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Display information for equation id:math.225881.6 on revision:225881

* Page found: Mean squared error (eq math.225881.6)

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Hash: 54fd43f24dd9657d483655828f65d579

TeX (original user input):

\operatorname{MSE}(\hat{\theta})=\operatorname{Var}(\hat{\theta})+ \left(\operatorname{Bias}(\hat{\theta},\theta)\right)^2.

TeX (checked):

\operatorname {MSE} ({\hat {\theta }})=\operatorname {Var} ({\hat {\theta }})+\left(\operatorname {Bias} ({\hat {\theta }},\theta )\right)^{2}.

LaTeXML (experimental; uses MathML) rendering

MathML (5.707 KB / 1.024 KB) :

MSE ( θ ^ ) = Var ( θ ^ ) + ( Bias ( θ ^ , θ ) ) 2 . MSE ^ 𝜃 Var ^ 𝜃 superscript Bias ^ 𝜃 𝜃 2 {\displaystyle\operatorname{MSE}({\hat{\theta}})=\operatorname{Var}({\hat{% \theta}})+\left(\operatorname{Bias}({\hat{\theta}},\theta)\right)^{2}.}
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SVG (13.105 KB / 4.766 KB) :

upper M upper S upper E left-parenthesis ModifyingAbove theta With caret right-parenthesis equals upper V a r left-parenthesis ModifyingAbove theta With caret right-parenthesis plus left-parenthesis upper B i a s left-parenthesis ModifyingAbove theta With caret comma theta right-parenthesis right-parenthesis squared period

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

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SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

[ERROR] java.lang.IllegalArgumentException: java.lang.ClassCastException@5246835d

Translation to Mathematica

In Mathematica:

[ERROR] java.lang.IllegalArgumentException: java.lang.ClassCastException@5246835d

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