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Journal articles on the topic 'Class skew'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

Ma, Yanyuan, and Marc G. Genton. "Flexible Class of Skew-Symmetric Distributions." Scandinavian Journal of Statistics 31, no. 3 (September 2004): 459–68. http://dx.doi.org/10.1111/j.1467-9469.2004.03_007.x.

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2

Ma, Jianmin, and Kaishun Wang. "Four-class skew-symmetric association schemes." Journal of Combinatorial Theory, Series A 118, no. 4 (May 2011): 1381–91. http://dx.doi.org/10.1016/j.jcta.2010.12.002.

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3

Sidorenko, Vladimir, Wenhui Li, Onur Günlü, and Gerhard Kramer. "Skew Convolutional Codes." Entropy 22, no. 12 (December 2, 2020): 1364. http://dx.doi.org/10.3390/e22121364.

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A new class of convolutional codes, called skew convolutional codes, that extends the class of classical fixed convolutional codes, is proposed. Skew convolutional codes can be represented as periodic time-varying convolutional codes but have a description as compact as fixed convolutional codes. Designs of generator and parity check matrices, encoders, and code trellises for skew convolutional codes and their duals are shown. For memoryless channels, one can apply Viterbi or BCJR decoding algorithms, or a dualized BCJR algorithm, to decode skew convolutional codes.

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4

Mirzadeh, Saeed, and Anis Iranmanesh. "A new class of skew-logistic distribution." Mathematical Sciences 13, no. 4 (October 5, 2019): 375–85. http://dx.doi.org/10.1007/s40096-019-00306-8.

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Abstract In this study, the researchers introduce a new class of the logistic distribution which can be used to model the unimodal data with some skewness present. The new generalization is carried out using the basic idea of Nadarajah (Statistics 48(4):872–895, 2014), called truncated-exponential skew-logistic (TESL) distribution. The TESL distribution is a member of the exponential family; therefore, the skewness parameter can be derived easier. Meanwhile, some important statistical characteristics are presented; the real data set and simulation studies are applied to evaluate the results. Also, the TESL distribution is compared to at least five other skew-logistic distributions.

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5

Dinh, Hai Q., Bac T. Nguyen, and Songsak Sriboonchitta. "A Note on Skew Cyclic Codes over a Class of Rings." Algebra Colloquium 27, no. 04 (November 5, 2020): 703–12. http://dx.doi.org/10.1142/s1005386720000589.

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We study skew cyclic codes over a class of rings [Formula: see text], where each [Formula: see text] [Formula: see text] is a finite field. We prove that a skew cyclic code of arbitrary length over R is equivalent to either a usual cyclic code or a quasi-cyclic code over R. Moreover, we discuss possible extension of our results in the more general setting of [Formula: see text]-dual skew constacyclic codes over R, where δR is an automorphism of R.

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6

Li, Chun Guang, and Ting Ting Zhou. "Skew symmetry of a class of operators." Banach Journal of Mathematical Analysis 8, no. 1 (2014): 279–94. http://dx.doi.org/10.15352/bjma/1381782100.

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7

Behboodian, J., A. Jamalizadeh, and N. Balakrishnan. "A new class of skew-Cauchy distributions." Statistics & Probability Letters 76, no. 14 (August 2006): 1488–93. http://dx.doi.org/10.1016/j.spl.2006.03.008.

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8

Arellano-Valle, Reinaldo B., Héctor W. Gómez, and Fernando A. Quintana. "A New Class of Skew-Normal Distributions." Communications in Statistics - Theory and Methods 33, no. 7 (December 31, 2004): 1465–80. http://dx.doi.org/10.1081/sta-120037254.

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9

Gupta, Arjun K., and John T. Chen. "A class of multivariate skew-normal models." Annals of the Institute of Statistical Mathematics 56, no. 2 (June 2004): 305–15. http://dx.doi.org/10.1007/bf02530547.

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10

Chen, Xuedong, Qianying Zeng, and Qiankun Song. "Likelihood Inference of Nonlinear Models Based on a Class of Flexible Skewed Distributions." Abstract and Applied Analysis 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/542985.

