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Can likelihood interval be negative?
Likelihood must be at least 0, and can be greater than 1. Consider, for example, likelihood for three observations from a uniform on (0,0.1); when non-zero, the density is 10, so the product of the densities would be 1000. Consequently log-likelihood may be negative, but it may also be positive.
Can you have a negative number in a confidence interval?
The 95% confidence interval is providing a range that you are 95% confident the true difference in means falls in. Thus, the CI can include negative numbers, because the difference in means may be negative.
Can a log likelihood function be a positive value?
When I calculate the log likelihood function, I found that the values is positive. So, is that ok. Can the log likelihood function be positive? when using probability densities ( continuous outcome), the log likelihood is the sum of logs of densities that can be greater than 1, thus is can be positive.
Which is the logarithmic transformation of the likelihood function?
Log-likelihood function is a logarithmic transformation of the likelihood function, often denoted by a lowercase l or , to contrast with the uppercase L or for the likelihood. Because logarithms are strictly increasing functions, maximizing the likelihood is equivalent to maximizing the log-likelihood.
Can the likelihood value be greater than 0?
The product is the probability that failure occurs within a small interval around time xi, therefore it is a value between 0 and 1. However, the pdf function can be greater than 1. Thus, Eqn. (1) can have a value greater than 1, which causes the Ln-likelihood function of Eqn. (2) to be greater than 0.
Is the natural logarithm function positive or negative?
The natural logarithm function is negative for values less than one and positive for values greater than one. So yes, it is possible that you end up with a negative value for log-likelihood (for discrete variables it will always be so).