Use the delta method of the previous exercise to show that if N(vN ) L

Question:

Use the delta method of the previous exercise to show that if

N(vN − θ) L

→ N

0, Σ(θ)


, then for any r × q matrix A,

N(AvN − Aθ) L

→ N

0, AΣ(θ)A


.

Show that if Cov(√

NvN ) = Σ(θ), then Cov(√

NAvN ) = AΣ(θ)A

.

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