Estimation

What Estimation is

Estimation is a statistical process used to draw conclusions from a sample data set about a larger population of interest. Estimation involves the use of sample data to calculate estimates of population parameters such as means, proportions, and variances.

The steps for estimation include:

  1. Define the population of interest and the parameters that you would like to estimate.

  2. Select a sample of the population and collect the data.

  3. Calculate the sample statistics.

  4. Calculate the point estimate of the parameter.

  5. Calculate a confidence interval around the point estimate.

  6. Interpret the results of the estimation.

Examples

  1. Estimating the population mean from a sample of data.
  2. Estimating the standard deviation of a population from a sample.
  3. Estimating the probability of an event from sample data.
  4. Estimating the regression coefficients from a regression model.
  5. Estimating the probability density function of a random variable from a sample.
  6. Estimating the reliability of a product from a sample of test results.
  7. Estimating the mean of a population from a confidence interval.
  8. Estimating the parameters of a distribution from a sample of data.

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