# Estimation (ISS (Statistical Services) Statistics Paper II (Old Subjective Pattern)): Questions 14 - 14 of 14

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## Question number: 14

» Estimation » Optimal Properties » Complete Statistics

Appeared in Year: 2015

### Describe in Detail

Let X _{1}, X _{2}, … X _{n } be a random sample from the binomial distribution with probability mass function

Examine whether the statistic is complete for this distribution.

### Explanation

We know that is sufficient statistic for this distribution. Then,

The definition of completeness is

Assume is free from and

This equation is true iff

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