Standard normal distribution

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Probability_distribution
gptkbp:abbreviation	N(0,1)
gptkbp:characteristic	exp(-t^2/2)
gptkbp:continuity	true
gptkbp:cumulativeDistributionFunction	Φ(x)
gptkbp:entropy	0.5*ln(2πe)
gptkbp:firstMoment	0
gptkbp:fourthMoment	3
gptkbp:hasNoParameters	true
gptkbp:hasSpecialCase	gptkb:Normal_distribution
gptkbp:isBellShaped	true
gptkbp:isUnimodal	true
gptkbp:kurtosis	3
gptkbp:limitation	gptkb:Central_limit_theorem
gptkbp:meaning	0
gptkbp:medium	0
gptkbp:mode	0
gptkbp:momentGeneratingFunction	exp(t^2/2)
gptkbp:parameter	mean = 0 standard deviation = 1
gptkbp:pdf	(1/sqrt(2π)) * exp(-x^2/2)
gptkbp:quantileFunction	inverse error function
gptkbp:secondMoment	1
gptkbp:skewness	0
gptkbp:standardDeviation	1
gptkbp:supports	all real numbers
gptkbp:symmetry	0
gptkbp:thirdMoment	0
gptkbp:usedFor	statistical tables normal approximation probability calculations standardization of variables z-scores
gptkbp:usedIn	gptkb:probability_theory gptkb:z-test hypothesis testing statistical inference
gptkbp:variant	1
gptkbp:bfsParent	gptkb:Normal_distribution
gptkbp:bfsLayer	6
https://www.w3.org/2000/01/rdf-schema#label	Standard normal distribution