Use the result that ∫ ℮-a(2)x(2)dx=√∏∕a and √∏=√⅟2
And change of variables techniques to derive the chi-square distribution

Question

Use the result that     ∫ ℮-a(2)x(2)dx=√∏∕a       and √∏=√⅟2
And change of variables techniques to derive the chi-square distribution

unklerhaukus · Answer

Have i got this equation right?$$\int\limits_0^x e^{-a^2x^2}\text dx=\sqrt{\frac\pi a}$$
the second one cant be right$$\sqrt\pi\neq\sqrt\frac 12$$

anonymous · Answer

Yes Unkle that's the equation.

unklerhaukus · Answer

how can the square root of pi be the square root of 1/2
pi is not 1/2?
am i missing something?

anonymous · Answer

please Unkle do you see anyway to handle it?

unklerhaukus · Answer

i was kinda hoping that was typo,

the chi-square distribution is the same as the normal or gaussian distribution right?

unklerhaukus · Answer

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