Real Analysis - Homework solutions
نویسنده
چکیده
1.1 (a) Rings (resp. σ-rings) are closed under finite (resp. countable) intersections. (b) If R is a ring (resp. σ-ring) then R is an algebra (resp. σ-algebra) iff X ∈ R. (c) If R is a (nonempty) σ-ring then {E ⊂ X : E ∈ R or E ∈ R} is a σ-algebra. (d) If R is a σ-ring, then {E ⊂ X : E ∩ F ∈ R for all F ∈ R} is a σ-algebra. Solution: (a) If R is a ring and E1, E2 ∈ R, then since R is closed under differences, E1 − (E1 − E2) ∈ R. But
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Outlines of Solutions to Selected Homework Problems
This handout contains solutions and hints to solutions for many of the STA 6505 homework exercises from Categorical Data Analysis, second edition, by Alan Agresti (John Wiley, & Sons, 2002). It should not be distributed elsewhere without permission of the author. Additional solutions for odd-numbered exercises are available at the website for the text, http://www.stat.ufl.edu/∼aa/cda/cda.html. ...
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