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A complete statistic T (in some statistical model) is such that for all functions g, if E g(T)=0 for all parameter values, then g is identically zero.

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Consider $f_θ(x) = \exp(θ − x)\, \mathbb{I}_{x>θ}$ show that $\inf(X)$ is complete and suffi...

Consider a sequence of variable defined with the following density $$ f_θ(x) = \exp(θ − x)\ \mathbb{I}_{x>θ} $$ What is the ML estimate? Show that some statistics of the indicator fun …
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