Question: 1.4. Let {Xn, n EN} be an arbitrary stochastic process and let~' be as in Sec. 8.1. Prove that the remote field IS almost trIvIal

1.4. Let {Xn, n EN} be an arbitrary stochastic process and let~' be as in Sec. 8.1. Prove that the remote field IS almost trIvIal If and only If for each A E ::000 we have lim sup IP(AM) -P(A)9(M)1 = o.

n-+ooME~'

[HINT: Consider f!l>(A I ~n') and apply 9.4.8. This is due to Blackwell and Freedman.]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Elementary Probability For Applications Questions!

s1 educated (SSE) student for every three public school educated (PSE) students. Reasoning that students are not very dissimilar from threads, he suggests the following entry and exit routines be...

Priority reversal can happen when strings of varying needs synchronize on admittance to normal assets - strings of more prominent need might wind up looking out for strings of lesser need, prompting...

Math 104A Homework #3 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

The Basics of Financial Mathematics Spring 2003 Richard F. Bass Department of Mathematics University of Connecticut c These notes are 2003 by Richard Bass. They may be used for personal use or class...

Chapter 5 Discrete Markov process Suppose we have a sequence of random variables, {X0 , X1 , . . .} = {Xn } , which is also n=0 called a stochastic process. In this chapter, we study a commonly used...

Please write a summary for the case discussion "Janmar Coating". Your summary should include the following elements: 1. What are the marketing strategic options or alternatives? 2. Evaluation of each...

Find attached Ingredients: Water, MCC, Salt, Nicotine, pH regulator, sweeteners and flavours I am wondering why the decision to go with LYFT. I understand migrating to LYFT would be easier from sells...

please take time and please read this book pages very carefully and write a summary what did you understand and your own analysis please write it please don't copy internet and other sources it's a...

Assume you decide you should invest at least part of your money in large-capitalization stocks of companies based in the United States. What are the advantages and disadvantages of choosing the...

(a) Find the transfer function Eo(s)/E;(s) for the circuit shown. e(t) L oooo C R R e(t)

A financial statement analysis tool that combines return on equity into three components: Profit margin, total asset turnover, and equity multiplier. Group of answer choices Common size analysis...

Whole Nature Foods sells a gluten-free product for which the annual demand is 5,000 boxes. At the moment, it is paying $6.40 for each box; carrying cost is 25% of the unit cost; ordering costs are...