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A report into the hospitals put into special measures following the Keogh Report has found death rates at Buckinghamshire Healthcare NHS Trust have fallen.
It was one of 11 to be put into special measures for having high mortality rates in July 2013, although the measures have now been lifted.
A report by healthcare analysts Dr Foster found the deaths at the 11 trusts have fallen by 10% which equates to around 450 lives.
Professor Edward Baker, deputy chief inspector of hospitals, said: "We are impressed by the leadership shown in many of these trusts that has led to these measurable improvements in quality.
"Our new inspection model has helped us get under the skin of hospitals so we now assess whether care is either outstanding, good, requires improvement or is inadequate.
"The special measures process is doing what it set out to do, and I am confident that it will lead to further improvements.''
Professor Sir Bruce Keogh, national medical director at NHS England, said: "Mortality statistics require careful interpretation, but they do provide an important smoke signal.
"What this report shows is that by following the smoke and carrying out proper, transparent analysis and supporting as necessary, you can help hospitals make significant improvements for their local communities.''
One of the hospitals - Tameside Hospital Trust in Greater Manchester - actually saw mortality rates rise however.
It said it has been focussed on improving patient care and will now look at the way it records mortality data.