有偏见 发表于 2025-3-25 06:19:16
The Sectionally Truncated Normal Distribution,runcation, moments and cumulants of the distribution are obtained. As an associated result of the Hermite polynomials found in the derivation, the product sum of natural numbers is introduced with its properties.浅滩 发表于 2025-3-25 08:16:31
http://reply.papertrans.cn/32/3198/319758/319758_22.pngcapillaries 发表于 2025-3-25 11:43:19
The Pseudo-Normal (PN) Distribution, published), 2021). The moment generating functions of the variables and their functions for the PN are obtained giving various moments. Closed properties of affine transformation, marginal/conditional and independent distributions are shown as in the CSN.CON 发表于 2025-3-25 18:20:42
http://reply.papertrans.cn/32/3198/319758/319758_24.png使混合 发表于 2025-3-25 23:52:24
http://reply.papertrans.cn/32/3198/319758/319758_25.png高歌 发表于 2025-3-26 00:44:34
http://reply.papertrans.cn/32/3198/319758/319758_26.png激怒 发表于 2025-3-26 05:00:30
http://reply.papertrans.cn/32/3198/319758/319758_27.png补角 发表于 2025-3-26 09:47:05
http://reply.papertrans.cn/32/3198/319758/319758_28.pngmisshapen 发表于 2025-3-26 15:21:18
The Truncated Pseudo-Normal (TPN) and Truncated Normal-Normal (TNN) Distributions,. When the observable variables are sectionally truncated, we have the truncated pseudo normal (TPN) and normal-normal (TNN). The properties of the TPN and TNN e.g., the moment generating functions and closure, are given. Using a non-recursive formula, the moments of the TPN are derived.终点 发表于 2025-3-26 17:27:37
Multivariate Measures of Skewness and Kurtosis,sized with the by-products of the explicit expressions of the elements. The vectors of the multivariate cumulants up to the fourth order are shown by the multiple commutators and their inverses. Properties of multivariate measures of skewness and kurtosis are discussed.