It often happens that an estimator does not satisfy one or more of the desirable statistical properties in small samples. But as the sample size increases indefinitely, the estimator possesses several desirable statistical properties. These properties are known as the large-sample, or asymptotic, properties.
Asymptotic Unbiasedness. An estimator 0 is said to be an asymptotically unbiased estimator of 0 if lim E(0n) = 0
where 0n means that the estimator is based on a sample size of n and where lim means limit and n ^to means that n increases indefinitely. In words, 0 is an asymptotically unbiased estimator of 0 if its expected, or mean, value approaches the true value as the sample size gets larger and larger. As an example, consider the following measure of the sample variance of a random variable X:
Was this article helpful?
Learning About The Rules Of The Rich And Wealthy Can Have Amazing Benefits For Your Life And Success. Discover the hidden rules and beat the rich at their own game. The general population has a love / hate kinship with riches. They resent those who have it, but spend their total lives attempting to get it for themselves. The reason an immense majority of individuals never accumulate a substantial savings is because they don't comprehend the nature of money or how it works.