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Reinsurance (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
Reinsurance [Abstract] |  |  |  |  |  |  |  |  |  |  |
Written premiums: Direct |  |  |  |  |  |  |  |  | $ 2,783,036 | $ 2,240,951 | $ 2,083,555
Written premiums: Assumed |  |  |  |  |  |  |  |  | 6,350,328 | 6,234,203 | 5,090,367
Written premiums: Ceded |  |  |  |  |  |  |  |  | (1,308,940) | (1,060,726) | (929,261)
Net written premiums | $ 2,120,186 | $ 2,068,557 | $ 1,783,983 | $ 1,851,698 | $ 2,057,071 | $ 1,938,773 | $ 1,746,378 | $ 1,672,206 | 7,824,424 | 7,414,428 | 6,244,661
Premiums earned: Direct |  |  |  |  |  |  |  |  | 2,551,662 | 2,129,320 | 1,825,705
Premiums earned: Assumed |  |  |  |  |  |  |  |  | 6,059,222 | 5,807,332 | 4,945,522
Premiums earned: Ceded |  |  |  |  |  |  |  |  | (1,207,198) | (1,004,953) | (833,387)
Net premiums earned | $ 1,948,071 | $ 1,905,619 | $ 1,817,299 | $ 1,732,697 | $ 1,850,975 | $ 1,731,479 | $ 1,729,818 | $ 1,619,427 | 7,403,686 | 6,931,699 | 5,937,840
Incurred losses and LAE: Direct |  |  |  |  |  |  |  |  | 1,618,686 | 1,372,589 | 1,311,682
Incurred losses and LAE: Assumed |  |  |  |  |  |  |  |  | 3,923,298 | 5,046,947 | 3,909,816
ncurred losses and LAE: Ceded |  |  |  |  |  |  |  |  | (619,086) | (768,133) | (698,917)
Net incurred losses and LAE |  |  |  |  |  |  |  |  | $ 4,922,898 | $ 5,651,403 | $ 4,522,581

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