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SEGMENT INFORMATION - Gross premiums written (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Revenues from External Customers and Long-Lived Assets [Line Items]      
Gross premiums written $ 5,556,273 $ 4,970,208 $ 4,603,730
Bermuda      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Gross premiums written 529,425 465,980 525,226
Ireland      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Gross premiums written 1,569,956 1,650,229 1,532,753
U.S.      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Gross premiums written 2,814,933 2,562,789 2,364,099
Lloyd's of London      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Gross premiums written $ 641,959 $ 291,210 $ 181,652