The log-likelihood function for the Laplace distribution for the sample {x1, …, xn} is
The maximum likelihood estimates are
where x-tilde is the median of the sample and n is the sample size. In this case
The log-likelihood function for the Laplace distribution for the sample {x1, …, xn} is
The maximum likelihood estimates are
where x-tilde is the median of the sample and n is the sample size. In this case