If the r.v. X is integrable, then show that: By a counterexample, show that the converse need

Question:

If the r.v. X is integrable, then show that:

By a counterexample, show that the converse need not be true.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

An Introduction to Measure Theoretic Probability

ISBN: 978-0128000427

2nd edition

Authors: George G. Roussas

See More Books

Question Posted: Mar 25, 2016 03:25 AM

See More Questions

If the r.v. X is integrable, then B X is finite a.s?
If X is a r.v. defined on the measurable space ((, A), then |X| is also a r.v. By an example, show that the converse need not be true.
For n = 1, 2,¦, suppose that X n and X are r.v.s defined on the probability space (W, A , P ), and suppose that And { X n } are uniformly integrable. Then show that Uniformly in A Ã A ....
In Exercises show that the two formulas are equivalent. tan x dx = - In cos x + C tan x dx = In|sec x] + C
Which of the following responses to an accounts receivable confirmation at December 31 would cause an audit team the most concern? a. This amount was paid on December 30. b. We received this...
What conditions must n satisfy to make the x 2 test valid?
A SIF uses a single, pneumatic, final element assembly consisting of a 3/2 pilot-operated poppet solenoid valve, a spring-return pneumatic piston actuator, and a floating ball valve. The application...
Norell Inc. experienced the following accounting events during its 2016 accounting period: 1. Recognized revenue on account. 2. Issued common stock. 3. Paid cash to purchase supplies. 4. Collected a...
Newton's Universal Law of Gravity (NULG) A) Discuss Newton's Universal Law of Gravity (NULG). a. What is required for there to be gravity? b. On what does gravity depend? c. What is the difference,...
On January 1, 5G Co. reported current assets of $72,000 and current liabilities of $60,000. Compute total current assets, total current liabilities, and the current ratio at January 1 and after each...
Let X and Y be r.v.s with finite second moments, and set e X = Î¼ 1 , eY = Î¼ 2 , 0 < Var( X ) = Ï 2 1 , 0 < Var(Y) = Ï 2 2 . Then covariance and the correlation...
If X is a simple r.v. (not necessarily nonnegative), defined on the (product) space ((1 ( (2, A1 ( A2, ( = 1 ( 2) with 1 and 2 -finite, for which ( Xd ( exists, then show directly that ((( X ((1, (2)...
Which of the following kingdoms or domains is a hodgepodge of different evolutionary lineages? A. Bacteria; B. Protista; C. Archaea; D. Plantae; E. Animalia
Describe how societys view of cohabitation has changed over the past three decades.
What are different classes of cast iron? What are their properties and applications?
Describe five of the ways in which the nature of family law practice has changed over the past fifty years.
Create common-sized balance sheets for each.
Describe the role of the paralegal in the various stages of the divorce process.
You are given the following payoff table (in units of thousands of dollars) for a decision analysis problem without probabilities a. Which alternative should be chosen under the maximax criterion? b....
Interest Compounded Annually. When P dollars is invested at interest rate i, compounded annually, for t years, the investment grows to A dollars, where A = P(1 + i) t . Trevor's parents deposit $7800...
There is a 50-50 chance that the queen carries the gene of hemophilia. If she is a carrier, then each prince has a 50-50 chance of having hemophilia independently. If the queen is not a carrier, the...
What is the probability that no two students will have the same birth date in a size of 60 classes?
Hamilton County judges try thousands of cases per year. In an overwhelming majority of the cases disposed, the verdict stands as rendered. However, some cases are appealed, and of those appealed,...
Superior Micro Products uses the weighted - average method in its process costing system. Data for the Assembly Department for May appear below: Materials Labor Overhead Work in process, May 1 $ 1 9...
Vista Distributors purchases inventory in crates of merchandise. Assume the company began July with an inventory of 30 units that cost $300 each. During the month, the company purchased and sold...
Blue Company changed depreciation methods in 2025 from double-declining balance to straight-line. Depreciation prior to 2025 under double-declining-balance was 592,400, whereas straight-line...

If the r.v. X is integrable, then show that: By a counterexample, show that the converse need

Question:

п Р(X] > п) —0.

Step by Step Answer:

Indeed However 0 XI Xn X independent of n and integrable and XI Xn n 0 Then by part iii of the Fatou...View the full answer

An Introduction to Measure Theoretic Probability

Students also viewed these Statistics questions