Methods of estimation: maximum likelihood and moments
Maximum Likelihood Estimation The maximum likelihood estimation (MLE) method involves finding the parameter values that maximize the probability of observin...
Maximum Likelihood Estimation The maximum likelihood estimation (MLE) method involves finding the parameter values that maximize the probability of observin...
Maximum Likelihood Estimation
The maximum likelihood estimation (MLE) method involves finding the parameter values that maximize the probability of observing the sample data. This method assumes that the underlying population follows a specific probability distribution, and the MLE estimates the population parameters by finding the values that make the probability of the observed sample data as high as possible.
Moments
Moments are a set of statistics that describe the central tendency and variability of a probability distribution. The mean, variance, and standard deviation are some commonly used moments. The MLE can be viewed as a way of estimating these parameters by finding the values that minimize the difference between the observed data and the underlying distribution