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For a continuous random variable, Y, prove that the sample variance converges to the population variance as n goes to infinity. Do not use the chi squared distribution in the answer. Chebyshev's i...

For a continuous random variable, Y, prove that the sample variance converges to the population variance as n goes to infinity. Do not use the chi squared distribution in the answer. Chebyshev's inequality and the central limit theorem CAN be used

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Solution: Let S,-Г (Xi-X) 2 By Chebyshevs Inequality, that ESnI → σ2, so I would like to finish this proof by using first Bohope you like it.

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For a continuous random variable, Y, prove that the sample variance converges to the population variance as n goes to infinity. Do not use the chi squared distribution in the answer. Chebyshev's i...
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