Question

the sample mean is the point estimator of

the sample mean is the point estimator of

Homework Answers

Answer #1

Four of the most common ways to find an estimate are :

  • The Method of Moments: is based on the law of large numbers and uses relatively simple equations to find point estimates. Is often not too accurate and has a tendency to be biased.
  • Maximum Likelihood: uses a model (for example, the normal distribution) and uses the values in the model to maximize a likelihood function. This results in the most likely parameter for the inputs selected.
  • Bayes Estimators: minimize the average risk (an expectation of random variables).
  • Best Unbiased Estimators: several unbiased estimators can be used to approximate a parameter.
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
Show that sample mean is an unbiased estimator of population mean.
Show that sample mean is an unbiased estimator of population mean.
2. We said in class that the sample mean, is a good estimator of the mean,...
2. We said in class that the sample mean, is a good estimator of the mean, μ. What two desirable properties did we say the sample mean has that makes it a good estimator? Explain.
We have shown that the sample mean estimator is both unbiased and consistent for the population...
We have shown that the sample mean estimator is both unbiased and consistent for the population mean. a) Give an example of an estimator for the population mean that is unbiased but not consistent b) Give an example of an estimator for population mean that is consistent but not unbiased.
which of the following is an unbiased point estimator for the expected value of any sampled...
which of the following is an unbiased point estimator for the expected value of any sampled random variables? a) the sample varlance b) the p-value c) the sample mean d) the margin of error
Explain the difference between a point estimator and a point estimate.
Explain the difference between a point estimator and a point estimate.
Consider the following estimator of the sample mean, µx:                         Z = x1/3 + 2x2­/5 +...
Consider the following estimator of the sample mean, µx:                         Z = x1/3 + 2x2­/5 + x3/6. Is Z unbiased? Compute the following: Bias(Z), Var(Z), and MSE(Z).             Did you need to make any assumptions? Assume µx = σx2 = 1 and n = 3. Which estimator, Z or x, has the lower Mean Squared Error?
prove that for normal distribution the best estimator of u is x (which is the sample...
prove that for normal distribution the best estimator of u is x (which is the sample mean) and prove that the best estimator of σ^2 is s^2
Explain the relationship between the population mean μ, the sample mean X−, and a value of...
Explain the relationship between the population mean μ, the sample mean X−, and a value of the sample mean x−. Which is the population parameter, which is a statistic, which is a point estimate, and which is an estimator?
The "percentage bias" of an estimator is given by the formula 100*(average estimator value - paramater...
The "percentage bias" of an estimator is given by the formula 100*(average estimator value - paramater value)/(parameter value) where the "parameter value" is the value of the quantity being estimated. For the question, draw samples from the set "ranvals" generated by the code below. import numpy as np ranvals = np.random.exponential(scale=20, size=1000000) Select 500,000 random samples of size 10 from ranvals and record the mean of each. Compute the average of the means and the mean for all of ranvals,...
Let X¯ be the sample mean of a random sample X1, . . . , Xn...
Let X¯ be the sample mean of a random sample X1, . . . , Xn from the exponential distribution, Exp(θ), with density function f(x) = (1/θ) exp{−x/θ}, x > 0. Show that X¯ is an unbiased point estimator of θ.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT