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We would like to take this opportunity to thank the discussants for theirthoughtful comments and encouragements on our work [arXiv:0808.1012]. Thediscussants raised a number of issues from theoretical as well as computationalperspectives. Our rejoinder will try to provide some insights into these issuesand address specific questions asked by the discussants.

Rejoinder: One-step sparse estimates in nonconcave penalized likelihood models