Citibank N.A. will change the way it uses ChexSystems to evaluate potential depositors as part of an agreement with New York State Attorney General Eric Schneiderman, the Attorney General's office announced Wednesday.

The bank will still consult ChexSystems as part its anti-fraud effort, but will change its "account abuse" screening and stop rejecting applications for checking accounts from people who have isolated or minor banking errors such as paid debts or a small overcharge, according to the attorney general.

"No one should be denied access to a bank account because of a bounced check from years ago or because they were a victim of identity theft," Schneiderman said. "Denials like these force low-income Americans – and New Yorkers in particular – to resort to high-cost alternatives to banks, simply because of a small financial error in the past."