Question

Which among the following is a collection of subsets of a set that is closed under complement and closed under countable union?

a.

Sigma algebra

b.

Algebra

c.

Delta algebra

d.

Whole set

Posted under Cognitive Radio

Answer: (a).Sigma algebra Explanation:Sigma algebra on a set is a collection of subsets of a set that is closed under complement and closed under countable union. It is also known as measurable space. It is employed in hypothesis management to combine the amount of belief attached to each event as a function of the values allotted to the probability of each event.

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Q. Which among the following is a collection of subsets of a set that is closed under complement and closed under countable union?

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