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This paper deals with the issue of the likelihood inference for nonlinear models with a flexible skew-t-normal (FSTN) distribution, which is proposed within a general framework of flexible skew-symmetric (FSS) distributions by combining with skew-t-normal (STN) distribution. In comparison with the common skewed distributions such as skew normal (SN), and skew-t (ST) as well as scale mixtures of skew normal (SMSN), the FSTN distribution can accommodate more flexibility and robustness in the presence of skewed, heavy-tailed, especially multimodal outcomes. However, for this distribution, a usual approach of maximum likelihood estimates based on EM algorithm becomes unavailable and an alternative way is to return to the original Newton-Raphson type method. In order to improve the estimation as well as the way for confidence estimation and hypothesis test for the parameters of interest, a modified Newton-Raphson iterative algorithm is presented in this paper, based on profile likelihood for nonlinear regression models with FSTN distribution, and, then, the confidence interval and hypothesis test are also developed. Furthermore, a real example and simulation are conducted to demonstrate the usefulness and the superiority of our approach.

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11

Assaye, Berhanu, Mihret Alamneh, Lakshmi Narayan Mishra, and Yeshiwas Mebrat. "Dual skew Heyting almost distributive lattices." Applied Mathematics and Nonlinear Sciences 4, no. 1 (June 25, 2019): 151–62. http://dx.doi.org/10.2478/amns.2019.1.00015.

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AbstractIn this paper, we introduce the concept of dual skew Heyting almost distributive lattices (dual skew HADLs) and characterise it in terms of dual HADL. We define an equivalence relation θ on a dual skew HADL L and prove that θ is a congruence relation on the equivalence class [x]θ so that each congruence class is a maximal rectangular subalgebra and the quotient [y]θ/θ is a maximal lattice image of [x]θ for any y ∈ [x]θ. Moreover, we show that if the set PI (L) of all the principal ideals of an ADL L with 0 is a dual skew Heyting algebra then L becomes a dual skew HADL. Further we present different conditions on which an ADL with 0 becomes a dual skew HADL.

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12

Zhu, Lei, and Weiwei Xu. "Backward Error Analysis for an Eigenproblem Involving Two Classes of Matrices." East Asian Journal on Applied Mathematics 4, no. 4 (November 2014): 329–44. http://dx.doi.org/10.4208/eajam.090614.031014a.

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AbstractWe consider backward errors for an eigenproblem of a class of symmetric generalised centrosymmetric matrices and skew-symmetric generalised skew-centrosymmetric matrices, which are extensions of symmetric centrosymmetric and skew-symmetric skew-centrosymmetric matrices. Explicit formulae are presented for the computable backward errors for approximate eigenpairs of these two kinds of structured matrices. Numerical examples illustrate our results.

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13

Pérez, Claudia, and Daniel Rivera. "Polynomial-time Classification of Skew-symmetrizable Matrices with a Positive Definite Quasi-Cartan Companion." Fundamenta Informaticae 181, no. 4 (August 4, 2021): 313–37. http://dx.doi.org/10.3233/fi-2021-2061.

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Skew-symmetrizable matrices play an essential role in the classification of cluster algebras. We prove that the problem of assigning a positive definite quasi-Cartan companion to a skew-symmetrizable matrix is in polynomial class P. We also present an algorithm to determine the finite type Δ ∈ {𝔸n; 𝔻n; 𝔹n; ℂn; 𝔼6; 𝔼7; 𝔼8; 𝔽4; 𝔾2} of a cluster algebra associated to the mutation-equivalence class of a connected skew-symmetrizable matrix B, if it has one.

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14

Mazurek, Ryszard. "Rota–Baxter operators on skew generalized power series rings." Journal of Algebra and Its Applications 13, no. 07 (May 2, 2014): 1450048. http://dx.doi.org/10.1142/s0219498814500480.

