Laplace Distribution - Parameter Estimation

Parameter Estimation

Given N independent and identically distributed samples x1, x2, ..., xN, the maximum likelihood estimator of is the sample median, and the maximum likelihood estimator of b is

(revealing a link between the Laplace distribution and least absolute deviations).

Read more about this topic:  Laplace Distribution

Famous quotes containing the word estimation:

    ... it would be impossible for women to stand in higher estimation than they do here. The deference that is paid to them at all times and in all places has often occasioned me as much surprise as pleasure.
    Frances Wright (1795–1852)