手法を比較

	ベイズ型Phillips-Perron単位根検定	ベイズ的ADF単位根検定
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	1988 / early 1990s	1991–1992
提唱者	Phillips & Perron (classical test, 1988); Bayesian framework: Sims & Uhlig (1991)	Sims & Uhlig (1991); Koop, Osiewalski & Steel (1992)
種類	Unit root test (Bayesian)	Bayesian hypothesis test
原典	Phillips, P. C. B., & Perron, P. (1988). Testing for a unit root in time series regression. Biometrika, 75(2), 335-346.	Sims, C. A., & Uhlig, H. (1991). Understanding unit rooters: A helicopter tour. Econometrica, 59(6), 1591–1599.
別名	Bayesian PP test, Bayesian Phillips-Perron test, Bayesian nonparametric unit root test, Bayes PP unit root	Bayesian ADF test, Bayesian unit root test, Bayesian Dickey-Fuller, BADF
関連	5	6
概要	The Bayesian Phillips-Perron unit root test combines the nonparametric long-run variance correction of the classical Phillips-Perron test with a Bayesian inferential framework. Instead of a p-value, it yields a posterior probability or Bayes factor quantifying evidence for or against a unit root, allowing researchers to incorporate prior economic knowledge and obtain probability statements directly about the persistence of a time series.	The Bayesian Augmented Dickey-Fuller (BADF) unit root test re-frames the classical ADF test within a Bayesian framework. Rather than computing a frequentist p-value, it quantifies evidence for or against a unit root by comparing posterior probabilities or Bayes factors under the null (unit root) and alternative (stationarity) hypotheses, incorporating prior beliefs about the autoregressive parameter.