Mathematics · Mathematical Statistics
Let X 1 , X 2 , ..., X n be i.i.d. random variables with the common probability mass function p(x|θ) = θ x (1 - θ) 1-x , where x = 0 or 1, and 0 ≤ θ ≤ 1 2 . Then, which of the following statements is true?
- 1The MLE of θ is min { 1 n ∑ i=1 n X i , 1 2 }✓
- 2The method of moments estimator of θ is min 1 ≤ i ≤ n X i
- 3The MLE of θ is min 1 ≤ i ≤ n X i
- 4The method of moments estimator of θ is 1 2n ∑ i=1 n X i
Correct answer
The MLE of θ is min { 1 n ∑ i=1 n X i , 1 2 }
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Want more practice questions on Mathematical Statistics?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Mathematical Statistics