NEW YORK — The brother of imprisoned financier Bernard Madoff was sentenced Thursday to 10 years in prison for crimes committed in the shadow of his notorious sibling, by a judge who said she disbelieved his claims that he did not know about the epic fraud.

Peter Madoff, 67, agreed to serve the maximum sentence allowable to the charges of conspiracy and falsifying the books and records of an investment adviser that he pleaded guilty to in June.