Table 1: Simulation 1 (proband data). Estimated CDF and standard errors from the direct optimization of proband-only analysis, 𝑛 = 2 0 0 0 , 1000 replications.

CAG = 41 CAG = 46 CAG = 50
Age 𝐹 ( 𝑡 𝐴 𝑖 ) Mean 𝐹 ( 𝑡 𝐴 𝑖 ) Empi: sd Mean s d 𝐹 ( 𝑡 𝐴 𝑖 ) Mean 𝐹 ( 𝑡 𝐴 𝑖 ) Empi: sd Mean s d 𝐹 ( 𝑡 𝐴 𝑖 ) Mean 𝐹 ( 𝑡 𝐴 𝑖 ) Empi: sd Mean s d

100.0001 0.00010.00000.00000.0003 0.0003 0.0001 0.0001 0.0011 0.0012 0.0005 0.0004
20 0.0006 0.0007 0.0002 0.0002 0.0049 0.0048 0.0008 0.0009 0.0301 0.0309 0.0066 0.0060
30 0.0046 0.0049 0.0011 0.0012 0.0717 0.0709 0.0066 0.0068 0.4560 0.4578 0.0253 0.0248
40 0.0322 0.0335 0.0051 0.0054 0.5492 0.5487 0.0171 0.0162 0.9577 0.9572 0.0084 0.0077
50 0.1944 0.1972 0.0162 0.0160 0.9505 0.9509 0.0052 0.0056 0.9984 0.9983 0.0007 0.0006
60 0.6368 0.6358 0.0227 0.0219 0.9967 0.9967 0.0006 0.0007 0.9999 0.9999 0.0000 0.0000
70 0.9272 0.9252 0.0102 0.0108 0.9998 0.9998 0.0001 0.0001 1.0000 1.0000 0.0000 0.0000
80 0.9893 0.9887 0.0025 0.0026 1.0000 1.0000 0.0000 0.0000 1.0000 1.0000 0.0000 0.0000
90 0.9985 0.9984 0.0005 0.0005 1.0000 1.0000 0.0000 0.0000 1.0000 1.0000 0.0000 0.0000