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gptkbp:instanceOf
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Probability distribution
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gptkbp:alsoKnownAs
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t-distribution
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gptkbp:application
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Small sample sizes
Unknown population standard deviation
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gptkbp:category
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Continuous probability distributions
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gptkbp:cumulativeDistributionFunction
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No simple closed form
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gptkbp:field
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gptkb:Mathematics
Statistics
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gptkbp:firstPublished
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1908
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https://www.w3.org/2000/01/rdf-schema#label
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Student's t-distribution
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gptkbp:kurtosis
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6/(df-4) for df > 4
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gptkbp:limitAsDfIncreases
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gptkb:Normal_distribution
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gptkbp:meaning
|
0 (for df > 1)
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gptkbp:namedAfter
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gptkb:William_Sealy_Gosset
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gptkbp:parameter
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Degrees of freedom
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gptkbp:pdf
|
f(x) = Γ((ν+1)/2) / (√(νπ) Γ(ν/2)) (1 + x²/ν)^(-(ν+1)/2)
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gptkbp:relatedTo
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gptkb:Chi-squared_distribution
gptkb:Normal_distribution
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gptkbp:skewness
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0 (for df > 3)
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gptkbp:supports
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Real numbers
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gptkbp:usedFor
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gptkb:Hypothesis_testing
Confidence intervals
Estimating population parameters
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gptkbp:usedIn
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Statistics
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gptkbp:variant
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df/(df-2) for df > 2
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gptkbp:bfsParent
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gptkb:William_Sealy_Gosset
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gptkbp:bfsLayer
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4
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