Table 3 Minimum and maximum parameters [ a,b] of uniform distribution given mean μ and variance τ ²

0.01

0.05

0.1

[0.045,0.155]

0.15

[0.095,0.205]

[0.028,0.272]

0.2

[0.145,0.255]

[0.078,0.322]

[0.027,0.373]

0.25

[0.195,0.305]

[0.128,0.372]

[0.077,0.423]

[0.038,0.462]

[0.005,0.495]

0.3

[0.245,0.355]

[0.178,0.422]

[0.127,0.473]

[0.088,0.512]

[0.055,0.545]

[0.026,0.574]

[0,0.6]

0.35

[0.295,0.405]

[0.228,0.472]

[0.177,0.523]

[0.138,0.562]

[0.105,0.595]

[0.076,0.624]

[0.05,0.65]

[0.026,0.674]

[0.004,0.696]

0.4

[0.345,0.455]

[0.278,0.522]

[0.227,0.573]

[0.188,0.612]

[0.155,0.645]

[0.126,0.674]

[0.1,0.7]

[0.076,0.724]

[0.054,0.746]

[0.033,0.767]

[0.013,0.787]

0.45

[0.395,0.505]

[0.328,0.572]

[0.277,0.623]

[0.238,0.662]

[0.205,0.695]

[0.176,0.724]

[0.15,0.75]

[0.126,0.774]

[0.104,0.796]

[0.083,0.817]

[0.063,0.837]

[0.044,0.856]

[0.026,0.874]

[0.008,0.892]

0.5

[0.445,0.555]

[0.378,0.622]

[0.327,0.673]

[0.288,0.712]

[0.255,0.745]

[0.226,0.774]

[0.2,0.8]

[0.176,0.824]

[0.154,0.846]

[0.133,0.867]

[0.113,0.887]

[0.094,0.906]

[0.076,0.924]

[0.058,0.942]

[0.042,0.958]

[0.026,0.974]

[0.01,0.99]

[0,1]

0.55

[0.495,0.605]

[0.428,0.672]

[0.377,0.723]

[0.338,0.762]

[0.305,0.795]

[0.276,0.824]

[0.25,0.85]

[0.226,0.874]

[0.204,0.896]

[0.183,0.917]

[0.163,0.937]

[0.144,0.956]

[0.126,0.974]

[0.108,0.992]

0.6

[0.545,0.655]

[0.478,0.722]

[0.427,0.773]

[0.388,0.812]

[0.355,0.845]

[0.326,0.874]

[0.3,0.9]

[0.276,0.924]

[0.254,0.946]

[0.233,0.967]

[0.213,0.987]

0.65

[0.595,0.705]

[0.528,0.772]

[0.477,0.823]

[0.438,0.862]

[0.405,0.895]

[0.376,0.924]

[0.35,0.95]

[0.326,0.974]

[0.304,0.996]

0.7

[0.645,0.755]

[0.578,0.822]

[0.527,0.873]

[0.488,0.912]

[0.455,0.945]

[0.426,0.974]

[0.4,1]

0.75

[0.695,0.805]

[0.628,0.872]

[0.577,0.923]

[0.538,0.962]

[0.505,0.995]

0.8

[0.745,0.855]

[0.678,0.922]

[0.627,0.973]

0.85

[0.795,0.905]

[0.728,0.972]

0.9

[0.845,0.955]

0.95

0.99