Daniel Smith, the 20-year-old son of Anna Nicole Smith, died suddenly in the Bahamas on Sunday, three days after the former Playboy Playmate gave birth to a girl, according to a statement from Smith’s attorney.

Attorney Howard K. Stern provided no further details, Reuters reports.

Daniel Smith, who often appeared on his mother’s E! cable channel reality program The Anna Nicole Show, was in the Caribbean nation where his mother, 38, gave birth to a girl on Thursday, Stern said.

A statement also was posted on Smith’s official Web site, annanicole.com. “On Sept. 7 Anna Nicole gave birth to a healthy 6 lb., 9 oz. baby girl,” it reads. “Her son Daniel was in the Bahamas with her to share in the joy of his baby sister when he passed away suddenly on the morning of Sept. 10.

“We have yet to learn the cause of death but do not believe that drugs or alcohol were a factor. Anna Nicole is absolutely devastated by the loss of her son. He was her pride and joy and an amazing human being. Please do not make any press inquiries at this time so that Anna Nicole can grieve in peace.”

Smith, who earlier this year won a U.S. Supreme Court decision to claim her stake in the will of her late husband, billionaire J. Marshall Howard, has not publicly named the father of her second child.