Let X be a random variable on (0, 1) whose density is f(x). Show that we can
Question:
Let X be a random variable on (0, 1) whose density is f(x). Show that we can estimate f10g(x)dx by simulating X and then taking g(X)/f (X) as our estimate. This method, called importance sampling, tries to choose f similar in shape to g, so that g(X)/f(X) has a small variance.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 87% (8 reviews)
The integral of a function fx with respect to x over a given interval can be estimated by simulating ...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Let X be a random variable on a sample space S. Show that V (aX + b) = a2V (X) whenever a and b are real numbers.
-
Let X be a random variable for which the p.d.f f is as given in Exercise 3. Construct a random variable Y = r(X) for which the p.d.f. g is as given in Exercise 9. 1 -x 0 otherwise. for 0 < x <2 f(x) =
-
Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in Mesa Verde National Park. Then x has a distribution that is approximately...
-
Alderon Industries manufactures chemicals for various purposes. One process that Alderon uses produces SPL-3, a chemical used in swimming pools; PST-4, a chemical used in pesticides; and RJ-5, a...
-
A voltaic cell is based on this reaction: 3Pb + 2V3+ ( 3Pb2+ + 2V If the voltage of the cell is 0.72 V, what is the standard reduction potential of the V3+ + 3e ( V half reaction?
-
In July, the one year interest rate is 12% on British pounds and 9% on U.S. dollars. a.If the current exchange rate is $1.63:1, what is the expected future exchange rate in one year? b. Suppose a...
-
Is the field line pattern created by a magnetic dipole the same as the field line pattern created by an electric dipole? Draw both field line patterns.
-
Caffene Company, which processes coffee beans into ground coffee, is about to adopt a JIT operating environment. In anticipation of the change, Hattie Peralto, Caffene's controller, prepared the...
-
1. A scientific committee is to be formed form 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways the committee and...
-
Waymouth Manufacturing operates a contract manufacturing plant located in Dublin, Ireland. The plant provides a variety of electronics products and components to consumer goods manufacturers around...
-
If is uniformly distributed over (a, b), what random variable, having a linear relation with X, is uniformly distributed over (0, 1)?
-
Let (X, Y) be uniformly distributed in the circle of radius 1 centered at the origin. Its joint density is thus Let R = (X 2 + Y 2 ) 1/2 and = tan -1 (Y/X) denote the polar coordinates of (X, Y)....
-
Review Figure 42, which shows the smart phone attributes identified by Consumer Reports. Which attributes are important to you? What other attributes might you consider? Which brand would you prefer?
-
A car travels at a constant speed of 3 0 . 0 mi / h ( 1 3 . 4 m / s ) on a level circular turn of radius 5 0 . 0 m , as shown in the birds - eye view in the image below. What minimum coefficient of...
-
Consider one of the following scenarios: You are at work and realize you forgot the electronic files at home for your meeting today. You just returned from a fabulous vacation and want to share...
-
Java and Python are common programming languages used by organizations. At a party, you meet a lady who works at Exxon. She tells you that she writes software using Java. What is her job role?
-
A firefighter, whose mass (including clothing and equipment) is m= 92 kg, hears the alarm and slides down the pole with a constant downward acceleration of magnitude a=3.04 m/s 2 What is the...
-
Consider this model h = 30 + 1w + B2Y + B3X+u where we are interested to regress hours of work (h) on hourly wage (w), non-labour income (Y) and some other personal characteristics (X). u is the...
-
A disaccharide forms a silver mirror with Tollens reagent and is hydrolyzed by a When the disaccharide is treated with excess methyl iodide in the presence of (a reaction that converts all the OH...
-
The time to assemble the first unit on a production line is 10 hours. The learning rate is 0.94. Approximately how long will it take for the seventh unit to be assembled? The number of hours needed...
-
Let X(i), i = 1, . . . , n, denote the order statistics from a set of n uniform (0, 1) random variables, and note that the density function of X(i) is given by f(x) = n!/(i 1)!(n i)! xi1(1 x)ni 0...
-
Show that Y = a + bX, then +1 ifb >0
-
Prove that if E[Y|X = x] = E[Y] for all x, then X and Y are uncorrelated; give a counterexample to show that the converse is not true. Prove and use the fact that E[XY] = E[XE[Y|X]].
-
What is the major advantage of the kanban system?
-
What can be done to prevent financial abuse in older adults?
-
S wants to place property in an irrevocable trust for his 14-year-old granddaughter. The trust instrument provides for the accumulation of the trust income until the granddaughter reaches age 21, at...
Study smarter with the SolutionInn App