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Reinsurance - Ceded Reinsurance Transactions with Unaffiliated Reinsurers (Detail) - USD ($)
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Ceded Credit Risk [Line Items]      
Premiums written $ 320,956,412 $ 293,379,217 $ 269,363,012
Premiums earned 310,179,267 282,646,219 271,712,289
Prepaid reinsurance premiums 135,032,641 124,255,495  
Unaffiliated Entity [Member]      
Ceded Credit Risk [Line Items]      
Premiums written 51,241,267 45,354,233 40,997,351
Premiums earned 49,633,348 44,318,542 49,758,371
Losses and loss expenses 44,575,268 18,588,114 30,722,807
Prepaid reinsurance premiums 11,213,665 9,605,746 8,570,055
Liability for losses and loss expenses $ 116,689,871 $ 103,694,418 $ 113,023,942