Fisher_information

introduction

%%visits: 5 The Fisher_information is the sample size n times the log likelihood_function. According to the website https://www.statisticshowto.com/fisher-information/ ,The Fisher information tells us how much information about an unknown parameter we can get from a sample ## intuition It cannot be negative. ## rigour $I_n() := $n \cdot \mathbb{E}\left[ \frac{\partial }{\partial x}l(\theta;x)^2 \right]$

If the samples are independent, then the Fisher_information can be re-written as

:= $-n\mathbb{E}\left[ \frac{\partial^2 }{\partial x^2} l(\theta;x) \right]$ ## exam clinic ## examples and non-examples ## resources https://www.statisticshowto.com/fisher-information/ tags :math:

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