Prove Theorem 2 7 (Tchebysheff) That is, prove that if (X ) is a random variable such that (E(X) mu ) and (V(X) sigma 2 delta) leq ) ( delta 2 sigma 2 ) Theorem 2 7 (Tchebysheff) Consider a random variable X with E(X) p and V(X) 02 Then P(X d) 8 ...

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Prove Theorem 2.7 (Tchebysheff). That is, prove that if (X) is a random variable such that (E(X)=mu)

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Prove Theorem 2.7 (Tchebysheff). That is, prove that if $X$ is a random variable such that $E(X)=\mu$ and $V(X)=\sigma^{2}\delta) \leq$ $\delta^{-2} \sigma^{2}$.

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Introduction To Statistical Limit Theory

ISBN: 9780367383138

1st Edition

Authors: Alan M. Polansky

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Question Posted: Mar 15, 2024 02:01 AM

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Prove Theorem 2.7 (Tchebysheff). That is, prove that if (X) is a random variable such that (E(X)=mu)

Question:

Theorem 2.7 (Tchebysheff). Consider a random variable X with E(X) = p and V(X)=02 < . Then P(X - | > d) 8-.

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Introduction To Statistical Limit Theory

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