Show that there exist a random vector ((U, V)) such that (U) and (V) are one-dimensional Gaussian
Question:
Show that there exist a random vector \((U, V)\) such that \(U\) and \(V\) are one-dimensional Gaussian random variables but \((U, V)\) is not Gaussian.
Try \(f(u, v)=g(u) g(v)(1-\sin u \sin v)\) where \(g(u)=(2 \pi)^{-1 / 2} e^{-u^{2} / 2}\).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
Answered By
Keziah Thiga
I am a self motivated financial professional knowledgeable in; preparation of financial reports, reconciling and managing accounts, maintaining cash flows, budgets, among other financial reports. I possess strong analytical skills with high attention to detail and accuracy. I am able to act quickly and effectively when dealing with challenging situations. I have the ability to form positive relationships with colleagues and I believe that team work is great key to performance. I always deliver quality, detailed, original (0% plagirism), well-researched and critically analyzed papers.
4.90+
1504+ Reviews
2898+ Question Solved
Related Book For
Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook
ISBN: 9783110741254
3rd Edition
Authors: René L. Schilling, Björn Böttcher
Question Posted:
Students also viewed these Business questions
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...
-
Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...
-
Sulfur trioxide reacts with water to form sulfuric acid, a major contributor to acid rain. One origin of SO 3 is the combustion of sulfur, which is present in small quantities in coal, according to...
-
Most of the glare from nonmetallic surfaces is polarized, with the axis of polarization parallel to the axis of the reflecting surface. Would you expect the polarization axis of Polaroid sunglasses...
-
How might organizations in different cultures go about trying to enhance leadership capabilities?
-
As the senior auditor on the audit of the Elles Company for the year ending December 31, you discover the following errors in cash working papers prepared by your assistants: 1. Compensating bank...
-
Ripley Company was organized on January 1. During the first year of operations, the following plant asset expenditures and receipts were recorded in random order. Debits 1. Cost of filling and...
-
what extent do employees perceive the costs and benefits associated with leaving the organization, and how does this perception influence their willingness to stay ?
-
Let \(G \sim \mathrm{N}(m, C)\) be a \(d\)-dimensional Gaussian random vector and \(A \in \mathbb{R}^{d \times d}\). Show that \(A G \sim \mathrm{N}\left(A m, A C A^{\top}ight)\).
-
Let \((\Omega, \mathscr{A}, \mathbb{P})\) be a probability space. The completion \(\left(\Omega, \mathscr{A}^{\prime}, \mathbb{P}^{\prime}ight)\) is the smallest extension such that...
-
Devon Automotive estimates that it takes the company about 62 days to collect cash from customers on finished goods from the day it receives raw materials, and it takes about 65 days to pay its...
-
A VA medical center requires services for resurfacing the primary access road. They have stated the materials for the repair are petroleum-based and are concerned since oil prices are now at $4 a...
-
A French hotel operator which manages only hotels devoted to the MICE sector ( M eetings, I ncentives, C onventions, E xhibitions) let in August 2017 (term 2029) a 5-star hotel very close to...
-
According to the South African Rental Housing Act, 50 of 1990 (as amended by the Rental Housing Act 35 of 2014) answer the following questions below: Whose responsibility is it to promote rental...
-
The rate of homicides in Minneapolis MN, Chicago IL, How robberies affect victims The rate of date raping nationwide What are the most successful preventative approaches for DUIsearch design is...
-
Mr. Max Kassitta, married to Marta Kassitta with two children, had two Insurance policies, one a "life policy" with OMS Mutual (valued at N$ 850 000) and the other a "work accident insurance" with...
-
A 2 m by 2 m flat plate solar collector for domestic hot water heating is shown schematically in the sketch. Solar radiation at a rate of 750 W/m2 is incident on the glass cover which transmits 90%...
-
Place a tick in the appropriate grid to identify the balance that would be brought down in each of the following named accounts, in the books of Rizwy Mohamed: (a) In the Cash account: if Rizwy...
-
Hickory, dickory, dock, The mouse ran up the clock. The clock struck one, The mouse ran down, Hickory, dickory, dock. Suppose a word is chosen at random from this famous nursery rhyme. Write the...
-
(a) Which distribution below would you call symmetric, and which skewed? (b)Rigorously speaking, the distribution of a discrete r.v. X is said to be symmetric if for a number s called a center of...
-
You draw two cards from a deck. If they are of different color, you win nothing. If both are black, you win $5. If both are red, you win $10, and additional $15 if the two cards are a red ace and...
-
Consider a particle prepared in the normalized angular momentum state 2 2i 19) = 11|11) - 7 11 0 ) + 2/10 (22) + 10 10 =|10) 10 i =|20). 10 (a) You measure L on the particle. What are the possible...
-
As we drill down into the rocks of Earth's crust, the temperature typically increases by 3.0 C for every 100 m of depth. Oil wells can be drilled to depths of 1790 m. If water is pumped into the...
-
17. Given an aluminum wire conductor (power line for example): po=2.63E-8 (Nm) @ To=0C and = 4.4E-3 (deg). What is the percentage increase in resistance between 68F and 120F (A very hot afternoon in...
Study smarter with the SolutionInn App