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Informative Bayesian inference for the skew-normal distribution
Bayesian inference Gibbs sampling Markov Chain Monte Carlo Multivariate skew-normal distribution Stochastic representation of the skew-normal Uni
2013/6/14
Motivated by the analysis of the distribution of university grades, which is usually asymmetric, we discuss two informative priors for the shape parameter of the skew-normal distribution, showing that...
Moments and Absolute Moments of the Normal Distribution
Moments Absolute Moments Normal Distribution
2012/11/22
We present formulas for the (raw and central) moments and absolute moments of the normal distribution. We note that these results are not new, yet many textbooks miss out on at least some of them. Hen...
A New Approximation to the Normal Distribution Quantile Function
New Approximation Normal Distribution Quantile Function
2010/3/10
We present a new approximation to the normal distribution quan-
tile function. It has a similar form to the approximation of Beasley
and Springer [3], providing a maximum absolute error of less than...
On three characterizations of the normal distribution
three characterizations the normal distribution
2009/9/23
Of a11 the characterizations of Ule normal distribution,
three landmarks are the theorems of Bernstein and Skitovitch wncerning
independence of linear forms and the theorem of Geary concerning
inde...
Bayesian Inference for the Skewness Parameter of the Scalar Skew-Normal Distribution
Bayesian Inference the Skewness Parameter Skew-Normal Distribution
2009/9/17
Bayesian Inference for the Skewness Parameter of the Scalar Skew-Normal Distribution。
A note on the likelihood and moments of the skew-normal distribution
Skew-normal distribution maximum likelihood equations moments
2009/2/23
In this paper an alternative approach to the one in Henze (1986) is proposed for deriving the odd moments of the skew-normal distribution considered in Azzalini (1985). The approach is based on a Pasc...