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SEGMENT INFORMATION - Net premiums earned (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Revenue from External Customer [Line Items]                      
Net premiums earned $ 1,172,051 $ 1,157,307 $ 1,123,607 $ 1,134,212 $ 1,214,469 $ 1,224,075 $ 1,185,548 $ 1,167,402 $ 4,587,178 $ 4,791,495 $ 4,148,760
Operating Segments                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 4,587,178 4,791,495 4,148,760
Operating Segments | Insurance                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 2,190,084 2,362,606 1,816,438
Operating Segments | Insurance | Property                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 633,550 796,945 543,342
Operating Segments | Insurance | Marine                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 281,764 300,944 181,533
Operating Segments | Insurance | Terrorism                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 47,345 49,150 36,084
Operating Segments | Insurance | Aviation                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 55,028 74,203 75,107
Operating Segments | Insurance | Credit and political risk                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 91,698 102,825 56,432
Operating Segments | Insurance | Professional lines                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 661,250 570,241 519,759
Operating Segments | Insurance | Liability                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 264,667 229,373 188,770
Operating Segments | Insurance | Accident and health                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 144,499 207,777 199,121
Operating Segments | Insurance | Discontinued lines - Novae                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 10,283 31,148 16,290
Operating Segments | Reinsurance                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 2,397,094 2,428,889 2,332,322
Operating Segments | Reinsurance | Catastrophe                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 267,591 250,016 209,470
Operating Segments | Reinsurance | Property                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 311,625 317,038 304,376
Operating Segments | Reinsurance | Professional lines                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 206,328 220,687 226,622
Operating Segments | Reinsurance | Credit and surety                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 208,717 250,276 244,186
Operating Segments | Reinsurance | Motor                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 398,565 438,693 371,501
Operating Segments | Reinsurance | Liability                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 373,664 363,292 351,940
Operating Segments | Reinsurance | Agriculture                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 188,925 176,435 195,391
Operating Segments | Reinsurance | Engineering                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 63,899 67,932 66,291
Operating Segments | Reinsurance | Marine and other                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 59,209 35,570 64,449
Operating Segments | Reinsurance | Accident and health                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 319,619 299,813 289,925
Operating Segments | Reinsurance | Discontinued lines - Novae                      
Revenue from External Customer [Line Items]                      
Net premiums earned                 $ (1,048) $ 9,137 $ 8,171