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Relevant bibliographies by topics / Asymptotically equivalent

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Academic literature on the topic 'Asymptotically equivalent'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Asymptotically equivalent"

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ÇAKI, Ahmet, and Aykut OR. "Asymptotically Lacunary statistical equivalent sequences in partial metric spaces." Annals of Mathematics and Computer Science 22 (March 28, 2024): 1–11. http://dx.doi.org/10.56947/amcs.v22.262.

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The present study deals with asymptotically equivalent sequences in partial metric spaces. We define the notions of strongly asymptotically lacunary equivalence, asymptotically statistical equivalence, and asymptotically lacunary statistical equivalence. We theoretically contribute to these notions and investigate some of their basic properties.

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Ulusu, Uǧur. "Asymptotically ideal invariant equivalence." Creative Mathematics and Informatics 27, no. 2 (2018): 215–20. http://dx.doi.org/10.37193/cmi.2018.02.14.

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In this paper, the concepts of asymptotically \mathcal{I}_{\sigma}-equivalence, \sigma-asymptotically equivalence, st\-rong\-ly \sigma-asymptotically equivalence and strongly \sigma-asymptotically p-equivalence for real number sequences are de\-fi\-ned. Also, we give relationships among these new type equivalence concepts and the concept of \linebreak S_{\sigma}-asymptotically equivalence which is studied in [Savaş, E. and Patterson, R. F., \sigma-asymptotically lacunary statistical equivalent sequences, Cent. Eur. J. Math., 4 (2006), No. 4, 648–655].

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Bilgin, Tunay. "(σ,f)-Asymptotically Lacunary Equivalent Sequences". International Journal of Analysis 2014 (3 грудня 2014): 1–8. http://dx.doi.org/10.1155/2014/945902.

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We introduce the strong (σ,f)-asymptotically equivalent and strong (σ,f)-asymptotically lacunary equivalent sequences which are some combinations of the definitions for asymptotically equivalent, statistical limit, modulus function, σ-convergence, and lacunary sequences. Then we use these definitions to prove strong (σ,f)-asymptotically equivalent and strong (σ,f)-asymptotically lacunary equivalent analogues of Connor’s results in Connor, 1988, Fridy and Orhan’s results in Fridy and Orhan, 1993, and Das and Patel’s results in Das and Patel, 1989.

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Hazarika, Bipan. "Wijsman Orlicz Asymptotically Ideal -Statistical Equivalent Sequences." Journal of Function Spaces and Applications 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/257181.

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An ideal is a family of subsets of positive integers which is closed under taking finite unions and subsets of its elements. In this paper, we introduce a new definition of asymptotically ideal -statistical equivalent sequence in Wijsman sense and present some definitions which are the natural combination of the definition of asymptotic equivalence, statistical equivalent, -statistical equivalent sequences in Wijsman sense. Finally, we introduce the notion of Cesaro Orlicz asymptotically -equivalent sequences in Wijsman sense and establish their relationship with other classes.

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Patterson, Richard F., and Ekrem Savaş. "P-asymptotically Equivalent in Probability." Sarajevo Journal of Mathematics 6, no. 2 (2024): 217–28. http://dx.doi.org/10.5644/sjm.06.2.06.

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In this paper we present the following definitions P-asymptotically equivalent probability of multiple $L$ and P-asymptotically probability regular. In addition to these definitions we asked and provide answers for the following questions. (1)If $x\stackrel{Probability}{\approx} y$ then what type of four dimensional matrices transformation will satisfy the following $\mu (Ax)\stackrel{Probability}{\approx} \mu (Ay)$? (2) If $[x]$ and $[y]$ are bounded double sequences that P-asymptotically converges at the same rate, then what are the necessary and sufficient conditions on the entries of any f

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Or, Aykut, and Ahmet Çakı. "I-asymptotically lacunary statistical equivalent sequences in partial metric spaces." Mathematica Moravica 28, no. 1 (2024): 121–34. http://dx.doi.org/10.5937/matmor2401121o.

