A more thorough explanation:

Admission of guilt is when someone admits that they committed a crime. This can be done by speaking or writing a statement. Even if someone doesn't say "I am guilty," their words can still show that they did something wrong.

For example, if someone says "I was there when it happened," that could be an admission of guilt because it shows they were involved in the crime. In a court case called U.S. v. Roberts, the court said that admitting to enough facts that would make someone guilty can also count as an admission of guilt.

Another example of an admission of guilt is if someone says "I did it, and I'm sorry." This clearly shows that they committed the crime and feel remorseful about it.