Probability: Difference between revisions

Line 86: Line 86:


==Delta Method==
==Delta Method==
See [https://en.wikipedia.org/wiki/Delta_method Wikipedia]<br>
{{main | Wikipedia:Delta method}}
 
Suppose <math>\sqrt{n}(X_n - \theta) \xrightarrow{D} N(0, \sigma^2)</math>.<br>
Suppose <math>\sqrt{n}(X_n - \theta) \xrightarrow{D} N(0, \sigma^2)</math>.<br>
Let <math>g</math> be a function such that <math>g'</math> exists and <math>g'(\theta) \neq 0</math><br>
Let <math>g</math> be a function such that <math>g'</math> exists and <math>g'(\theta) \neq 0</math><br>