Construct the log of the likelihood function.
Understand the Problem
The question is discussing the method of likelihood estimation and asks to construct the log of the likelihood function. It covers the principle of maximum likelihood estimation and the conditions involved in maximizing the likelihood function.
Answer
Log-likelihood is the natural log of the likelihood function.
The log-likelihood function is the natural logarithm of the likelihood function.
Answer for screen readers
The log-likelihood function is the natural logarithm of the likelihood function.
More Information
The log-likelihood function is often used in statistical inference for parameter estimation. By taking the logarithm, multiplication of probabilities turns into summation, which simplifies many mathematical operations.
Tips
A common mistake is to confuse the likelihood function with the probability function. Remember, the likelihood function is a function of the parameters given the observed data.
Sources
- Log-likelihood - StatLect - statlect.com
- Log Likelihood Function - Statistics How To - statisticshowto.com
- Log Likelihood Function - an overview | ScienceDirect Topics - sciencedirect.com
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