Fundamentals of Probability and Statistics for Engineers

(John Hannent) #1
Beta Extreme values:(a) Type-I max(b) Type-I min(c) Type-II max(d) Type-III min

Some Important Continuous Distributions 237


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fY

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exp

f

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y



u)



exp [

^

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u)]

g,

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y

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u

u
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(^2)  6
2
fZ
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exp
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exp [
"z

u)]
g,
1
<
z
<
1
>
0,
u
u

,
(^2)  6
2
fY
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k v
v y


1 exp

y v

k

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v



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k


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v
1

1 k

,
(^2) v

1

2 k


(^2) 
1

1 k


fZ
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k
w

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z

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w

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k
1 
exp

z

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w

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k

,
z

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w
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‡
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w

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(^2) 
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