Dáileadh Normalach

Is dáileadh dóchúlachta leanúnach sa dhóchúlacht é an dáileadh normalach. Seo í an fheidhm dhlús dóchúlachta:

$f(x\mid \mu ,\sigma ^{2})={\frac {1}{\sqrt {2\pi \sigma ^{2}}}}e^{-{\frac {(x-\mu )^{2}}{2\sigma ^{2}}}}$

• Is é $\mu$ an meán nó an luach ionchais (agus an t-airmheán agus an mód chomh maith).
• Is é $\sigma$ an diall caighdeánach (agus $\sigma ^{2}$ an athraitheas).

Sin an dáileadh normalach caighdeánach an cás ina bhfuil $\mu =0$ agus $\sigma ^{2}=1$.

Dáileadh Normalach
FDD Dháilte Normalaigh
DFC Dháilte Normalaigh
Nodaireacht	Theip ó anailís na foirmle (MathML más féidir (turgnamhach): Invalid response ("Math extension cannot connect to Restbase.") from server "http://localhost:6011/ga.wikipedia.org/v1/":): {\displaystyle \mathcal{N}(\mu,\sigma^2)}
Paraiméadair	$\mu \in \mathbb {R}$ = meán $\sigma ^{2}>0$ = athraitheas
FDD	${\frac {1}{\sqrt {2\pi \sigma ^{2}}}}e^{-{\frac {(x-\mu )^{2}}{2\sigma ^{2}}}}$
DFC	${\frac {1}{2}}\left[1+\operatorname {erf} \left({\frac {x-\mu }{\sigma {\sqrt {2}}}}\right)\right]$
Meán	$\mu$
Airmheán	Theip ó anailís na foirmle (MathML más féidir (turgnamhach): Invalid response ("Math extension cannot connect to Restbase.") from server "http://localhost:6011/ga.wikipedia.org/v1/":): {\displaystyle \mu}
Mód	$\mu$
Athraitheas	$\sigma ^{2}$
FGM	$\exp(\mu t+\sigma ^{2}t^{2}/2)$