@Walter Hinteler,
The Earl Marshal has responsibility for the organisation of State funerals and the monarch's coronation in Westminster Abbey.
The current Earl Marshal is Edward Fitzalan-Howard, 18th Duke of Norfolk, who inherited the position in 2002.
If he is not involved then there is no State funeral.
That last State funeral for a private citizen was that of The Rt Hon Sir Winston Churchill in 1965 and the last Royal State funeral was that of The Queen's father, George VI, in 1952.
Here is a list of State funerals for notable people--
Sir Philip Sidney (1586)
Admiral Robert Blake (1657)
Sir Isaac Newton (1727)[3]
The Viscount Nelson (1806)
The Duke of Wellington (1852)
The Viscount Palmerston (1865)
Lord Napier of Magdala (1890)
The Rt Hon William Gladstone (1898)
The Earl Roberts of Kandahar (1914)
The Earl Haig (1928)
The Lord Carson (1935)
The Rt Hon Sir Winston Churchill (1965).