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Reinsurance (Effect of Reinsurance and Retrocessional Activity on Premiums Written and Earned and on Net Claims and Claim Expenses) (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
Sep. 30, 2018 | Sep. 30, 2017 | Sep. 30, 2018 | Sep. 30, 2017
Premiums written |  |  |  |
Direct | $ 74,635 | $ 64,040 | $ 250,375 | $ 205,253
Assumed | 551,042 | 576,229 | 2,512,297 | 2,184,521
Ceded | (172,422) | (157,048) | (1,041,864) | (806,672)
Net premiums written | 453,255 | 483,221 | 1,720,808 | 1,583,102
Premiums earned |  |  |  |
Direct | 73,356 | 61,908 | 213,292 | 176,433
Assumed | 760,920 | 712,499 | 1,968,138 | 1,731,845
Ceded | (302,427) | (226,615) | (779,914) | (612,176)
Net premiums earned | 531,849 | 547,792 | 1,401,516 | 1,296,102
Claims and claim expenses |  |  |  |
Gross claims and claim expenses incurred | 514,873 | 2,482,510 | 817,560 | 2,924,217
Claims and claim expenses recovered | (104,363) | (1,260,814) | (175,180) | (1,366,853)
Net claims and claim expenses incurred | $ 410,510 | $ 1,221,696 | $ 642,380 | $ 1,557,364

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