X; 8) (o, elsewhere i) Show whether or not >, is a consistent estimator of the parameter 1.

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1c.STATISTICAL INFERENCE

Let X₁, X₂,..., Xn be a random sample of size n from population X. Suppose that X has the
following probability mass function:
f(x; 0) = {0(1
(0 (1 - 0)x-1,
x = 1,2,3,...
elsewhere
i) Show whether or not >, is a consistent estimator of the parameter 11.
Transcribed Image Text:Let X₁, X₂,..., Xn be a random sample of size n from population X. Suppose that X has the following probability mass function: f(x; 0) = {0(1 (0 (1 - 0)x-1, x = 1,2,3,... elsewhere i) Show whether or not >, is a consistent estimator of the parameter 11.
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