Obtain a confidence set for ? with confidence coefficient

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Let X1, ..., Xn be i.i.d. from N(µ, σ2).

(a) Suppose that σ2 = γµ2 with unknown γ > 0 and µ ∈ R. Obtain a confidence set for γ with confidence coefficient 1 - α by inverting the acceptance regions of LR tests for H0; γ = γ0 versus H1; γ ≠ γ0.

(b) Repeat (a) when σ2 = γµ with unknown γ > 0 and µ > 0.

Reference no: EM131852108

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