Excess & surplus.

Surplus lines include specialized property or liability coverage that isn't available from insurers licensed by the state (called admitted insurers) and must be purchased from a nonadmitted carrier.

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Direct Premiums Written 2003 ($ billions)

American Intl Group Inc [18540]
Lloyd's [852021]
Zurich/Farmers Group [18549]
Markel Group [18468]
Nationwide Group [05987]
St Paul Travelers Cos (1) [18358]
Ace LNA Group [18498]
Berkshire Hathaway [00811]
WR Berkley [04655]
CNA Ins Cos [18313]

Note: Table made from bar graph.

(1) This group officially formed in 2004, but 2003 surplus lines
combined

Source: Special Report: Excess and Surplus 2004 (Published 09/20/2004)