Question: obtaining distrutions/densities

I already was explained that with maple is difficult to obtain the CDF of CharacteristicFunction of Z= (y1)^(1/2)+log((40-y2)*(80+2*y2-3y1))? where y1 = min(s1+X1, s2+X2) y2 = min(s3+X1, s4+X2) and Xi is IID uniforme[-1,1]. But .. could someone help me with some bibliographical references to deal with my problem?. It would help me to understand better and if possible to modify my formulation. Thanks in advance! Jean (I am using maple 10 under windows).
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