Asked by Nitin Channa on May 10, 2024
Verified
An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows larger as the sample size grows larger.
Unbiased Estimator
A statistical estimator that, on average, accurately estimates the parameter of interest.
Sample Size
The number of observations or elements within a sample, crucial for achieving accurate and reliable statistics.
Parameter
A numerical characteristic that describes and summarizes an aspect of a population in statistics.
- Describe the principles of consistency and unbiasedness as they apply to estimators, highlighting their differences.
Verified Answer
MA
Muhorakeye AdelineMay 12, 2024
Final Answer :
False
Explanation :
An unbiased estimator is said to be consistent if the difference between the estimator and the parameter approaches zero as the sample size grows larger, not grows larger.
Learning Objectives
- Describe the principles of consistency and unbiasedness as they apply to estimators, highlighting their differences.