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The present study deals with I-asymptotically equivalent sequences in partial metric spaces. We define the notions of strongly I-asymptotically lacunary equivalent, I-asymptotically statistical equivalent, and I-asymptotically lacunary statistical equivalent. We theoretically contribute to these notions and investigate some of their basic properties.

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Hazarika, Bipan. "On asymptotically ideal equivalent sequences." Journal of the Egyptian Mathematical Society 23, no. 1 (2015): 67–72. http://dx.doi.org/10.1016/j.joems.2014.01.011.

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SAVAŞ, EKREM. "ON ASYMPTOTICALLY λ-STATISTICAL EQUIVALENT SEQUENCES OF FUZZY NUMBERS". New Mathematics and Natural Computation 03, № 03 (2007): 301–6. http://dx.doi.org/10.1142/s1793005707000781.

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This paper presents the following definition which is a natural combination of the definitions for asymptotically equivalent and λ-statistical convergence of fuzzy numbers. The two sequences [X] and [Y] of fuzzy numbers are said to be asymptotically λ-statistical equivalent of multiple L provided that for every ∊ > 0 [Formula: see text] (denoted by [Formula: see text]) and simply asymptotically λ-statistical equivalent if L = 1. In addition, we shall also present asymptotically equivalent analogs of Savas's theorems in Ref. 7.

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Ulusu, Uğur, and Fatih Nuray. "On Asymptotically Lacunary Statistical Equivalent Set Sequences." Journal of Mathematics 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/310438.

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This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also present asymptotically equivalent (Wijsman sense) analogs of theorems in Patterson and Savaş (2006).

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SAVAŞ, EKREM. "ON ASYMPTOTICALLY LACUNARY σ-STATISTICAL EQUIVALENT SEQUENCES OF FUZZY NUMBERS". New Mathematics and Natural Computation 05, № 03 (2009): 589–98. http://dx.doi.org/10.1142/s1793005709001507.

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This paper presents the asymptotically lacunary σ-statistical equivalent which is a natural combination of the definition for asymptotically equivalent, invariant mean and lacunary statistical convergence of fuzzy numbers. In addition, we shall also present asymptotically lacunary σ-statistical equivalent analogs of Savas and Nuray's theorems in Ref. 8.

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Dissertations / Theses on the topic "Asymptotically equivalent"

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Kaimanovich, Vadim, Klaus Schmidt, and Klaus Schmidt@univie ac at. "Ergodicity of cocycles. 1: General Theory." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi936.ps.

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Books on the topic "Asymptotically equivalent"

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Cheng, Russell. Standard Asymptotic Theory. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198505044.003.0003.

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This book relies on maximum likelihood (ML) estimation of parameters. Asymptotic theory assumes regularity conditions hold when the ML estimator is consistent. Typically an additional third derivative condition is assumed to ensure that the ML estimator is also asymptotically normally distributed. Standard asymptotic results that then hold are summarized in this chapter; for example, the asymptotic variance of the ML estimator is then given by the Fisher information formula, and the log-likelihood ratio, the Wald and the score statistics for testing the statistical significance of parameter es

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Mercati, Flavio. Solutions of Shape Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.003.0013.

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This chapter deals with the most important results in SD, namely, the classical solutions of the theory in which the equivalence with (GR) breaks down. Firstly, I study the case of homogeneous but not isotropic cosmologies, known as ‘Bianchi IX’ universes in detail. In this case, each solution that reaches the big bang singularity can be continued uniquely through it, just by requiring continuity of the conformally- and scale-invariant degrees of freedom. The result is a couple of cosmological solutions with opposite orientation glued at the big bang. This result is more general than the homog

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Book chapters on the topic "Asymptotically equivalent"

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Cui, Hongyong, and Peter E. Kloeden. "Comparison of Attractors of Asymptotically Equivalent Difference Equations." In Difference Equations, Discrete Dynamical Systems and Applications. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20016-9_2.

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Savas, Ekrem, and Rabia Savas. "An Extension Asymptotically $$\lambda $$-Statistical Equivalent Sequences via Ideals." In Mathematics and Computing. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2095-8_28.

