Random Signals and Noise For Engineers by Shertukde Hemchandra M

Author:Shertukde, Hemchandra M. [Shertukde, Hemchandra M.]
Language: eng
Format: epub
Publisher: Sentia Publishing
Published: 2016-11-07T16:00:00+00:00

Then Sample mean is the average of these numerical values that make up the entire sample chosen and is given by:

If we now take arbitrary random samples and describe their statistical properties, then the sample mean in Equation (4.2) is a rv, as do all the members of the sample.

4.1.1 Estimate of the Sample Mean

Thus the estimate of the sample mean is given by:

Where, X i are rvs from the population with a given pdf f(x). In addition,

is the true mean value of the population and the sample mean value in Equation (4.3) is expected to be close to it. Which enables here to use the probabilistic operator called the Expectation Operator i.e. ‘E’. Thus

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