| dbo:abstract |
Als symmetrische (Wahrscheinlichkeits-) Verteilungen bezeichnet man in der Stochastik spezielle Wahrscheinlichkeitsverteilungen auf den reellen Zahlen. Sie zeichnen sich dadurch aus, dass (im einfachsten Fall) die Wahrscheinlichkeit, einen Wert kleiner als zu erhalten, immer gleich groß ist wie die Wahrscheinlichkeit, einen Wert größer als zu erhalten. Besitzt eine Zufallsvariable eine symmetrische Verteilung, so nennt man sie auch eine symmetrische Zufallsvariable. (de) In statistics, a symmetric probability distribution is a probability distribution—an assignment of probabilities to possible occurrences—which is unchanged when its probability density function (for continuous probability distribution) or probability mass function (for discrete random variables) is reflected around a vertical line at some value of the random variable represented by the distribution. This vertical line is the line of symmetry of the distribution. Thus the probability of being any given distance on one side of the value about which symmetry occurs is the same as the probability of being the same distance on the other side of that value. (en) |
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| rdfs:comment |
Als symmetrische (Wahrscheinlichkeits-) Verteilungen bezeichnet man in der Stochastik spezielle Wahrscheinlichkeitsverteilungen auf den reellen Zahlen. Sie zeichnen sich dadurch aus, dass (im einfachsten Fall) die Wahrscheinlichkeit, einen Wert kleiner als zu erhalten, immer gleich groß ist wie die Wahrscheinlichkeit, einen Wert größer als zu erhalten. Besitzt eine Zufallsvariable eine symmetrische Verteilung, so nennt man sie auch eine symmetrische Zufallsvariable. (de) In statistics, a symmetric probability distribution is a probability distribution—an assignment of probabilities to possible occurrences—which is unchanged when its probability density function (for continuous probability distribution) or probability mass function (for discrete random variables) is reflected around a vertical line at some value of the random variable represented by the distribution. This vertical line is the line of symmetry of the distribution. Thus the probability of being any given distance on one side of the value about which symmetry occurs is the same as the probability of being the same distance on the other side of that value. (en) |
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Symmetrische Wahrscheinlichkeitsverteilung (de) Symmetric probability distribution (en) |
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