Teaching CSIR NET Mock Test Series Mathematical Science Statistics & Exploratory Data Analysis Random Variables & Distribution Functions
Let {Yj: 1 ≤ j ≤ 2m} be independently and identically distributed normal random variables with mean λ and variance 1, and independent of a standard Cauchy random variable Z. Which of the following statistics are consistent for λ?
1
Z
2
Y1
3
\(\sum_{j=1}^{2m} Y_j \)
4
\(\frac{1}{2m} \sum_{j=1}^{2m} Y_j \)