The woman was found floating in the river on Oct. 1 near Hoboken.
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Detectives have identified her as 62-year-old Debra King of the Bronx, who was reported missing on Sept. 23.
New Jersey State Police had created a composite sketch of the woman.
After seeing the sketch, members of the NYPD contacted detectives from the Hudson County Prosecutor's Office, and the identification was made.
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The circumstances surrounding her death remain under investigation.
Law enforcement sources say King was reportedly suicidal and suffered from depression, for which she was taking medication.
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