Estimate a sufficient statistic for a distribution.

Free CAS MAS-I (Modern Actuarial Statistics I) lesson in Statistics. 10 min read, ~1,461 words.

Sufficiency holds when the conditional distribution of the sample given is parameter-free, so retains all information about. Fisher-Neyman factorization: is sufficient for iff the joint density factors as, where does not depend on. Exponential family rule: if, then is sufficient by inspection. One-parameter benchmarks: for Bernoulli, Poisson, Exponential, Geometric, and...

What this lesson covers

• Content
• Example 1
• Example 2
• Common Mistakes
• Check Your Understanding
• Exam Shortcuts

Learning objectives

• B2

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