Question: Show that the complement Ac of the set A of (pointwise) convergence of a sequence of r.v.s {Xn}, n ( 1, is expressed as follows:

Show that the complement Ac of the set A of (pointwise) convergence of a sequence of r.v.s {Xn}, n ( 1, is expressed as follows: Ac = {(((; limn†’( inf Xn(() ( r

r,s

Step by Step Solution

★★★★★

3.38 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Clearly A lim inf n X n lim sup n X n so that A c lim inf n X n lim sup n X n Thus we have to s... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

742-M-S-P (6815).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Show that set

Let A and B be any two events. Use Venn diagrams to show that (a) The complement of their intersection is the union of their complements: (A B)C = AC BC (b) The complement of their union is the...

Show that if A' is the complement of A. that is, the set of all outcomes in the sample space S that are not in A, then P(Ac) = 1 - P(A).

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...

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

bus system Question 4 Suppose the new memory-reference instruction instead of the AND instruction, listed below. This new instruction subtracts the content of the memory from AC in the basic...

This is a project for my Computer Organization course. I am currently having issues with handling the input. I am getting the following error when I execute the program: "Execution Error: Try to read...

generution computers. One millisecond is equal to nanoseconds. MFLOPS stands for 1 Gbyte is equal to bytes. In burst transfer mode, the complete access to the bus is given to the until the block of...

can someone help me with those questions ? I really need it. Thank you ! The 4-bit register (R) employed in the following logic circuit has two control inputs (SISON This register can perform three...

please write it in assembly language using the instruction set in the first two pictures the above pictures are an explaination on how to add the two floating points using assembly language...

Estimated Year Cash Flows A company is planning to make an investment in the expansion of a manufacturing plant. The amount of the investment is $12 million and the investment is expected to result...

Industry Type 1 Agriculture and Food 2 energetic 3 Construction 4 Chemistry 5 Textile 6 paper 7 steel 8 Engineering 9 Precious metals 10 Services Calculate the output levels of the ten industries. ...

BE12.13 (LO 2, 3) Buchanan Company recently was sued by a competitor for patent infringement. Attorneys have determined that it is probable that Buchanan will lose the case and that a reasonable...

Small firms are just little big firms. Discuss and justify your view.

A contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots are on one side of the street and 3 lots are on the opposite side?

(a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6, if each digit can be used only once? (b) How many of these are odd numbers? (c) How many are greater than 330?

In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

Suppose you just bought a 25-year annuity of $6,900 per year at the current interest rate of 9 percent per year. What is the value of your annuity today? (Do not round intermediate calculations and...

QUESTION 6 Corporation A currently has an enterprise value of $350,773,387 and $78,123,329 in excess cash. Thefi rm has 12,314,465 shares outstanding and no debt. Suppose thefirm uses its excess cash...

Please answer using excel Bad Bunny has a 14 year bond with 4% coupon paid semi-annually. Face value of $1,000. YTM is 3%. What is the Macaulay Duration on his bond? Question 7 3 pts Karol G also has...