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Let R be a ring, S a strictly ordered monoid, and ω : S → End (R) a monoid homomorphism. The skew generalized power series ring R[[S, ω]] is a common generalization of (skew) polynomial rings, (skew) Laurent polynomial rings, (skew) power series rings, (skew) Laurent series rings, (skew) monoid rings, (skew) Mal'cev–Neumann series rings, and generalized power series rings. We characterize those subsets T of S for which the cut-off operator with respect to T is a Rota–Baxter operator on the ring R[[S, ω]]. The obtained results provide a large class of noncommutative Rota–Baxter algebras.

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15

Bavula, V. V. "Skew Category Algebras." Mathematics in Computer Science 14, no. 2 (November 13, 2019): 339–46. http://dx.doi.org/10.1007/s11786-019-00415-6.

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Abstract We study a new (large) class of algebras (that was introduced in Bavula in Math Comput Sci 11(3–4):253–268, 2017)—the skew category algebras. Any such an algebra $$ \mathcal{C}(\sigma )$$C(σ) is constructed from a category $$ \mathcal{C}$$C and a functor $$\sigma $$σ from the category $$ \mathcal{C}$$C to the category of algebras. Criteria are given for the algebra $$ \mathcal{C}(\sigma )$$C(σ) to be simple or left Noetherian or right Noetherian or semiprime or have 1.

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16

Paykan, K., and A. Moussavi. "Quasi-Armendariz generalized power series rings." Journal of Algebra and Its Applications 15, no. 05 (March 30, 2016): 1650086. http://dx.doi.org/10.1142/s0219498816500869.

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Let [Formula: see text] be a ring, [Formula: see text] a strictly ordered monoid and [Formula: see text] a monoid homomorphism. The skew generalized power series ring [Formula: see text] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal’cev–Neumann Laurent series rings. We initiate the study of the [Formula: see text]-quasi-Armendariz condition on [Formula: see text], a generalization of the standard quasi-Armendariz condition from polynomials to skew generalized power series. The class of quasi-Armendariz rings includes semiprime rings, Armendariz rings, right (left) p.q.-Baer rings and right (left) PP rings. The [Formula: see text]-quasi-Armendariz rings are closed under direct sums, upper triangular matrix rings, full matrix rings and Morita invariance. The [Formula: see text] formal upper triangular matrix rings of this class are characterized. We conclude some characterizations for a skew generalized power series ring to be semiprime, quasi-Baer, generalized quasi-Baer, primary, nilary, reflexive, ideal-symmetric and left AIP. Examples to illustrate and delimit the theory are provided.

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17

CARVALHO, MARIA, and SEBASTIÁN A. PÉREZ. "Equilibrium states for a class of skew products." Ergodic Theory and Dynamical Systems 40, no. 11 (May 14, 2019): 3030–50. http://dx.doi.org/10.1017/etds.2019.32.

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We consider skew products on $M\times \mathbb{T}^{2}$, where $M$ is the two-sphere or the two-torus, which are partially hyperbolic and semi-conjugate to an Axiom A diffeomorphism. This class of dynamics includes the open sets of $\unicode[STIX]{x1D6FA}$-non-stable systems introduced by Abraham and Smale [Non-genericity of Ł-stability. Global Analysis (Proceedings of Symposia in Pure Mathematics, XIV (Berkeley 1968)). American Mathematical Society, Providence, RI, 1970, pp. 5–8.] and Shub [Topological Transitive Diffeomorphisms in$T^{4}$ (Lecture Notes in Mathematics, 206). Springer, Berlin, 1971, pp. 39–40]. We present sufficient conditions, both on the skew products and the potentials, for the existence and uniqueness of equilibrium states, and discuss their statistical stability.

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18

Guivarc'h, Y. "Propriétés ergodiques, en mesure infinie, de certains systèmes dynamiques fibrés." Ergodic Theory and Dynamical Systems 9, no. 3 (September 1989): 433–53. http://dx.doi.org/10.1017/s0143385700005083.

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AbstractWe study the ergodic properties of a class of dynamical systems with infinite invariant measure. This class contains skew-products of Anosov systems with ℝd. The results are applied to theKproperty of skew-products and also to the ergodicity of the geodesic flow on abelian coverings of compact manifolds with constant negative curvature.