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Andrianov, Igor V., Jan Awrejcewicz, and Galina A. Starushenko. "Using of Asymptotically Equivalent Functions for Analysis of Composite Structures." In Approximate Models of Mechanics of Composites. CRC Press, 2023. http://dx.doi.org/10.1201/9781003391029-5.

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Jankola, Marek, and Jan Strejček. "Tighter Construction of Tight Büchi Automata." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-57228-9_12.

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AbstractTight automata are useful in providing the shortest counterexample in LTL model checking and also in constructing a maximally satisfying strategy in LTL strategy synthesis. There exists a translation of LTL formulas to tight Büchi automata and several translations of Büchi automata to equivalent tight Büchi automata. This paper presents another translation of Büchi automata to equivalent tight Büchi automata. The translation is designed to produce smaller tight automata and it asymptotically improves the best-known upper bound on the size of a tight Büchi automaton equivalent to a give

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Masciandaro, Nicola. "Half Dead." In Dark Chaucer. punctum books, 2012. https://doi.org/10.21983/p3.0018.1.08.

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St. Cecilia’s botched beheading in Chaucer’s Second Nun’s Tale masterfully sculpts the conundrum of life/death liminality into a horrific three-day dilation of the moment of martyrdom, opening the decollative blow that typically coincides with receiving its crown into a series of unfinished neck-cuts. Pinched between the cruelty of the headsman’s impotence, the idiotic inflexibility of the law, and her own sacred durability, Cecilia embodies the paradoxical idea of an unending, asymptotically inconclusive decapitation, an infinite series of beheading blows that never severs the head. Her hacke

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SAVAŞ, EKREM. "ON EXTENSION ASYMPTOTICALLY LACUNARY STATISTICAL EQUIVALENT SEQUENCES OF FUZZY NUMBERS." In Information Sciences 2007. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709677_0190.

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Goebel, Rafal, Ricardo G. Sanfelice, and Andrew R. Teel. "Asymptotic stability, an in-depth treatment." In Hybrid Dynamical Systems. Princeton University Press, 2012. http://dx.doi.org/10.23943/princeton/9780691153896.003.0007.

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This chapter defines local pre-asymptotic stability for a compact (closed and bounded) set and studies its properties for systems that are nominally well-posed or well-posed. While Chapter 3 dealt with global (and uniform) pre-asymptotic stability, the more general local pre-asymptotic stability is studied in this chapter, although for the more restrictive case of compact sets. Properties of the basin of attraction and uniformity of convergence are here analyzed, and some general examples of locally pre-asymptotically stable sets are given. The chapter reveals that, for nominally well-posed hy

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Harris, David, and Brett Inder. "A test of the null hypothesis of cointegration." In Nonstationary Time Series Analysis and Cointegration. Oxford University PressOxford, 1994. http://dx.doi.org/10.1093/oso/9780198773917.003.0005.

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Abstract The cointegration tests of Engle and Granger (1987) test the null hypothesis of no cointegration. We extend the unit root testing framework of Kwiatkowski el al. (1992) to testing the null hypothesis of cointegration. A test is developed which is asymptotically equivalent to the locally best invariant (LB!) test and is applicable to a wide range of nuisance parameters, and is dependent only on the number of regressors in the cointegrating regression. We tabulate asymptotic critical values for the test based on this distribution and report on a small power comparison with the Dickey-Fu

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9

Dawid, A. P. "Prequential Analysis, Stochastic Complexity and Bayesian Inference." In Bayesian Statistics 4. Oxford University PressOxford, 1992. http://dx.doi.org/10.1093/oso/9780198522669.003.0007.

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Abstract Prequential Analysis addresses the empirical assessment of statistical models, and of their associated forecasting techniques, using techniques borrowed from the methodology of Probability Forecasting. In the theory of Stochastic Complexity, the empirical assessment of a model is based on the minimal length of a coded message needed to transmit the data. It turns out that this is essentially the same as prequential assessment based on the logarithmic scoring rule. These approaches are particularly well suited to model selection, where they provide further justification for the use of

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Guichard, Frédéric, and Jean-Michel Morel. "Partial Differential Equations and Image Iterative Filtering." In The State of the Art in Numerical Analysis. Oxford University PressOxford, 1997. http://dx.doi.org/10.1093/oso/9780198500148.003.0020.

