Point Estimation

Point Estimation: So far we know that when the constants of a population (the parameters) are unknown, we estimate them by finding estimates based on the samples drawn from the same population. This method is called “estimation”.

Now, since we are estimating the parameters so there must be two types of possibility:

POINT ESTIMATION

With the help of sample observations, we obtain a single/particular value for estimating the parameter i.e. single estimated value of the parameter (say θ), it is called point estimate or simply estimates. This method of estimation is known as point estimation.

In other words, the point estimate is our best guess of the true value of the parameter. It should be kept in mind that in order to find a point estimate to be so accurate, the sample size should be large.
E.g.

TYPES OF POINT ESTIMATORS:

There are a variety of point estimators each possesses different properties, most commonly are:
          1) Minimum variance unbiased estimator (MVUE)
          2) Best linear unbiased estimator (BLUE)
          3) Minimum mean squared error estimator (MMSE)
          4) Maximum likelihood estimator (MLE)
          5) Method of moments

USES OF POINT ESTIMATION:

  1. Point estimates are often used as part of other statistical calculations, like a point estimate of standard deviation is used in the calculation of confidence interval for µ.
  2. Point estimates play an important role in formulas of significance testing.

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