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19

King, Jonathan. "A counterexample to a positive entropy skew product generalization of the Pinsker conjecture." Ergodic Theory and Dynamical Systems 5, no. 3 (September 1985): 379–407. http://dx.doi.org/10.1017/s0143385700003023.

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AbstractThe class of k-automorphisms is not contained in a certain class of skew products over a Bernoulli base. The non-identity fibre transformation in the skew is allowed to have positive or even infinite entropy. A difficulty presented by positive entropy is handled via an apparently new property of independent processes (lemma 7.24).

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20

Zaitsev, S. N. "A triangular class of skew maximum-period polynomials." Problems of Information Transmission 52, no. 4 (October 2016): 391–99. http://dx.doi.org/10.1134/s0032946016040062.

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21

Roozegar, Rasool, and Saralees Nadarajah. "The power series skew normal class of distributions." Communications in Statistics - Theory and Methods 46, no. 22 (December 8, 2016): 11404–23. http://dx.doi.org/10.1080/03610926.2016.1267758.

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22

Branco, Márcia D., and Dipak K. Dey. "A General Class of Multivariate Skew-Elliptical Distributions." Journal of Multivariate Analysis 79, no. 1 (October 2001): 99–113. http://dx.doi.org/10.1006/jmva.2000.1960.

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23

Meenambika, K., C. V. Seshaiah, N. Sivamani, and D. Indhumathy. "The Class of n-Skew n-Binormal Operator." IOP Conference Series: Materials Science and Engineering 1145, no. 1 (April 1, 2021): 012072. http://dx.doi.org/10.1088/1757-899x/1145/1/012072.

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24

Shen, Qin-Qin, and Quan Shi. "Inexact modified positive-definite and skew-Hermitian splitting preconditioners for generalized saddle point problems." Advances in Mechanical Engineering 10, no. 10 (October 2018): 168781401880409. http://dx.doi.org/10.1177/1687814018804092.

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In this article, to better implement the modified positive-definite and skew-Hermitian splitting preconditioners studied recently (Numer. Algor., 72 (2016) 243–258) for generalized saddle point problems, a class of inexact modified positive-definite and skew-Hermitian splitting preconditioners is proposed with improved computing efficiency. Some spectral properties, including the eigenvalue distribution, the eigenvector distribution, and an upper bound of the degree of the minimal polynomial of the inexact modified positive-definite and skew-Hermitian splitting preconditioned matrices are studied. In addition, a theoretical optimal inexact modified positive-definite and skew-Hermitian splitting preconditioner is obtained. Numerical experiments arising from a model steady incompressible Navier–Stokes problem are used to validate the theoretical results and illustrate the effectiveness of this new class of proposed preconditioners.

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25

KOWALSKI, ZBIGNIEW S. "DUAL SKEW PRODUCTS, GENERICITY OF THE EXACTNESS PROPERTY AND FINANCE." International Journal of Bifurcation and Chaos 21, no. 02 (February 2011): 545–50. http://dx.doi.org/10.1142/s0218127411028593.

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By introducing the concept of dual skew products and dual measures we obtain the class of skew products over Bernoulli shifts for which exactness is generic. We use the above to describe the stationary distributions of random walks determined by skew products as above. Finally, the application to binomial model for asset prices is presented.

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26

CROW, KATHI. "SIMPLE REGULAR SKEW GROUP RINGS." Journal of Algebra and Its Applications 04, no. 02 (April 2005): 127–37. http://dx.doi.org/10.1142/s0219498805000909.

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Given a group G acting on a ring R via α:G → Aut (R), one can construct the skew group ring R*αG. Skew group rings have been studied in depth, but necessary and sufficient conditions for the simplicity of a general skew group ring are not known. In this paper, such conditions are given for certain types of skew group rings, with an emphasis on Von Neumann regular skew group rings. Next the results of the first section are used to construct a class of simple skew group rings. In particular, we obtain a more efficient proof of the simplicity of a certain ring constructed by J. Trlifaj.

