Suppose, under Pn, Xn = Yn + 0P (1), that is, Xn - Yn →0 in Pn-probability. Suppose Qn is contiguous to Pn. Show that X = Yn+oQn (1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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Suppose, under Pn, Xn = Yn + op, (1), that is, Xn - Yn 0 in Pn-probability. Suppose Qn
is contiguous to Pn. Show that Xn = Yn + oQ, (1).
Transcribed Image Text:Suppose, under Pn, Xn = Yn + op, (1), that is, Xn - Yn 0 in Pn-probability. Suppose Qn is contiguous to Pn. Show that Xn = Yn + oQ, (1).
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