Melissa Rivers said Tuesday that she knows her mother would be overwhelmed by the continuing outpouring of kindness.

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Joan Rivers is still in a New York hospital, and her situation is still very serious.

Although there have been a variety of reports about Rivers, 81, a statement we just received from her daughter, Melissa Rivers, says:

"On behalf of my mother and our family, we are extremely grateful for all the love and support we've received.

"At this time she does remain on life support.

"I know my mother would be overwhelmed by the continued outpouring of kindness and I want to thank everyone for keeping us in their prayers."

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