Many holdover cases are settled, instead of going to trial, and the written agreement with the details of the settlement is called a stipulation. Holdover cases in rent regulated apartments that are settled might include an admission by the tenant of some wrongdoing such as paying the rent late, keeping a dog in violation of the lease, or causing a nuisance. In this type of settlement you might have to agree to go six months, or a year or more, without repeating the behavior. These probationary stipulations often include a judgment and a warrant but allow you to stay in your apartment as long as you do not violate the agreement. For example, you might have a probationary stipulation indicating that you will not be evicted if you pay the rent on time every month for a year.
You should try to get legal advice when deciding whether or not to sign a stipulation with probation. Keep in mind that by settling the case, the landlord does not have to prove his case against you and you will not have an opportunity to present evidence that you did not do the alleged behavior. Remember that if you violate the agreement, even once, the judgment allows the landlord to move forward on the eviction process.