Integral, mean and covariance of the simplex-truncated multivariate normal distribution. [PDF]
PLoS ONE, 2022 Compositional data, which is data consisting of fractions or probabilities, is common in many fields including ecology, economics, physical science and political science.
Matthew P Adams
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Multivariate geometric skew-normal distribution [PDF]
Statistics, 2017 Azzalini (1985) introduced a skew-normal distribution of which normal distribution is a special case. Recently Kundu (2014) introduced a geometric skew-normal distribution and showed that it has certain advantages over Azzalini's skew-normal distribution. In this paper we discuss about the multivariate geometric skew-normal distribution. It can be used
Kundu, Debasis
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On the conditional distribution of a multivariate Normal given a transformation – the linear case
Heliyon, 2019 We show that the orthogonal projection operator onto the range of the adjoint T⁎ of a linear operator T can be represented as UT, where U is an invertible linear operator. Given a Normal random vector Y and a linear operator T, we use this representation
Rajeshwari Majumdar, Suman Majumdar
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Properties and Estimations of a Multivariate Folded Normal Distribution
Mathematics, 2023 A multivariate folded normal distribution is a distribution of the absolute value of a Gaussian random vector. In this paper, we provide the marginal and conditional distributions of the multivariate folded normal distribution, and also prove that ...
Xi Liu +3 more
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Genz and Mendell-Elston Estimation of the High-Dimensional Multivariate Normal Distribution
Algorithms, 2021 Statistical analysis of multinomial data in complex datasets often requires estimation of the multivariate normal (mvn) distribution for models in which the dimensionality can easily reach 10–1000 and higher.
Lucy Blondell +3 more
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Joint Modeling of Received Power, Mean Delay, and Delay Spread for Wideband Radio Channels [PDF]
, 2021 We propose a multivariate log-normal distribution to jointly model received power, mean delay, and root mean square (rms) delay spread of wideband radio channels, referred to as the standardized temporal moments. The model is validated using experimental
Adeogun, Ramoni +6 more
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The Multivariate Skewed Log-Birnbaum–Saunders Distribution and Its Associated Regression Model
Mathematics, 2023 In this article, a multivariate extension of the unit-sinh-normal (USHN) distribution is presented. The new distribution, which is obtained from the conditionally specified distributions methodology, is absolutely continuous, and its marginal ...
Guillermo Martínez-Flórez +3 more
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Some Statistical Aspects of the Truncated Multivariate Skew-t Distribution
Mathematics, 2022 The multivariate skew-t distribution plays an important role in statistics since it combines skewness with heavy tails, a very common feature in real-world data.
Raúl Alejandro Morán-Vásquez +2 more
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Multiple Linear Cryptanalysis Using Linear Statistics
IACR Transactions on Symmetric Cryptology, 2020 We propose an improved and extended approach of the multiple linear cryptanalysis presented by A. Biryukov et al. at CRYPTO 2004 that exploits dominant and statistically independent linear trails. While they presented only rank based attacks with success
Jung-Keun Lee, Woo-Hwan Kim
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A covariance matrix test for high-dimensional data [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2016 For the multivariate normally distributed data with the dimension larger than or equal to the number of observations, or the sample size, called high-dimensional normal data, we proposed a test for testing the null hypothesis that the covariance matrix
Saowapha Chaipitak, Samruam Chongcharoen
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