Port Authority News Conference now reporting aircraft landed on RWY 13 length 7000' and exited the runway aprox. 4500' from the threshold. Aircraft did not exit end of runway or go through EMAS (Excursion Mitigating and arresting system)
EMAS is Engineered Materials Arresting System, not Excursion Mitigating. Generally, a runway excursion is away from the centerline, where an overrun is in line with runway heading, but past the threshold (which EMAS is designed to arrest)
According to FlightAware Delta 1086, a MD-88, from ATL arrived LGA at 1556Z
The aircraft arrived closer to 1603Z.
Winds aloft from National Weather Service Radiosonde at 1200Z at Upton Long Island(about 40 nautical miles east of LGA) were reported from 350 degrees at 16 knots true at 414 feet msl and from 350 degrees at 22 knots true at 1000 feet msl .
So, not a massive wind shift in speed or direction, as the preceding aircraft reported 020@10, and the closest METAR indicates 010@8.