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This ?gure represents the distribution of the individual discount rates for the value = 0:4116 that maximizes the log-likelihood (upper curve) as well as the empirical distribution and Weitzman (2001)'s distribution (lower curve) Our distribution corresponds to the sum of two independent gamma distributions with parameters ( 1 ; 1 ) and ( 2 ; 2 ) given by ( 1 ; 1 ; 2 ; 2 ) = (1:04, These parameters correspond to mean and variance levels given by, p.450482 ,