"The decedent left surviving no spouse; issue; parents; brothers, sisters or issue of deceased brothers or sisters other than those named in this petition," Tyka Nelson wrote in a filing to a county court in Minnesota state.
"I do not know of the existence of a will and have no reason to believe that the decedent executed testamentary documents in any form."
Prince died last week at the age of 57 at his Paisley Park studio complex on the outskirts of Minneapolis. No cause of death has yet been given.
Prince was also known to keep a legendary vault stuffed with decades of unreleased songs, whose fate is uncertain following his unexpected death.
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Nelson is Prince's only surviving sibling. He was married twice, but both marriages ended in divorce. A son born into one marriage died days later due to a rare genetic disorder known as Pfeiffer syndrome.
Nelson asked that the Carver County District Court appoint wealth management firm Bremer Trust to administer the estate.