X is a random variable with moments E[X], E[X^2], E[X^3]. Suppose var(X)= σ^2, skewness is given as S=[E(X-μ)^3)]/(σ^3). Express the right side of the following as in terms of S, σ^2, μ, and μ4, μ4 is just E[X^4]:
E[X-μ]^4 = E(X^4) - 4[E(X)][E(X^3)] + 6[E(X)]^2[E(X^2)] - 3[E(X)]^4 in terms of S, σ^2, μ, and μ4. Can someone help me?
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