Former Playboy Playmate and reality TV star Anna Nicole Smith confirmed on her Web site Thursday that she is pregnant.

In a video streamed on the Internet, the widow of Texas oil baron J. Howard Marshall is seen floating in a swimming pool and says she is ready to "stop all the rumors."

"Yes. I am pregnant," Smith, 38, says in the video. "I'm happy, I'm very, very happy about it. Things are going really, really good, and I'll be checking in and out periodically on the Web, and I'll let you see me as I'm growing."

She does not reveal how many months pregnant she is or the identity of her baby's father.

Smith recently won a U.S. Supreme Court ruling that lets her continue her court battle against her stepson for a portion of her late husband's $1.6 billion estate. Smith was a 26-year-old stripper in 1994 when she married Marshall, who died a year later.

Smith has a son, Daniel, 20, from a previous relationship.