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In statistics, an efficient estimator is an estimator that estimates the quantity of interest in some "best possible" manner

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10y ago

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The standard deviation of a point estimator is called the?

standard error


Which estimator will consistently have a skewed sampling distribution?

Coefficient of varation


Why is the sample mean an unbiased estimator of the population mean?

The sample mean is an unbiased estimator of the population mean because the average of all the possible sample means of size n is equal to the population mean.


Show that in simple random sampling the sample variance is an unbiased estimator of population variance?

It is a biased estimator. S.R.S leads to a biased sample variance but i.i.d random sampling leads to a unbiased sample variance.


An estimator is consistent if as the sample size decreases the value of the estimator approaches the value of the parameter estimated F?

I believe you want to say, "as the sample size increases" I find this definition on Wikipedia that might help: In statistics, a consistent sequence of estimators is one which converges in probability to the true value of the parameter. Often, the sequence of estimators is indexed by sample size, and so the consistency is as sample size (n) tends to infinity. Often, the term consistent estimator is used, which refers to the whole sequence of estimators, resp. to a formula that is used to obtain a term of the sequence. So, I don't know what you mean by "the value of the parameter estimated F", as I think you mean the "true value of the parameter." A good term for what the estimator is attempting to estimate is the "estimand." You can think of this as a destination, and your estimator is your car. Now, if you all roads lead eventually to your destination, then you have a consistent estimator. But if it is possible that taking one route will make it impossible to get to your destination, no matter how long you drive, then you have an inconsistent estimator. See related links.

Related Questions

What is the best estimator of population mean?

The best point estimator of the population mean would be the sample mean.


What is the correct spelling for estimator?

Estimator is the correct spelling.


What is the uses of ratio estimator?

what is the use and application of ratio estimator?


What is another name for sales estimator?

what is another name for estimator


What is the criteria of a good estimator in econometrics?

Answer this question Critria of good estimator


What are the properties of good estimators?

There are four main properties associated with a "good" estimator. These are: 1) Unbiasedness: the expected value of the estimator (or the mean of the estimator) is simply the figure being estimated. In statistical terms, E(estimate of Y) = Y. 2) Consistency: the estimator converges in probability with the estimated figure. In other words, as the sample size approaches the population size, the estimator gets closer and closer to the estimated. 3) Efficiency: The estimator has a low variance, usually relative to other estimators, which is called relative efficiency. Otherwise, the variance of the estimator is minimized. 4) Robustness: The mean-squared errors of the estimator are minimized relative to other estimators.


Difference between estimate estimator?

I think, the estimate is a numerical value, wile the estimator is a function or operator, which can be generate more estimates according to some factors. For example (xbar) is estimator for (meu), which can be various when the sample size in various, the value that will be produced is an (estimate), but (xbar) is estimator.


Where can I obtain a car payment estimator?

The majority of the major car manufacturers have a car payment estimator on their web sites. Most banking institutions may have this function as well. The payment is just an estimator.


What is the proof that demonstrates the unbiased estimator of variance?

The proof that demonstrates the unbiased estimator of variance involves showing that the expected value of the estimator equals the true variance of the population. This is typically done through mathematical calculations and statistical principles to ensure that the estimator provides an accurate and unbiased estimate of the variance.


Where can one find a building cost calculator or estimator?

One can find a building cost calculator or estimator online at certain websites that provide services in calculation particularly with relevance to a building cost calculator or estimator.


Are free income tax estimators as good as paid estimators?

Yes, a free income tax estimator can be as good as a paid income tax estimator. A tax estimator just allows you to have an estimate of your tax return.


Use a Free Tax Estimator from the IRS?

The best resource to consult for a free tax estimator is the IRS. By going to the website of the IRS, you can be rest assured that a free tax estimator is updated with the latest information. You will get the most accurate tax refund information from a tax estimator created by the IRS. You can also use a free tax estimator from the IRS to anticipate how much money you will owe to the IRS. If you anticipate owing a lot of money to the IRS, then you should definitely use a free tax estimator to figure out the expenses.