I believe (note that I said "believe", not "know") that a citizen's arrest can only be done to prevent a violent felony.
That probably varies with jurisdiction.
Mississippi Code § 97-3-15. Homicide; justifiable homicide; use of defensive force; duty to retreat.
(1) The killing of a human being by the act, procurement or omission of another shall be justifiable in the following cases:
...
(e) When committed by any person in resisting any attempt unlawfully to kill such person or to commit any felony upon him, or upon or in any dwelling, in any occupied vehicle, in any place of business, in any place of employment or in the immediate premises thereof in which such person shall be;
(f) When committed in the lawful defense of one's own person or any other human being, where there shall be reasonable ground to apprehend a design to commit a felony or to do some great personal injury, and there shall be imminent danger of such design being accomplished;
(g) When necessarily committed in attempting by lawful ways and means to apprehend any person for any felony committed;