Asked by Halel Fleming on Jun 19, 2024
Verified
An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows smaller as the sample size grows larger.
Unbiased Estimator
An unbiased estimator is a statistic that, on average, accurately represents the parameter of interest in the population.
Sample Size
Sample Size refers to the number of observations or individuals in a subset of a population used for statistical analysis.
Parameter
A characteristic or constant factor that defines or limits a system; in statistics, it is a numerical attribute of a population.
- Recognize the importance of sample size in the accuracy of estimators.
- Define and differentiate between consistency and unbiasedness of estimators.
Verified Answer
MD
Michael DeboodtJun 20, 2024
Final Answer :
True
Explanation :
This statement accurately describes the concept of consistency for an estimator. Consistency means that as the sample size increases, the estimator becomes increasingly accurate, and the difference between the estimated value and the true value of the parameter approaches zero. This is an important property for an estimator to have, as it ensures that with enough data, the estimator will converge on the true value of the parameter.
Learning Objectives
- Recognize the importance of sample size in the accuracy of estimators.
- Define and differentiate between consistency and unbiasedness of estimators.