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Liability for Losses and Loss Expenses - Summary of Insurance Subsidiaries' Liability for Losses and Loss Expenses (Detail) - USD ($)
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Liability for Claims and Claims Adjustment Expense [Abstract]      
Balance at January 1 $ 606,664,590 $ 578,205,109 $ 538,258,406
Less reinsurance recoverable (259,147,147) (256,150,860) (245,957,364)
Net balance at January 1 347,517,443 322,054,249 292,301,042
Incurred related to:      
Current year 480,646,641 420,327,164 391,166,740
Prior years 6,621,413 2,988,739 7,200,134
Total incurred 487,268,054 423,315,903 398,366,874
Paid related to:      
Current year 288,379,600 248,106,788 236,834,666
Prior years 163,005,427 149,745,921 131,779,001
Total paid 451,385,027 397,852,709 368,613,667
Net balance at December 31 383,400,470 347,517,443 322,054,249
Plus reinsurance recoverable 293,271,257 259,147,147 256,150,860
Balance at December 31 $ 676,671,727 $ 606,664,590 $ 578,205,109