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Q30Section I (Objective (Q1–Q80))30 of 79

Statistical Inference — OC function of SPRT at H0

In SPRT, to test H0=X∼f(x,θ0)H_0=X\sim f(x,\theta_0) versus H1=X∼f(x,θ1)H_1=X\sim f(x,\theta_1), Z is defined as Z=log⁡{f(x,θ1)f(x,θ0)}Z=\log\left\{\frac{f(x,\theta_1)}{f(x,\theta_0)}\right\} and h(θ)h(\theta) is non-zero solution of the equation E(ezh(θ))=1E(e^{zh(\theta)})=1. Under H0H_0, the OC function L(θ)L(\theta) becomes:

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