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27

Farahat, Mohamed A., and Salha T. Al-Bogamy. "Weak PS-rings over Skew Hurwitz Series." European Journal of Pure and Applied Mathematics 11, no. 1 (January 30, 2018): 244. http://dx.doi.org/10.29020/nybg.ejpam.v11i1.3206.

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The notion of PS-rings is extended to the class of weak PS-rings. Weexplore the algebraic properties of such class and study its relation withmany other rings such as local ring and semisimple NI-ring. Also, weshow the following result concerned, the ring of skew Hurwitz series. If R is aweak right PS-ring, then the ring of skew Hurwitz series is a weak right PS-ring.

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28

Chen, Xuedong, Qianying Zeng, and Qiankun Song. "Penalized Maximum Likelihood Method to a Class of Skewness Data Analysis." Mathematical Problems in Engineering 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/824816.

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An extension of some standard likelihood and variable selection criteria based on procedures of linear regression models under the skew-normal distribution or the skew-tdistribution is developed. This novel class of models provides a useful generalization of symmetrical linear regression models, since the random term distributions cover both symmetric as well as asymmetric and heavy-tailed distributions. A generalized expectation-maximization algorithm is developed for computing thel1penalized estimator. Efficacy of the proposed methodology and algorithm is demonstrated by simulated data.

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29

Catino, Francesco, Ilaria Colazzo, and Paola Stefanelli. "Skew left braces with non-trivial annihilator." Journal of Algebra and Its Applications 18, no. 02 (February 2019): 1950033. http://dx.doi.org/10.1142/s0219498819500336.

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We describe the class of all skew left braces with non-trivial annihilator through ideal extension of a skew left brace. The ideal extension of skew left braces is a generalization to the non-abelian case of the extension of left braces provided by Bachiller in [D. Bachiller, Extensions, matched products, and simple braces, J. Pure Appl. Algebra 222 (2018) 1670–1691].

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30

Ke, Yifen, and Changfeng Ma. "The Generalized Bisymmetric (Bi-Skew-Symmetric) Solutions of a Class of Matrix Equations and Its Least Squares Problem." Abstract and Applied Analysis 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/239465.

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The solvability conditions and the general expression of the generalized bisymmetric and bi-skew-symmetric solutions of a class of matrix equations(AX=B,XC=D)are established, respectively. If the solvability conditions are not satisfied, the generalized bisymmetric and bi-skew-symmetric least squares solutions of the matrix equations are considered. In addition, two algorithms are provided to compute the generalized bisymmetric and bi-skew-symmetric least squares solutions. Numerical experiments illustrate that the results are reasonable.

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31

Kumar, C. Satheesh, and M. R. Anusree. "On an extended skew curved normal distribution and its application." Journal of Statistical Research 51, no. 2 (February 1, 2018): 115–29. http://dx.doi.org/10.47302/jsr.2017510202.

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In this paper we introduce a new class of asymmetric normal distributions, namely extended skew curved normal distribution, as a generalization of the skew curved normal distribution of Arellano-Valle et al. (Commun. Statist. Theor. Meth., 2004) and study some of its important aspects. A location scale extension of this family of distribution is also considered and the estimation of the parameters of the extended class is discussed.

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32

Lezama, Oswaldo, Juan Pablo Acosta, Cristian Chaparro, Ingrid Ojeda, and César Venegas. "ORE AND GOLDIE THEOREMS FOR SKEW PBW EXTENSIONS." Asian-European Journal of Mathematics 06, no. 04 (December 2013): 1350061. http://dx.doi.org/10.1142/s1793557113500617.

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Many rings and algebras arising in quantum mechanics can be interpreted as skew Poincaré–Birkhoff–Witt (PBW) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and its quantization), Artamonov quantum polynomials, diffusion algebras, Manin algebra of quantum matrices, among many others, are examples of skew PBW extensions. In this paper, we extend the classical Ore and Goldie theorems, known for skew polynomial rings, to this wide class of non-commutative rings. As application, we prove the quantum version of the Gelfand–Kirillov conjecture for the skew quantum polynomials.

