Write a function to handle specific logic for processing order events.
Implement process_order_events(events) to return the final status of each order. Each event is a dictionary with order_id, status, and integer timestamp. For each order, keep the event with the greatest timestamp. If timestamps tie, the event appearing later in the input wins. Return a dictionary mapping each order ID to its final status.
Input is a list of event dictionaries. The output is a dictionary. Return {} for an empty event list.
def process_order_events(events):