FITTING A WEIBULL DISTRIBUTION

TO RESIDENCY OCCUPANCY DATA

F(x) x y lnx

0.05 0.28 -2.97019 -1.27297

0.10 0.56 -2.25037 -0.57982

0.25 1.40 -1.24590 0.33647

0.50 5.20 -0.36651 1.64866

0.75 17.10 0.32663 2.83908

0.90 32.00 0.83403 3.46574

0.95 41.40 1.09719 3.72328

0.99 64.20 1.52718 4.16200

LEAST SQUARES REGRESSION LINE:

y = - 1.78 + 0.782 lnx

(R-sq = 99.2%)

F(x) x W(.8,10) W(.8,11)

0.05 0.28 0.2441 0.2685

0.10 0.56 0.6003 0.6603

0.25 1.40 2.1069 2.3176

0.50 5.20 6.3246 6.9570

0.75 17.10 15.0425 16.5467

0.90 32.00 28.3641 31.2005

0.95 41.40 39.4120 43.3532

0.99 64.20 67.4617 74.2078

Correlations

x W(.8,10)

W(.8,10) 0.996

W(.8,11) 0.996 1.000

SOLID: EMPIRICAL PERCENTILES

DASHED: CDF FOR W(0.8, 10) DOTTED: CDF FOR W(0.8, 11)

 

WIEBULLS WITH SAME ALPHA:

ALPHA = 2 SOLID: BETA = 1

DASHED: BETA = 10 DOTTED: BETA = 20

 

ALPHA = 2, BETA = 1 ON DIFFERENT SCALE: