Let X n Uniform(0, 1/n). Show that X n Lr 0, for any r

Question:

Let X_n ∼ Uniform(0, 1/n). Show that X_n ^Lr→ 0, for any r ≥ 1.

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

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Probability Statistics And Random Processes

ISBN: 9780990637202

1st Edition

Authors: Hossein Pishro-Nik

See More Books

Question Posted: Oct 27, 2023 02:35 AM

See More Questions

Let S be a nonempty subset of a linear space, and let m = dim S = dim aff S. Suppose that x belongs to conv S so that there exist x1, x2, . . . , xn S and a1, a2, . . . , an R+ with a1,......,...
A 0 . 7 5 - m x 1 . 5 - m window is constr cted of 6 - mm - thick glass. On a cold night, the inside and outside surface temperatures of the glass are 1 6 deg C and - 2 4 deg C , respectively. ( a )...
Let X1,..., Xn be a set of independent random variables with a U(0, Î¸) distribution, and let T = max{X1,..., Xn} (a) Explain why the cumulative distribution function of T is F(t) =...
Describe An Analysis of the relationship between Employee Engagement, Satisfaction, and Organizational Performance at Enterprise Mobility
On January 1, 2009 McDonald Inc. issued $7 million in face value of bonds that mature in 20 years and pay a 8% interest coupon annually on December 31. The market rate of interest for similar bonds...
Suppose IBM signed a contract to buy a supply of computer chips from a German firm. The price is 10 million euros, and the chips will be delivered immediately, but IBM can delay payment for six...
LO3 Explain why the following statement is not necessarily true: If the IRS disagrees, Ill take my case all the way to the Supreme Court.
At January 1, 2010, Beatty Company had plan assets of $280,000 and a projected benefit obligation of the same amount. During 2010, service cost was $27,500, the settlement rate was 10%, actual and...
a. Use the following information from separate companies a through f. Net Income (Loss) Interest Expense Income Taxes $122,000 $ 70,760 $30,500 b. 116,600 36,146 41,976 125,100 7,506 60,048 d....
Consider a sequence {X n ,n = 1, 2, 3,} such that Show that a. X n p 0. b. X n does not converge in the rth mean for any r 1. Xn = n 0 with probability with probability 1 - n
Consider a sequence {X n ,n = 1, 2, 3,} such that Show that Xn = n 0 with probability n2 with probability 1 1 n
Gull clutch size. Large black-tailed gulls usually lay one to three eggs, and rarely have a fourth egg clutch. It is thought that clutch sizes are effectively limited by how effectively parents can...
How do we design a drone?
What are the different types of drones?
What are the applications of drones?
What are the various protocols in telecom domain?
What are the various types of routing protocols?
Explain how the joints between vertebrae permit movement.
White Bolder Investments (WBI) You are an intern working for WBI, a large investment advisory services in Sydney. Among other regular customers, WBI has been providing advisory services for Jumbo...
How does the nature of the product relate to the degree of market exposure desired?
Why would intermediaries want to be exclusive distributors for a product? Why would producers want exclusive distribution? Would intermediaries be equally anxious to get exclusive distribution for...
Explain the present legal status of exclusive distribution. Describe a situation where exclusive distribution is almost sure to be legal. Describe the nature and size of competitors and the industry,...
One of the purposes of bank reconciliation is to ensure that company's most important asset cash is being properly accounted for and maintained in the company's books.
The Federal income tax law allows a taxpayer to claim a deduction for state and local income taxes but limits all state taxes to a maximum of $10,000. TRUE OR FALSE
A static budget is a different term for the master budget. This statement is Multiple Choice O O true. false

Let X n Uniform(0, 1/n). Show that X n Lr 0, for any r

Question:

Step by Step Answer:

The PDF of X n is gi...View the full answer

Introduction To Probability Statistics And Random Processes

Students also viewed these Business questions