A man is being questioned over the murder of 62-year-old blues musician James Gilchrist in Londonderry.
Mr Gilchrist's children Martin, Catherine and Ann read a statement
Mr Gilchrist's body was found in the River Foyle last Wednesday, and initially police said they were not treating the death as suspicious.
On Wednesday, police said they were treating the death as murder and carried out searches on the riverfront.
The police have said there were marks on the victim's body and some of his personal items were also missing.
These included his wallet and mobile phone. His racing bike still has not been found.
Mr Gilchrist, a blues musician, was last seen leaving the Oval Bar on Duke Street in the Waterside in the early hours of Wednesday last week.
The 62-year-old had been at a meeting of a local motorcycle club.
Detective Chief Inspector Tom Woods said he was spotted at the bottom of John Street where he would have turned right onto the Foyle embankment.
Mr Woods said police would like to speak to a man seen exchanging words with Mr Gilchrist as he cycled down John Street.
Detectives also want anyone else who was in the area at about 0030 or 0045 BST on Wednesday morning to contact them.
His family had suspected all along that he had been murdered.