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Abstract It is well known that a conveniently rescaled iterated convolution of a linear positive kernel converges to a gaussian. As a consequence, all iterative linear smoothing methods of a signal or an image boil down to the application to the signal of the heat equation. This survey explains how a similar analysis can be performed for image iterative smoothing by a wide class of nonlinear operators, the morphological operators. These monotone operators have a property which makes them suitable for image analysis: they commute with contrast changes of the images. Among them, the median opera

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Conference papers on the topic "Asymptotically equivalent"

1

Savas, Ekrem. "On asymptotically generalized statistical equivalent set sequences." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825606.

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Gumus, Hafize, та Ekrem Savas. "On SLλ(I)-asymptotically statistical equivalent sequences". У NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756297.

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Savaş, Rabia. "Multidimensional asymptotically deferred statistical equivalent measurable functions." In 10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0121277.

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Gutierrez-Gutierrez, Jesus, and Pedro M. Crespo. "Asymptotically equivalent sequences of matrices and relative entropy." In 2013 IEEE Information Theory Workshop (ITW 2013). IEEE, 2013. http://dx.doi.org/10.1109/itw.2013.6691255.

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Savaş, Ekrem. "Asymptotically Jλ-statistical equivalent sequences of weight g". У INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959709.

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Pancaroglu, Nimet, Fatih Nuray, and Ekrem Savas. "On asymptotically lacunary invariant statistical equivalent set sequences." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825609.

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Et, Mikail, Hacer Şengül та Muhammed Çınar. "On asymptotically lacunary statistical equivalent of order α of difference sequences". У ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930438.

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Maya, Juan Augusto, Leonardo Rey Vega, and Andrea M. Tonello. "A Resource-Efficient Asymptotically Equivalent GLRT Test for Radio Source Distributed Detection." In 2023 IEEE International Mediterranean Conference on Communications and Networking (MeditCom). IEEE, 2023. http://dx.doi.org/10.1109/meditcom58224.2023.10266628.

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Yu, Wenbin. "An Improved Reissner-Mindlin Plate Theory for Composite Laminates." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59328.

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An improved Reissner-Mindlin theory for composite laminates without invoking ad hoc kinematic assumptions is constructed using the variational-asymptotic method. Instead of assuming a priori the distribution of three-dimensional displacements in terms of two-dimensional plate displacements as what is usually done in typical plate theories, an exact intrinsic formulation has been achieved by introducing unknown three-dimensional warping functions. Then the variational-asymptotic method is applied to systematically decouple the original three-dimensional problem into a one-dimensional through-th

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Babenko, M., A. Tchernykh, E. Golimblevskaia, H. N. Viet, and V. Chaurasiya. "Computationally secure threshold secret sharing scheme with minimal redundancy." In The International Workshop on Information, Computation, and Control Systems for Distributed Environments. Crossref, 2020. http://dx.doi.org/10.47350/iccs-de.2020.02.

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When designing and using distributed storage systems with cloud technology, the security issues become crucial. One of the promising mechanisms is the computationally secure threshold secret sharing scheme. We propose a computationally secure secret sharing scheme based on the minimally redundant modular code. It reduces the computational complexity of data encoding and decoding and reduce data redundancy. We show that it is computationally secure and provides data redundancy equivalent to the redundancy of the Rabin system. We demonstrate that the minimally redundant modular code does not sat

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Reports on the topic "Asymptotically equivalent"

1

Amengual, Dante, Xinyue Bei, Marine Carrasco, and Enrique Sentana. Score-type tests for normal mixtures. CIRANO, 2023. http://dx.doi.org/10.54932/uxsg1990.

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Testing normality against discrete normal mixtures is complex because some parameters turn increasingly underidentified along alternative ways of approaching the null, others are inequality constrained, and several higher-order derivatives become identically 0. These problems make the maximum of the alternative model log-likelihood function numerically unreliable. We propose score-type tests asymptotically equivalent to the likelihood ratio as the largest of two simple intuitive statistics that only require estimation under the null. One novelty of our approach is that we treat symmetrically b

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