The maximum likelihood estimator, \(\bth\), of a parameter \(\bt\), given observed data \(\x\), is the value of the parameter that maximizes the likelihood:
\[\bth = \argmax_{\bt} \, L(\bt|\x).\]The maximum likelihood estimator, \(\bth\), of a parameter \(\bt\), given observed data \(\x\), is the value of the parameter that maximizes the likelihood:
\[\bth = \argmax_{\bt} \, L(\bt|\x).\]