Mathematics · Mathematical Statistics

Let X 1 , X 2 , ..., X n be i.i.d. random variables with the common probability density function (pdf) f(x | θ) = θ x θ+1 , for x > 1, where θ > 1 is an unknown parameter. Which of the following estimators of θ is consistent?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

n ∑ i=1 n log(X i )

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Chapter Practice

Want more practice questions on Mathematical Statistics?

Solve complete topic-wise tests with detailed solutions on GkGet.

Recommended practice questions in Mathematics · Mathematical Statistics

Mahatma Gandhi's last fast unto death in 1948 was primarily against which of the following?

What was the primary meaning of 'Swaraj' as popularized by Mahatma Gandhi during India's independence movement?

What was one major impact of India’s independence on its economy?

Let X 1 , X 2 , ..., X n be i.i.d. random variables with the common probability density function (pdf) f(x | &theta;) = &theta; x &theta;+1 , for x > 1, where &theta; > 1 is an unknown parameter. Which of the following estimators of &theta; is consistent?