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Reinsurance - Amounts Represent Effect of Reinsurance on Premiums Earned (Detail) - USD ($)
3 Months Ended 12 Months Ended
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Reinsurance Disclosures [Abstract]                      
Direct                 $ 561,178,447 $ 515,721,745 $ 480,210,534
Assumed                 451,515,575 423,129,271 397,142,483
Ceded                 (310,179,267) (282,646,219) (271,712,289)
Net premiums earned $ 181,059,920 $ 177,283,816 $ 175,014,872 $ 169,156,147 $ 168,977,030 $ 166,809,851 $ 161,942,637 $ 158,475,279 $ 702,514,755 $ 656,204,797 $ 605,640,728
Percentage of assumed premiums earned to net premiums earned                 64.30% 64.50% 65.60%