Estimator

What Estimator is

An estimator is a mathematical tool used to calculate an estimate of a population parameter from a sample of data. Estimators are used to make inferences about a population, such as its mean or variance, based on a sample drawn from the population.

Steps for Estimator:

1. Collect a sample of size n from the population of interest.
2. Calculate the sample statistic.
3. Use the sample statistic to calculate the estimator.
4. Calculate the confidence interval around the estimator.
5. Interpret the results of the estimator and the confidence interval.

Examples

1. Estimators are used to estimate the population mean or population variance from a sample.
2. Estimators are used to calculate the probability of an event occurring, based on the data collected from a sample.
3. Estimators can be used to estimate the correlation between two variables, based on a sample.
4. Estimators are used to estimate the coefficient of determination (R-squared) from a regression model.
5. Estimators are used to estimate the regression coefficients of a linear model.
6. Estimators are used to estimate the probability density function (PDF) of a given data set.

Related Topics

• LINEAR

• MEAN

• PROBABILITY

• CORRELATION

• POPULATION

• VARIANCE

• PARAMETER

• DENSITY

• REGRESSION

• EVENT

• SAMPLE

• STATISTIC