spontaneous exclamation n. a sudden statement caused by the speaker having seen a surprising, startling or shocking event, (such as an accident or a death), or having suffered an injury. Even though the person who made the spontaneous exclamation is not available (such as he/she is dead or missing), a person who heard the exclamation may testify about it as an exception to the rule against "hearsay" evidence. The reason is that such an exclamation lacks planning and is assumed to have the ring of truth to it. Examples: "Chauncey shot me," "my leg is broken," "the blue Chevrolet hit me." (See: hearsay)
http://legal-dictionary.thefreedictionary.com/Excited+utterance
Hearsay
A statement made out of court that is offered in court as evidence to prove the truth of the matter asserted.
It is the job of the judge or jury in a court proceeding to determine whether evidence offered as proof is credible. Three evidentiary rules help the judge or jury make this determination: (1) Before being allowed to testify, a witness generally must swear or affirm that his or her testimony will be truthful. (2) The witness must be personally present at the trial or proceeding in order to allow the judge or jury to observe the testimony firsthand. (3) The witness is subject to cross-examination at the option of any party who did not call the witness to testify.
Hearsay Exceptions: Availability of Declarant Immaterial Present Sense Impression. "A statement describing or explaining an event or condition made while the declarant was perceiving the event or condition, or immediately thereafter," is admissible hearsay (Fed. R. Evid. 803(1)). An example is the statement "That green pickup truck is going to run that red light."
2.
Excited Utterance. "A statement relating to a startling event or condition made while the declarant was under the stress of excitement caused by the event or condition" is admissible hearsay (Fed. R. Evid. 803(2)). For example, "The robber is pointing a gun at the cop!" is admissible.
5. Recorded Recollection. "A memorandum or record concerning a matter about which a witness once had knowledge but now has insufficient recollection to enable the witness to testify fully and accurately" is admissible (Fed. R. Evid. 803(5)).
The record must have been made when the matter was fresh in the witness's memory and must reflect that knowledge correctly. One example is a detailed phone message.
18. Reputation as to Character.
The "reputation of a person's character among associates or in the community" is admissible hearsay (Fed. R. Evid. 803(21)). One example is the statement "Sergei has never said a dishonest word."
admission against interest n. an admission of the truth of a fact by any person, but especially by the parties to a lawsuit, when a statement obviously would do that person harm, be embarrassing, or be against his/her personal or business interests. A third party can quote in court an admission against interest even though it is only hearsay. (See: hearsay, admission)
http://legal-dictionary.thefreedictionary.com/admission against interest
http://legal-dictionary.thefreedictionary.com/hearsay