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33

Aydin, Nuh, and Taher Abualrub. "Optimal quantum codes from additive skew cyclic codes." Discrete Mathematics, Algorithms and Applications 08, no. 03 (August 2016): 1650037. http://dx.doi.org/10.1142/s1793830916500373.

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Additive codes received much attention due to their connections with quantum codes. On the other hand, skew cyclic codes proved to be a useful class of codes that contain many good codes. In this work, we introduce and study additive skew cyclic codes over the quaternary field [Formula: see text], obtaining some structural properties of these codes. Moreover, we also show that many best known and optimal quantum codes can be obtained from this class.

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34

Oh, Sei-Qwon. "Catenarity in a class of iterated skew polynomial rings." Communications in Algebra 25, no. 1 (January 1997): 37–49. http://dx.doi.org/10.1080/00927879708825838.

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35

Kim, Hea-Jung. "On a class of two-piece skew-normal distributions." Statistics 39, no. 6 (December 2005): 537–53. http://dx.doi.org/10.1080/02331880500366027.

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36

Barrera, Nelson P., Manuel Galea, Soledad Torres, and Manuel Villalón. "Class of skew-distributions: theory and applications in biology." Statistics 40, no. 4 (August 2006): 365–75. http://dx.doi.org/10.1080/02331880600741780.

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37

Bernardi, Alessandra, and Davide Vanzo. "A new class of non-identifiable skew-symmetric tensors." Annali di Matematica Pura ed Applicata (1923 -) 197, no. 5 (March 16, 2018): 1499–510. http://dx.doi.org/10.1007/s10231-018-0734-z.

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38

Hellekalek, P., and G. Larcher. "On the ergodicity of a class of skew products." Israel Journal of Mathematics 54, no. 3 (October 1986): 301–6. http://dx.doi.org/10.1007/bf02764958.

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39

Madhavan, S. "Bisimple weakly inverse semigroups with partial right unitoids." Glasgow Mathematical Journal 30, no. 1 (January 1988): 1–10. http://dx.doi.org/10.1017/s0017089500006972.

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In an earlier paper [5] of the author bisimple weakly inverse semigroups with partial identities were studied. The aim of this paper is to extend the results to a wider class of semigroups, viz: bisimple weakly inverse semigroups with partial right unitoids. It is found that an ℛ-class of weakly inverse semigroup is a right skew groupoid R = (R, P), where P is a right skew semigroup [5], P⊆R, and R is a partial semigroup satisfying certain conditions. When S is a bisimple weakly inverse semigroup with E the set of partial right unitoids, it can be shown that the ℛ-class R = (R, P) containing E, which is a right skew groupoid, satisfies the following:(i) for any a, b ∈ R, there exists c ∈ R such that Pa ∩ Pb = Pc;(ii) for any a ∈ R, there exists a left identity e of R such that (Pa ∩ P)e = Pa ∩ P.

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40

Siddiqi, M. D., A. Haseeb, and M. Ahmad. "Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds." Carpathian Mathematical Publications 9, no. 2 (January 2, 2018): 188–97. http://dx.doi.org/10.15330/cmp.9.2.188-197.

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In the present paper, we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the condition for a skew semi-invariant submanifold of a generalized Quasi-Sasakian manifold to be mixed totally geodesic. Also it is shown that a skew semi-invariant submanifold of a generalized Quasi-Sasakian manifold will be anti-invariant if and only if $A_{\xi}=0$; and the submanifold will be skew semi-invariant submanifold if $\nabla w=0$. The equivalence relations for the skew semi-invariant submanifold of a generalized Quasi-Sasakian manifold are given. Furthermore, we have proved that a skew semi-invariant $\xi^\perp$-submanifold of a normal almost contact metric manifold and a generalized Quasi-Sasakian manifold with non-trivial invariant distribution is $CR$-manifold. An example of dimension 5 is given to show that a skew semi-invariant $\xi^\perp$ submanifold is a $CR$-structure on the manifold.

