David Bowie's family have extended appreciation to all the global tributes paid to Davis since his death.
In an appreciation statement on Bowie’s Facebook page, it noted that there was going to be a private burial in honour of the late singer. The statement further welcomed the concerts and tributes that have been planned, but pointed out they were not officially endorsed.
This is contrary to reports by the Daily mirror that the singer's body has been privately cremated in New York. In line with his wishes, no family or friends were present at the ceremony, the Daily Mirror reported.
A publicist for the singer told the BBC they were "neither confirming nor denying" the story.
The family statement titled "Thank you", said: "The family of David Bowie is currently making arrangements for a private ceremony celebrating the memory of their beloved husband, father and friend.They ask once again that their privacy be respected at this most sensitive of times. We are overwhelmed by and grateful for the love and support shown throughout the world.
"However, it is important to note that while the concerts and tributes planned for the coming weeks are all welcome, none are official memorials organized or endorsed by the family. Just as each and every one of us found something unique in David's music, we welcome everyone's celebration of his life as they see fit."
Bowie who died of cancer on Sunday, aged 69 had released a new album, Blackstar, just two days before his death, which has been retrospectively interpreted as his epitaph.
Although the record features lyrics such as "Look up here, I'm in heaven," its producer Tony Visconti said the star had written and demo-ed five new songs in recent weeks.
Speaking to Rolling Stone magazine, Visconti said Bowie had called him about a week before his death and "at that late stage, he was planning the follow-up to Blackstar".
Visconti will be one of the musicians performing at a memorial concert for Bowie at New York's Carnegie Hall in March.The Music of David Bowie had originally been billed as a tribute show, with artists including Cyndi Lauper and The Roots also performing, but the event will now give fans the opportunity to mourn.
Tributes will also be paid at next month's Brit Awards, with a performance celebrating the "extraordinary life and work of one of our greatest icons".
Meanwhile, Blackstar is set to become Bowie's first number one album in the US, as sales surged after news of his death broke on Monday.