Estimate the mean and variance given a sample.
Free CAS MAS-I (Modern Actuarial Statistics I) lesson in Statistics. 9 min read, ~1,406 words.
Sample mean is unbiased:, with variance. Sample variance. The denominator is what makes. Standard error of the mean:. Use this, not, in confidence intervals for. Bessel's correction matters. Dividing by underestimates by a factor of. Sample standard deviation is biased even though is unbiased. Square roots break unbiasedness.
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What this lesson covers
- Content
- Example 1
- Example 2
- Common Mistakes
- Key Takeaways
- Exam Shortcuts
Learning objectives
- B1
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