Question

( 2 marks) What is the Method of Moments for finding estimates of parameters of probability...

( 2 marks) What is the Method of Moments for finding estimates of parameters of probability distributions?

Homework Answers

Answer #1

Method of moments is an estimation procedure to get the estimate of the population parameters by expressing population moments as a function of parameters and equating them with the sample moments. Mathematically it can be written as

Suppose the problem is to estimate for the random variable X having distribution . Suppose the first k moments be expressed as a function of as

Let the sample moments based on n samples be given by

Then the method of moment estimator for is computed based on equating

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The method of moments estimator is a random variable. What does it mean for empirical work?...
The method of moments estimator is a random variable. What does it mean for empirical work? Said differently, how does it affect the conclusions one can draw from the regression analysis.
What is the probability of finding a n = 2, l = 1 electron between 0.2a0...
What is the probability of finding a n = 2, l = 1 electron between 0.2a0 and 3.0a0?
Finding Probabilities in Uniform Distributions The probability density of a random variable X is given in...
Finding Probabilities in Uniform Distributions The probability density of a random variable X is given in the figure below. The random variable is uniformly distributed between 0 and 2. From this density, find the probability that X is at least 1.36.
a) What is the probability (in percentage) of finding molecules at a lower speed or the...
a) What is the probability (in percentage) of finding molecules at a lower speed or the same as twice the average speed value? b) What is the probability (in percentage) of finding molecules that have kinetic energy values between kBT and 2kBT?
What is the ratio of the probability of finding a molecule moving with the average speed...
What is the ratio of the probability of finding a molecule moving with the average speed to the probability of finding a molecule moving with three times the average speed? How does this ratio depend on the temperature?
Use the method of variation of parameters to find a general solution on (-Pi/2, Pi/2) to:...
Use the method of variation of parameters to find a general solution on (-Pi/2, Pi/2) to: d^2 y / dt^2 + y = tan (t)
A) A binomial probability experiment is conducted with the given parameters. Compute the probability of x...
A) A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=12 , p=.35 , x=2 p(2)= ? B) A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n= 30 p=.03 , x=2 P(2)= ? C) A binomial probability experiment is conducted with the given parameters. Compute the probability of x...
1. 2. Use the Variation of Parameters method to solve: ?′′ + 16? = − csc(4?)...
1. 2. Use the Variation of Parameters method to solve: ?′′ + 16? = − csc(4?) (6 pts
Moments and Function Generator of Moments An urn contains 4 red balls, 3 blue, 2 green...
Moments and Function Generator of Moments An urn contains 4 red balls, 3 blue, 2 green and one yellow. Three balls are obtained from this sample (without replacement). Let X be the random variable that represents the number of red balls that are extracted. a) Find the probability function of the random variable X b) Find the first moment of the random variable c) Find the second moment of the random variable d) Find the third moment of the random...
1.Suppose 15% of the population is left-handed. What is the probability of finding 2 left-handers in...
1.Suppose 15% of the population is left-handed. What is the probability of finding 2 left-handers in a class of 30 students? Select one: a. 0.0076 b. 0.1514 c. 0.1034 d. 0.0404 2. A large shipment from a garment factory contains 60% shirts, 35% trousers, and 5% hats. Of 10 items selected at random, what is the probability that at most 2 are hats? Select one: a. 0.9138 b. 0.3897 c. 0.9885 d. 0.0746
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT