Linganisha mbinu

	Kipimo cha Mizizi ya Muungano cha Bayesian ADF	Kipimo cha Mipaka cha Bayesian ARDL
Nyanja	Ekonometriki	Ekonometriki
Familia	Regression model	Regression model
Mwaka wa asili	1991–1992	2001 (ARDL); Bayesian extension 2010s
Mwanzilishi	Sims & Uhlig (1991); Koop, Osiewalski & Steel (1992)	Pesaran, Shin & Smith (ARDL framework, 2001); Bayesian adaptation by subsequent literature
Aina	Bayesian hypothesis test	Cointegration / bounds testing
Chanzo asilia	Sims, C. A., & Uhlig, H. (1991). Understanding unit rooters: A helicopter tour. Econometrica, 59(6), 1591–1599.	Pesaran, M. H., Shin, Y., & Smith, R. J. (2001). Bounds testing approaches to the analysis of level relationships. Journal of Applied Econometrics, 16(3), 289-326.
Majina mbadala	Bayesian ADF test, Bayesian unit root test, Bayesian Dickey-Fuller, BADF	Bayesian ARDL, Bayesian bounds testing approach, Bayes ARDL cointegration, Bayesian PSS bounds test
Zinazohusiana	6	5
Muhtasari	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.	The Bayesian ARDL Bounds Test extends the classical Pesaran-Shin-Smith (2001) bounds testing approach to cointegration by embedding it within a Bayesian inferential framework. Instead of relying on frequentist F- and t-statistics with tabulated critical values, the researcher specifies prior distributions on the model parameters and derives posterior evidence of a long-run level relationship between variables that may be integrated of order zero or one.