Parameters

Probability DensityFunction

β

1

β2

λ>0

2.0

9.0

x=s

Expected Value

Variance

1
λ

1
λ2

{λ- λxe;x≥0= 0 elsewhere

=

f (x)

(eσ2-1)12(eσ2+2)

e2μ +2
σ(eσ2

-1)

β

1

β2

-∞ <μ<∞;
σ>0

f(x)=1σx2π

x≥0

,

*

Parameters

Probability Density Function

Expected Value

Variance

exp-1? 2σ2
? (logx-μ)

2

*ß= 3+ (w - 1)(w3+ 3w2+ 6w + 6);w = eσ2
2

eu+12σ2

(μ1- μ0)2
12

μ0<μ1

,where
1

f(x)=1?
μ1-μ
? ,μ0
0

?

≤x≤μ1

β

1

β2

0

elsewhere

μ0+μ1
2

0

1.8

f(x)

x

0

μ0

μ
1

Parameters

Probability Density Function

Mean

Variance

μ0,μ