Finding tax filing probability parameters: The solution converged.
After 55 function evaluations: fconst=-22.78771 fslope=0.59746
pop_filer_number_fraction= 0.10000
pop_filer_income_fraction= 0.50000
==> pop:
income fprob filer weight
count 1.000000e+06 1.000000e+06 1000000.0 1000000.0
mean 1.771876e+04 1.000455e-01 0.1 1.0
std 5.411221e+04 2.893777e-01 0.3 0.0
min 3.000000e+00 1.271168e-10 0.0 1.0
1% 4.350000e+02 1.645488e-10 0.0 1.0
5% 1.090000e+03 2.433598e-10 0.0 1.0
10% 1.729000e+03 3.564932e-10 0.0 1.0
25% 3.627000e+03 1.107972e-09 0.0 1.0
50% 8.091000e+03 1.595184e-08 0.0 1.0
75% 1.809800e+04 6.300023e-06 0.0 1.0
90% 3.788400e+04 4.616531e-01 0.1 1.0
95% 5.989205e+04 9.999977e-01 1.0 1.0
99% 1.493770e+05 1.000000e+00 1.0 1.0
max 2.059592e+07 1.000000e+00 1.0 1.0
income fprob filer weight
income 1.000000 0.452669 0.436593 NaN
fprob 0.452669 1.000000 0.964643 NaN
filer 0.436593 0.964643 1.000000 NaN
weight NaN NaN NaN NaN
==> sur:
income fprob filer weight
count 2.000000e+04 2.000000e+04 20000.000000 2.000000e+04
mean 1.772286e+04 9.988641e-02 0.100350 4.956777e+01
std 5.171526e+04 2.886590e-01 0.300474 5.904758e-12
min 7.000000e+00 1.274210e-10 0.000000 4.956777e+01
1% 4.080000e+02 1.619157e-10 0.000000 4.956777e+01
5% 1.104950e+03 2.455432e-10 0.000000 4.956777e+01
10% 1.746900e+03 3.603262e-10 0.000000 4.956777e+01
25% 3.631000e+03 1.110623e-09 0.000000 4.956777e+01
50% 8.203000e+03 1.705578e-08 0.000000 4.956777e+01
75% 1.821800e+04 6.768284e-06 0.000000 4.956777e+01
90% 3.790940e+04 4.654273e-01 1.000000 4.956777e+01
95% 5.888390e+04 9.999959e-01 1.000000 4.956777e+01
99% 1.446705e+05 1.000000e+00 1.000000 4.956777e+01
max 4.377438e+06 1.000000e+00 1.000000 4.956777e+01
income fprob filer weight
income 1.000000 0.469670 0.451887 NaN
fprob 0.469670 1.000000 0.964255 NaN
filer 0.451887 0.964255 1.000000 NaN
weight NaN NaN NaN NaN
agg_number_filers= 100000
agg_income_filers= 8.859 billion
Optimization terminated successfully.
Current function value: 0.000124
Iterations: 23
Function evaluations: 68
xvar= [-34.22370605 0.90687195]
func(xvar)= 0.00012426261956575705
imputed_aggregate_filer_income= 8.768 billion
==> imp:
income fprob filer weight
count 2.000000e+04 2.000000e+04 20000.000000 2.000000e+04
mean 1.772286e+04 9.988641e-02 0.101300 4.956777e+01
std 5.171526e+04 2.886590e-01 0.301733 5.904758e-12
min 7.000000e+00 1.274210e-10 0.000000 4.956777e+01
1% 4.080000e+02 1.619157e-10 0.000000 4.956777e+01
5% 1.104950e+03 2.455432e-10 0.000000 4.956777e+01
10% 1.746900e+03 3.603262e-10 0.000000 4.956777e+01
25% 3.631000e+03 1.110623e-09 0.000000 4.956777e+01
50% 8.203000e+03 1.705578e-08 0.000000 4.956777e+01
75% 1.821800e+04 6.768284e-06 0.000000 4.956777e+01
90% 3.790940e+04 4.654273e-01 1.000000 4.956777e+01
95% 5.888390e+04 9.999959e-01 1.000000 4.956777e+01
99% 1.446705e+05 1.000000e+00 1.000000 4.956777e+01
max 4.377438e+06 1.000000e+00 1.000000 4.956777e+01
income fprob filer weight
income 1.000000 0.469670 0.451772 NaN
fprob 0.469670 1.000000 0.973434 NaN
filer 0.451772 0.973434 1.000000 NaN
weight NaN NaN NaN NaN
filer variable crosstab:
survey: 0 1 All
impute
0 17868 106 17974
1 125 1901 2026
All 17993 2007 20000