Probability Theory and Mathematical Statistics Study Notes - Lecture 39 - Statistics, Commonly Used Statistics

 

1. Samples can already provide important information (such as average value) or unimportant information (such as sample serial number)

 

2. Construct statistics - extract useful information from the sample to study the distribution of the population

 

3. Commonly used statistics (sample mean, sample variance, sample standard deviation, k-order moment, k-order central moment)

 

4. The sample mean is not equal to the overall expectation (the sample mean is a random variable that depends on the sample value)

 

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