Mathematics · Statistical Inference
Let X1, X2, ..., Xn be a random sample from an exponential distribution with mean θ. Which of the following is NOT a sufficient statistic for θ?
- 1(Xn, X1 + X2 + ... + Xn-1)
- 2XnX1 + X2 + ... + Xn-1✓
- 3X1 + X2 + ... + Xn
- 41X1 + X2 + ... + Xn
Correct answer
XnX1 + X2 + ... + Xn-1
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