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Reserves for Loss and Loss Expenses (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Dec. 31, 2018
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]      
Net reserves at beginning of period $ 10,248,883 $ 10,056,914  
Net provision for losses and loss expenses:      
Claims occurring during the current year 971,806 956,181  
Decrease in estimates for claims occurring in prior years 6,481 (3,582)  
Loss reserve discount accretion 10,363 10,620  
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 988,650 963,219  
Net payments for claims:      
Current year 295,873 111,030  
Prior years 567,756 810,709  
Total 863,629 921,739  
Foreign currency translation (163) 2,501  
Net reserves at end of period 10,373,741 10,100,895  
Ceded reserves at end of period 1,719,369 1,684,000  
Gross reserves at end of period $ 12,093,110 $ 11,784,895 $ 11,966,448