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41

López-Aguayo, Daniel. "A note on species realizations and nondegeneracy of potentials." Journal of Algebra and Its Applications 18, no. 02 (February 2019): 1950024. http://dx.doi.org/10.1142/s0219498819500245.

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In this note, we show that a mutation theory of species with potential can be defined so that a certain class of skew-symmetrizable integer matrices have a species realization admitting a nondegenerate potential. This gives a partial affirmative answer to a question raised by Jan Geuenich and Daniel Labardini-Fragoso. We also provide an example of a class of skew-symmetrizable [Formula: see text] integer matrices, which are not globally unfoldable nor strongly primitive, and that have a species realization admitting a nondegenerate potential.

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42

Zeng, Min-Li, and Guo-Feng Zhang. "A Class of Preconditioned TGHSS-Based Iteration Methods for Weakly Nonlinear Systems." East Asian Journal on Applied Mathematics 6, no. 4 (October 19, 2016): 367–83. http://dx.doi.org/10.4208/eajam.150116.240516a.

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AbstractIn this paper, we first construct a preconditioned two-parameter generalized Hermitian and skew-Hermitian splitting (PTGHSS) iteration method based on the two-parameter generalized Hermitian and skew-Hermitian splitting (TGHSS) iteration method for non-Hermitian positive definite linear systems. Then a class of PTGHSS-based iteration methods are proposed for solving weakly nonlinear systems based on separable property of the linear and nonlinear terms. The conditions for guaranteeing the local convergence are studied and the quasi-optimal iterative parameters are derived. Numerical experiments are implemented to show that the new methods are feasible and effective for large scale systems of weakly nonlinear systems.

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Lu, Xiaosun, Yangxin Huang, Jiaqing Chen, Rong Zhou, Shuli Yu, and Ping Yin. "Bayesian joint analysis of heterogeneous- and skewed-longitudinal data and a binary outcome, with application to AIDS clinical studies." Statistical Methods in Medical Research 27, no. 10 (January 30, 2017): 2946–63. http://dx.doi.org/10.1177/0962280217689852.

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In medical studies, heterogeneous- and skewed-longitudinal data with mis-measured covariates are often observed together with a clinically important binary outcome. A finite mixture of joint models is currently used to fit heterogeneous-longitudinal data and binary outcome, in which these two parts are connected by the individual latent class membership. The skew distributions, such as skew-normal and skew-t, have shown beneficial in dealing with asymmetric data in various applications in literature. However, there has been relatively few studies concerning joint modeling of heterogeneous- and skewed-longitudinal data and a binary outcome. In this article, we propose a joint model in which a flexible finite mixture of nonlinear mixed-effects models with skew distributions is connected with binary logistic model by a latent class membership indicator. Simulation studies are conducted to assess the performance of the proposed models and method, and a real example from an AIDS clinical trial study illustrates the methodology by modeling the viral dynamics to compare potential models with different distribution specifications; the analysis results are reported.

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Islam, Habibul, and Om Prakash. "A class of constacyclic codes over the ring Z4[u,v]/ and their Gray images." Filomat 33, no. 8 (2019): 2237–48. http://dx.doi.org/10.2298/fil1908237i.

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In this paper, we study (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes over the ring Z4 + uZ4 + vZ4 + uvZ4 where u2 = v2 = 0,uv = vu. We define some new Gray maps and show that the Gray images of (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z4. Further, we determine the structure of (1 + 2u + 2v)-constacyclic codes of odd length n.

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KUMAR, C. SATHEESH, and G. V. ANILA. "Asymptotic curved normal distribution." Journal of Statistical Research 52, no. 2 (March 11, 2019): 173–86. http://dx.doi.org/10.47302/2018520204.

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Here we introduce a new class of skew normal distribution as a generalization of the extended skew curved normal distribution of Kumar and Anusree (J. Statist. Res., 2017) and investigate some of its important statistical properties. The location-scale extension of the proposed class of distribution is also defined and discussed the estimation of its parameters by method of maximum likelihood. Further, a real life data set is considered for illustrating the usefulness of the model and a brief simulation study is attempted for assessing the performance of the estimators.

