Maximum Likelihood: True/False + Proves | Help

MHB
Thread starter Foxglove
Start date Mar 16, 2021
Tags

Likelihood Maximum Maximum likelihood

In summary, Maximum Likelihood is a method used for estimating parameters that assumes the data follows a specific distribution. It can be used for both discrete and continuous data, but its estimate may not always be the same as the true value. It is a versatile method that can be applied to various statistical models, and while there is no definitive proof of its superiority, it has been widely used and shown to perform well in many cases.

Mar 16, 2021

Foxglove

Is this statement true or false with some proofs? Please help

Screen Shot 2021-03-16 at 9.24.21 AM.png

Physics news on Phys.org

Mar 16, 2021

Valkarie

The statement: "A triangle cannot have two right angles"False. A triangle can have two right angles if it is an isosceles right triangle, which is a special kind of triangle with two congruent sides and two right angles.

1. Is Maximum Likelihood a true or false concept?

Maximum Likelihood is a true concept in statistics and mathematical modeling. It is a method used to estimate the parameters of a statistical model by finding the values that maximize the likelihood of the observed data.

2. Can Maximum Likelihood be used for any type of data?

Yes, Maximum Likelihood can be used for any type of data as long as it follows a known probability distribution. This includes continuous, discrete, and categorical data.

3. How do you prove the accuracy of Maximum Likelihood?

The accuracy of Maximum Likelihood can be proven by comparing the estimated parameters to the true parameters of the data. This can be done through simulation studies or by using known datasets with known parameters.

4. What are the advantages of using Maximum Likelihood?

Maximum Likelihood offers several advantages, including its ability to handle various types of data, its simplicity, and its efficiency in estimating parameters. It also provides a measure of uncertainty through confidence intervals.

5. Can Maximum Likelihood be used for small sample sizes?

Yes, Maximum Likelihood can be used for small sample sizes, but the accuracy of the estimates may be affected. It is recommended to have a larger sample size for more accurate results.