For solving a two-parameter problem with parameters X and Y, the following equa- tion can be...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
For solving a two-parameter problem with parameters X and Y, the following equa- tion can be defined: with Q(X,Y)= (X-Xo Y - Yo) A = 0² L əx² " B = 0² L ƏY2 - Xo (A 8) ( X = X ) Y - Yo " 8² L 0XOY Xo, Yo Xo, Yo Xo, Yo (Xo, Yo) is the most probable value for the joined posterior of parameters X and Y, and L is the logarithmic joined posterior probability function. In general, the iso- contours of Q at k (k = Q(X,Y)) trace an ellipse. Specify the following properties of this ellipse: the ellipse's centre; the magnitude of the axes and the orientation of the ellipse. How do these properties relate to the parameters' uncertainties and (lack of) correlation? For solving a two-parameter problem with parameters X and Y, the following equa- tion can be defined: with Q(X,Y)= (X-Xo Y - Yo) A = 0² L əx² " B = 0² L ƏY2 - Xo (A 8) ( X = X ) Y - Yo " 8² L 0XOY Xo, Yo Xo, Yo Xo, Yo (Xo, Yo) is the most probable value for the joined posterior of parameters X and Y, and L is the logarithmic joined posterior probability function. In general, the iso- contours of Q at k (k = Q(X,Y)) trace an ellipse. Specify the following properties of this ellipse: the ellipse's centre; the magnitude of the axes and the orientation of the ellipse. How do these properties relate to the parameters' uncertainties and (lack of) correlation?
Expert Answer:
Answer rating: 100% (QA)
The equation QXY X Xo2 A2 Y Yo2 B2 2LC represents an ellipse Lets analyze the properties of this ell... View the full answer
Related Book For
Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
Posted Date:
Students also viewed these mathematics questions
-
The Journal of Public Health published data on the relationship between smoking and health (see Landwehr and Watkins [1987]). They reported the cigarette consumption per adult for 21 mostly western...
-
How do these issues relate to the strategic choices that the firm has made? Does the analogy to a manufacturing firm seem appropriate?
-
A firm has $400,000 in credit sales and $100,000 in accounts receivable. Compute accounts receivable turnover and average number of collection days. How do these numbers relate to the terms of 2/10...
-
Shown here are condensed income statements for two different companies (both are organized as LLCs and pay no income taxes). Required 1. Compute times interest earned for Ace Company. 2. Compute...
-
What is the difference between investment value and fair market value?
-
A, B and C were partners in a firm sharing profits and losses in the ratio of 3 : 2 : 1. They decided to dissolve the firm when the state of affairs was as follows: Investment was fully taken by A in...
-
Consider the gasoline mileage data in Table B.3. Delete eight observations (chosen at random) from the data and develop an appropriate regression model. Use this model to predict the eight withheld...
-
A company sells a building with a cost of $350,000 and accumulated depreciation of $270,000 and records the entry for the sale as follows: Required a. Did the company prepare the entry correctly? If...
-
A couple obtained a $20,000 mortgage loan at an interest rate of 10.5% compounded monthly. (Original principal equals to PV of all payments discounted at the interest rate on the loan contract) (1)...
-
Explain the difference between a discrete and a continuous variable. Give an example of each not included in the text.
-
( a 1 ) Calculate the return on shareholders' equity for Ivanhoe in 2 0 2 4 . Note that Ivanhoe's articles of incorporation authorize only common shares. The average return for the shares listed on...
-
Explain data structure with suitable examples?
-
Write an algorithm to read three different numbers from the user and then find the largest between that three numbers.
-
Using this chapter's heuristic, design materials to support two differing audiences in learning about using new technologies. First, use the heuristic to help design materials for people in...
-
People may respond emotionally as well as cognitively to the communications they read. Think about the last time you reacted emotionally to a document or a website. How did you respond? Excited?...
-
Pick any technological object you use frequently: how would you redesign the object for people who use senses differently than you do? For example, redesign your cell phone so that someone who didn't...
-
1. Compute the lower of cost or market for the Inventory applied separately to each item. 2. If the market amount is less than the recorded cost of the inventory, then record the LCM adjustment to...
-
Sandcastles, Inc.s management has recently been looking at a proposal to purchase a new brick molding machine. With the new machine, the company would not have to buy bricks. The estimated useful...
-
APPLICATION In an atom, electrons spin rapidly around a nucleus. An electron can occupy only specific energy levels, and each energy level can hold only a certain number of electrons. This table...
-
Convert each equation to the standard form of a conic section. Name the shape described by each equation. a. x2 - y2 + 8x + 10y + 2 = 0 b. 2x2 + y2 - 12x - 16y + 10 = 0 c. 3x2 + 30x + 5y - 4 = 0 d....
-
Sketch the graphs of the conic sections in 11a-d. a. y = x2 b. x2 + y2 = 9 c. x2/9 + y2/16 = 1 d. x2/9 - y2/16 = 1 e. If each of the curves in 11a-d is rotated about the y-axis, describe the shape...
-
Show that the PSD function of a WSS random process \(\{X\}\) satisfies the following properties: (a) \(\Gamma_{X}(0)=\sum_{v=-\infty}^{\infty} R_{X}(v)\). (b) It is an even function; that is:...
-
Prove that \[\begin{equation*}\mathcal{F}^{-1}\left\{\sum_{k=-\infty}^{\infty} \delta\left(\omega-\frac{2 \pi}{N} k ight) ight\}=\frac{N}{2 \pi} \sum_{p=-\infty}^{\infty} \delta(n-N p) \tag{2.262}...
-
Repeat Exercise 3.9 for the case of two complex antisymmetric sequences. Exercise 3.9 Show how to compute the DFT of two even complex length- \(N\) sequences performing only one length \(N\)...
Study smarter with the SolutionInn App