Let x1, x2, x3, …, xn be a random sample from Bernoulli population with parameter p. T is defined as T = begincases 1/3n, & if x1+x2+x3 = 1 0, & otherwise endcases. Then T is unbiased estimator of:

Q26Section I (Objective (Q1–Q80))26 of 80

Statistical Inference — parameter estimated unbiasedly by indicator

Let $x_1, x_2, x_3, …, x_n$ be a random sample from Bernoulli population with parameter $p$ . $T$ is defined as $T = \begin{cases} \frac{1}{3n}, & \text{if } x_1+x_2+x_3 = 1 \ 0, & \text{otherwise} \end{cases}$ . Then $T$ is unbiased estimator of:

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