title_full_unstemmed Testing the Intercept of a Balanced Predictive Regression Model
title_short Testing the Intercept of a Balanced Predictive Regression Model
title_sort testing the intercept of a balanced predictive regression model
topic balanced predictive regression model
intercept
empirical likelihood
stationary
non-stationary
url https://www.mdpi.com/1099-4300/24/11/1594
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AT yawenfan testingtheinterceptofabalancedpredictiveregressionmodel
AT lingpeng testingtheinterceptofabalancedpredictiveregressionmodel