COMMENT --------------------------------------- Betahat - Gauss3 ---------------------------------------
INPATH C:\Projects\Code\Beta\Benchmarks\Nonlinear
OPEN Gauss3_NIST.PRN
USE 1 250
NLS  Y b1*exp( -b2*x ) + b3*exp( -(x-b4)**2/b5**2 )  + b6*exp( -(x-b7)**2/b8**2 )     /  INPUTB B1=94.9 B2=0.009 B3=90.1 B4=113.0 B5=20.0 B6=73.7 B7=140.0 B8=20.0
NLS  Y b1*exp( -b2*x ) + b3*exp( -(x-b4)**2/b5**2 )  + b6*exp( -(x-b7)**2/b8**2 )     /  INPUTB B1=96.0 B2=0.0096 B3=80.0 B4=110.0 B5=25.0 B6=74.0 B7=139.0 B8=25.0

COMMENT --------------------------------------- Nist - Gauss3 ---------------------------------------
'Source is http://www.itl.nist.gov/div898/strd/nls/data/gauss3.shtml
COMMENT           Starting values                  Certified Values
COMMENT 
COMMENT         Start 1     Start 2           Parameter     Standard Deviation
COMMENT   b1 =    94.9        96.0         9.8940368970E+01  5.3005192833E-01
COMMENT   b2 =     0.009       0.0096      1.0945879335E-02  1.2554058911E-04
COMMENT   b3 =    90.1        80.0         1.0069553078E+02  8.1256587317E-01
COMMENT   b4 =   113.0       110.0         1.1163619459E+02  3.5317859757E-01
COMMENT   b5 =    20.0        25.0         2.3300500029E+01  3.6584783023E-01
COMMENT   b6 =    73.8        74.0         7.3705031418E+01  1.2091239082E+00
COMMENT   b7 =   140.0       139.0         1.4776164251E+02  4.0488183351E-01
COMMENT   b8 =    20.0        25.0         1.9668221230E+01  3.7806634336E-01
COMMENT 
COMMENT Residual Sum of Squares:                    1.2444846360E+03  
COMMENT Residual Standard Deviation:                2.2677077625E+00
COMMENT Degrees of Freedom:                               242
COMMENT Number of Observations:                           250
COMMENT