A Example 6-3. If I, (p, q) represents the incomplete Beta function defined by : 1 I, (p, q) B(p, e (1 – t)+1 dt ; p > 0, q > 0 %3D B(p, q) J o show that the distribution function F(.) of Student's t-distribution is given by : F(t) = 1-4(5), where x = =(1+4)". where x = ( 1+

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A Example 6-3. If l, (p, q) represents the incomplete Beta function defined by :
I (p, q)
1 – t)4-1 dt ; p> 0, q > 0
. (*)
B(p, q) J o
show that the distribution function F(.) of Student's t-distribution is given by :
F(t) = 1-;1_( 4.5), where x = ( 1+
where x = (1+ )*.
F(t) = 1–
Transcribed Image Text:A Example 6-3. If l, (p, q) represents the incomplete Beta function defined by : I (p, q) 1 – t)4-1 dt ; p> 0, q > 0 . (*) B(p, q) J o show that the distribution function F(.) of Student's t-distribution is given by : F(t) = 1-;1_( 4.5), where x = ( 1+ where x = (1+ )*. F(t) = 1–
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