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Investment in the Funds - Assets, Liabilities and Partners' Capital of Funds (Detail) - USD ($)
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
Investment Holdings [Line Items]        
Total Assets $ 48,241,893 $ 62,974,449    
Total Liabilities 1,743,680 2,984,051    
Total Partners' Capital 46,498,213 59,990,398 $ 92,853,450 $ 117,882,791
SECOR Master Fund [Member]        
Investment Holdings [Line Items]        
Total Assets 22,831,484 39,231,542    
Total Liabilities 18,066,303 679,104    
Total Partners' Capital $ 4,765,181 $ 38,552,438