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Kopperman, Ralph D., and Desmond Robbie. "Skew compact semigroups." Applied General Topology 4, no. 1 (April 1, 2003): 133. http://dx.doi.org/10.4995/agt.2003.2015.

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<p>Skew compact spaces are the best behaving generalization of compact Hausdorff spaces to non-Hausdorff spaces. They are those (X ; τ ) such that there is another topology τ* on X for which τ V τ* is compact and (X; τ ; τ*) is pairwise Hausdorff; under these conditions, τ uniquely determines τ *, and (X; τ*) is also skew compact. Much of the theory of compact T<sub>2</sub> semigroups extends to this wider class. We show:</p> <p>A continuous skew compact semigroup is a semigroup with skew compact topology τ, such that the semigroup operation is continuous τ<sup>2</sup>→ τ. Each of these contains a unique minimal ideal which is an upper set with respect to the specialization order.</p> <p>A skew compact semigroup which is a continuous semigroup with respect to both topologies is called a de Groot semigroup. Given one of these, we show:</p> <p>It is a compact Hausdorff group if either the operation is cancellative, or there is a unique idempotent and S<sup>2</sup> = S.</p> <p>Its topology arises from its subinvariant quasimetrics.</p> <p>Each *-closed ideal ≠ S is contained in a proper open ideal.</p>

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Abid, Salah, Uday Quaez, and Javier Contreras-Reyes. "An Information-Theoretic Approach for Multivariate Skew-t Distributions and Applications." Mathematics 9, no. 2 (January 11, 2021): 146. http://dx.doi.org/10.3390/math9020146.

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Shannon and Rényi entropies are two important measures of uncertainty for data analysis. These entropies have been studied for multivariate Student-t and skew-normal distributions. In this paper, we extend the Rényi entropy to multivariate skew-t and finite mixture of multivariate skew-t (FMST) distributions. This class of flexible distributions allows handling asymmetry and tail weight behavior simultaneously. We find upper and lower bounds of Rényi entropy for these families. Numerical simulations illustrate the results for several scenarios: symmetry/asymmetry and light/heavy-tails. Finally, we present applications of our findings to a swordfish length-weight dataset to illustrate the behavior of entropies of the FMST distribution. Comparisons with the counterparts—the finite mixture of multivariate skew-normal and normal distributions—are also presented.

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Abid, Salah, Uday Quaez, and Javier Contreras-Reyes. "An Information-Theoretic Approach for Multivariate Skew-t Distributions and Applications." Mathematics 9, no. 2 (January 11, 2021): 146. http://dx.doi.org/10.3390/math9020146.

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Shannon and Rényi entropies are two important measures of uncertainty for data analysis. These entropies have been studied for multivariate Student-t and skew-normal distributions. In this paper, we extend the Rényi entropy to multivariate skew-t and finite mixture of multivariate skew-t (FMST) distributions. This class of flexible distributions allows handling asymmetry and tail weight behavior simultaneously. We find upper and lower bounds of Rényi entropy for these families. Numerical simulations illustrate the results for several scenarios: symmetry/asymmetry and light/heavy-tails. Finally, we present applications of our findings to a swordfish length-weight dataset to illustrate the behavior of entropies of the FMST distribution. Comparisons with the counterparts—the finite mixture of multivariate skew-normal and normal distributions—are also presented.

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S. Cánovas, Jose, and Antonio Falcó. "The set of periods for a class of skew-products." Discrete & Continuous Dynamical Systems - A 6, no. 4 (2000): 893–900. http://dx.doi.org/10.3934/dcds.2000.6.893.

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Elal-Olivero, David, Héctor W. Gómez, and Fernando A. Quintana. "Bayesian modeling using a class of bimodal skew-elliptical distributions." Journal of Statistical Planning and Inference 139, no. 4 (April 2009): 1484–92. http://dx.doi.org/10.1016/j.jspi.2008.07.016.

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