STATISTICAL TECHNIQUES-ACCESS ONLY
STATISTICAL TECHNIQUES-ACCESS ONLY
16th Edition
ISBN: 9780077639648
Author: Lind
Publisher: MCG
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Chapter 18, Problem 7E

a.

To determine

Determine the logarithmic trend equation.

b.

To determine

Find the average percentage of increase in sales during the period.

c.

To determine

Compute the estimation of the sales for the year 2016.

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1- Let A = {A1, A2, ...), in which A, A, = 0, when i j. a) Is A a π-system? If not, which element(s) should be added to A to become a π-system? b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such class; prove that F is a σ-filed containing A.) c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you construct a probability measure on σ(A)? (Hint: use extension theorem.) 2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.

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STATISTICAL TECHNIQUES-ACCESS ONLY

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