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In probability theory and statistics, the noncentral beta distribution is a continuous probability distribution that is a noncentral generalization of the (central) beta distribution. The noncentral beta distribution (Type I) is the distribution of the ratio where is a noncentral chi-squared random variable with degrees of freedom m and noncentrality parameter , and is a central chi-squared random variable with degrees of freedom n, independent of .In this case, A Type II noncentral beta distribution is the distributionof the ratio

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  • Loi bêta décentrée (fr)
  • Noncentral beta distribution (en)
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  • En théorie des probabilités et en statistique, la loi bêta décentrée est une loi de probabilité continue généralisant la loi bêta (sous-entendue centrée) en la décentrant grâce à un paramètre , c'est-à-dire en décalant sa moyenne. (fr)
  • In probability theory and statistics, the noncentral beta distribution is a continuous probability distribution that is a noncentral generalization of the (central) beta distribution. The noncentral beta distribution (Type I) is the distribution of the ratio where is a noncentral chi-squared random variable with degrees of freedom m and noncentrality parameter , and is a central chi-squared random variable with degrees of freedom n, independent of .In this case, A Type II noncentral beta distribution is the distributionof the ratio (en)
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  • Noncentral Beta (en)
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variance
  • where is the mean. (en)
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  • density (en)
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  • En théorie des probabilités et en statistique, la loi bêta décentrée est une loi de probabilité continue généralisant la loi bêta (sous-entendue centrée) en la décentrant grâce à un paramètre , c'est-à-dire en décalant sa moyenne. (fr)
  • In probability theory and statistics, the noncentral beta distribution is a continuous probability distribution that is a noncentral generalization of the (central) beta distribution. The noncentral beta distribution (Type I) is the distribution of the ratio where is a noncentral chi-squared random variable with degrees of freedom m and noncentrality parameter , and is a central chi-squared random variable with degrees of freedom n, independent of .In this case, A Type II noncentral beta distribution is the distributionof the ratio where the noncentral chi-squared variable is in the denominator only. If follows the type II distribution, then follows a type I distribution. (en)
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  • Beta (en)
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  • α > 0 shape (en)
  • β > 0 shape (en)
  • λ ≥ 0 noncentrality (en)
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  • (en)
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