What does it mean for an estimator to be consistent?

Expert Solution

Let, be an estimator of with some probability p.

Now, will be a consistent estimator of if with some probability p which means will tend to converge to with some probability p.

Thus, an estimator to be consistent means it will converge to the population parameter i.e with some probability p.

Rahul Sunny answered 2 years ago

What does it mean for a system to be consistent? Is incidence geometry consistent? What does...

What does it mean for a system to be consistent? Is incidence geometry consistent? What does it mean for a system to be complete? Is incidence geometry complete?

If an estimator b is consistent for an unknown parameter β, then plim b = β. Group...

If an estimator b is consistent for an unknown parameter β, then plim b = β. Group of answer choices True False

Show that the sample mean is an efficient estimator of the population mean for a population...

Show that the sample mean is an efficient estimator of the population mean for a population that is: normal distribution (mu, 1), Bernoulli(p), Exponential(theta), and Geometric(p).

Show the sample mean is an efficient estimator of the population mean for a population that...

Show the sample mean is an efficient estimator of the population mean for a population that is: Bernoulli(p), N(μ,1), Geometric(p), and Exp(λ)

1. The point estimator for the population standard deviation σ is _ and the point estimator for the population mean μ is __.

1. The point estimator for the population standard deviation σ is ___ and the point estimator for the population mean μ is ____. 2. To estimate the value of a population parameter using a sample, we would calculate... a) a simple random sample, b) a sample statistic, c) a test statistic, d) or both a and b 3. A simple random sample from a finite data set must meet which condition(s)/requirements? a) you may only sample without replacement; sampling with...

1. In general, the sample mean is a better estimator of the population mean for larger...

1. In general, the sample mean is a better estimator of the population mean for larger sample sizes. True False 2. If events A and B are not mutually exclusive, then it is possible that P( A) + P( B) > 1. True False 3. What method of data collection would you use to collect data for a study where a drug was given to 95 patients and a placebo to another group of 95 patients to determine if the drug has an effect...

Example of the estimator of the mean of X which satisfy the following criteria:

Example of the estimator of the mean of X which satisfy the following criteria: 1. unbiased+consistent 2. bias +consistent 3. unbiased + inconsistent 4. biased + inconsistent 5. most efficient estimator of testing mean of X 6. least efficient estimator of testing mean of X

Question

What does it mean for an estimator to be consistent?

Solutions

Expert Solution

Related Solutions