That's what me and mine have decided on. I wouldn't want to burden her with the expense and bother of organising a funeral and she feels likewise. I have instructed that no one in the family is told about my demise till after it is all over.
When my father died his wife didn't tell me or my siblings until after he had been buried (in the back garden of their house). It was quite upsetting to find out that way, we didn't even know he had been ill.