Late to the table, but I do know a bit about this. I stopped a couple years ago as soon as gov threatened changes in look back periods and eligibility requirements.
'Improved Pension' is also known as 'Aid and Attendance' - Google that and your likely to find more info.
"Aid and Attendance Pension" is only available to certain Vets:
1. They had to have served during wartime/ conflict. There are specific dates to qualify.
2. Must have a medical need for assistance. (Aide and Attendance)
3. Must meet financial criteria. It is a complicated formula based on age and assets.
There are attorneys that specialize in this area and it takes tons of paperwork and months to process thru VA, but the Veteran/ his wife or widow can qualify for over $2000 per month.