Standard normal distribution

URI: https://gptkb.org/entity/Standard_normal_distribution
GPTKB entity
Statements (41)
Predicate Object
gptkbp:instanceOf 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
https://www.w3.org/2000/01/rdf-schema#label Standard 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