Evidence of the existence or non-existence of liability insurance is not admissible on the issue of negligence or wrongful conduct.

Fed. R. Evid. 412(b)(2) ("(b) Exceptions. ... (2) In a civil case, evidence offered to prove the sexual behavior or sexual predisposition of any alleged victim is admissible if it is otherwise admissible under these rules and its probative value substantially outweighs the danger of harm to any victim and of unfair prejudice to any...In a civil proceeding for sexual misconduct, other sexual conduct or sexual disposition of alleged victim is admissible if the probative value of the other conduct or of the victim's sexual disposition substantially outweighs the danger of harm to the alleged victim and the risk of unfair prejudice to a party.

Cf. Simmons v. United States, 390 U.S. 377, 384 (1968) (eyewitness identification evidence must be excluded if the "identification procedure was so impermissibly suggestive as to give rise to a very substantial likelihood of irreparable misidentification.").The federal constitutional guarantee of due process may limit the government's right to introduce unreliable hearsay evidence against a defendant in a criminal trial.

Fed. R. Evid. 404(a)(2) (Prosecution's evidence of the pertinent trait of the character of the alleged victim is admissible if it is offered to rebut character evidence of the alleged....If accused offers victim's character to show victim's doing of an act, the prosecution may offer rebutting evidence of victim's character.