suppose u is a uniform(0, 1) random variable. consider f-1(u), where f-1(.) is the inverse of the cdf of the random variable x. so, f-1(u) is a transformation of u. assume f-1(.) is strictly increasing. what is the distribution of f-1(u)?

Question

06-12-2022
Mathematics

Answered

suppose u is a uniform(0, 1) random variable. consider f-1(u), where f-1(.) is the inverse of the cdf of the random variable x. so, f-1(u) is a transformation of u. assume f-1(.) is strictly increasing. what is the distribution of f-1(u)?

Answer :

Other Questions

At a dome-style football stadium, sports analysts noticed that as the distance of a field-goal attempt increased, the success rate of a field-goal attempt decre

Solve by graphing. Label the axes and show where the solution is located on the graph. Suppose the sales of a particular brand of appliance satisfy the relation

For each pair of figures, determine whether one is a dilation of the other If so, give the scale factor of the smaller to the larger figure

The acceleration y, in meters per second squared, of an object after x seconds is given by y =. During the first 10 seconds, over which intervals is the acceler

A rectangular frame is placed around a water color painting. the width of the frame is consistent around the painting. the dimensions of the painting are 24 inc

A 292929-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 777 meters per minute. At a

The coordinates of the vertices of AABC are A(-2,4), B(-7,-1), and C(-3,-3). Prove that AABC is isosceles. State the coordinates of A4'B'C', the image of AABC,

Where in an equation for photosynthesis does glucose belong?on the left, because it is a producton the left, because it is a reactanton the right, because it is

The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?.

Hamid is playing a trivia game with multiple choice questions. Each question has 2 22 correct answers among 5 55 answer choices. Hamid has no idea what the answ

Qwclear Qwclear · Answer 1 · 2022-12-15T03:55:25-05:00

The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

Learn more about Distribution at:

brainly.com/question/28021875

#SPJ4