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In Ciuperca (2012) (Ciuperca. Model selection by LASSO methods in achange-point model, Stat. Papers, 2012; (in press)), the author considered alinear regression model with multiple change-points occurring at unknown times.In particular, the author studied the asymptotic properties of the LASSO-typeand of the adaptive LASSO estimators. While the established results seeminteresting, we point out some major errors in proof of the most importantresult of the quoted paper. Further, we present a corrected result and proof.

A short note on model selection by LASSO methods in a change-point model