Calculate order statistics of a sample.
Free CAS MAS-I (Modern Actuarial Statistics I) lesson in Statistics. 11 min read, ~1,642 words.
Order statistics are the sorted sample; is the minimum, the maximum. CDF method:; the max has CDF and the min has CDF. Density:; the trailing is mandatory. Uniform(0,1): with mean; the probability-integral transform extends this to any continuous. Min of iid exponentials at rate is exponential at rate, mean.
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What this lesson covers
- Content
- Example 1
- Example 2
- Common Mistakes
- Check Your Understanding
- Exam Shortcuts
Learning objectives
- B7
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