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Relevant bibliographies by topics / Bernoulli

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Academic literature on the topic 'Bernoulli'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Bernoulli"

1

Kammeyer, Janet Whalen. "A classification of the isometric extensions of a multidimensional Bernoulli shift." Ergodic Theory and Dynamical Systems 12, no. 2 (1992): 267–82. http://dx.doi.org/10.1017/s014338570000674x.

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AbstractThe isometric extensions of a multidimensional Bernouli shift are classified completely, up to C-isomorphism, and up to isomorphism. If such an extension is weakly mixing then it must be Bernoulli; otherwise, it has a rotation factor, which has a Bernoulli complementary algebra. This result is extended to multidimensional Bernoulli flows and Bernoulli shifts of infinite entropy.

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Majdina, Nadhilah Idzni, Budi Pratikno, and Agustini Tripena. "PENENTUAN UKURAN SAMPEL MENGGUNAKAN RUMUS BERNOULLI DAN SLOVIN: KONSEP DAN APLIKASINYA." Jurnal Ilmiah Matematika dan Pendidikan Matematika 16, no. 1 (2024): 73. http://dx.doi.org/10.20884/1.jmp.2024.16.1.11230.

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ABSTRACT. The research discussed a sample survey to draw the population inference based on the sample from that population. There are several techniques to take a sample size, but here we focused to use the Bernoulli’s and Slovin’s formula. This study aims to: (1) reconstruct the Bernoulli’s and Slovin’s formula and (2) examine the conditions (properties) in using the Bernoulli’s and Slovin’s formula. Here, we used a simple random sampling (SRM). Furthermore, both the reconstruction of Bernoulli's and Slovin's formula used the SRM as a sampling technique. This is due to the simple random sampl

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Suryaningtyas, Wahyuni, Nur Iriawan, Heri Kuswanto, and Ismaini Zain. "On the Hierarchical Bernoulli Mixture Model Using Bayesian Hamiltonian Monte Carlo." Symmetry 13, no. 12 (2021): 2404. http://dx.doi.org/10.3390/sym13122404.

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The model developed considers the uniqueness of a data-driven binary response (indicated by 0 and 1) identified as having a Bernoulli distribution with finite mixture components. In social science applications, Bernoulli’s constructs a hierarchical structure data. This study introduces the Hierarchical Bernoulli mixture model (Hibermimo), a new analytical model that combines the Bernoulli mixture with hierarchical structure data. The proposed approach uses a Hamiltonian Monte Carlo algorithm with a No-U-Turn Sampler (HMC/NUTS). The study has performed a compatible syntax program computation ut

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Taylor, John A. "Marginal Utility and New Saint Petersburg Paradoxes." Vestnik of Saint Petersburg University. History 69, no. 3 (2024): 758–73. http://dx.doi.org/10.21638/spbu02.2024.313.

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Adam Smith may have read Daniel Bernoulli’s 1738 essay on risk, and Smith modified his view on risk while teaching jurisprudence to two Russian students, this essay argues. The matter is important because William Stanley Jevons read Adam Smith closely, of course, but Jevons did not read Daniel Bernoulli, and Jevons convinced Alfred Marshall that the concept of marginal utility did not need the advanced mathematical probability which they could have found in Bernoulli. Jevons thought arguments in English prose, like Smith’s arguments, together with the very simple mathematics of Gregory King we

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Bayad, Abdelmejid, and Yilmaz Simsek. "On Generating Functions for Parametrically Generalized Polynomials Involving Combinatorial, Bernoulli and Euler Polynomials and Numbers." Symmetry 14, no. 4 (2022): 654. http://dx.doi.org/10.3390/sym14040654.

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The aim of this paper is to give generating functions for parametrically generalized polynomials that are related to the combinatorial numbers, the Bernoulli polynomials and numbers, the Euler polynomials and numbers, the cosine-Bernoulli polynomials, the sine-Bernoulli polynomials, the cosine-Euler polynomials, and the sine-Euler polynomials. We investigate some properties of these generating functions. By applying Euler’s formula to these generating functions, we derive many new and interesting formulas and relations related to these special polynomials and numbers mentioned as above. Some s

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Sniecinski, Roman M. "Bernoulli." Anesthesia & Analgesia 119, no. 6 (2014): 1238–40. http://dx.doi.org/10.1213/ane.0000000000000490.

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Filipovic, Mirjana, and Ana Djuric. "Whole analogy between Daniel Bernoulli solution and direct kinematics solution." Theoretical and Applied Mechanics 37, no. 1 (2010): 49–78. http://dx.doi.org/10.2298/tam1001049f.

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In this paper, the relationship between the original Euler-Bernoulli's rod equation and contemporary knowledge is established. The solution which Daniel Bernoulli defined for the simplest conditions is essentially the solution of 'direct kinematics'. For this reason, special attention is devoted to dynamics and kinematics of elastic mechanisms configuration. The Euler-Bernoulli equation and its solution (used in literature for a long time) should be expanded according to the requirements of the mechanisms motion complexity. The elastic deformation is a dynamic value that depends on the total m

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Diniz, Marcio Alves. "Stop calling Bernoulli’s law of large numbers his "Golden Theorem" (Please?)." Revista Brasileira de História da Matemática 24, no. 48 (2024): 151–55. http://dx.doi.org/10.47976/rbhm2024v24n48151-155.

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Jakob Bernoulli (1655 - 1705) proved the first form of the law of large numbers before 1690 and realized the range of applications of probability calculus would be largely widened by the result. It is pretty common to find examples in the statistical literature referring to it as his “Golden Theorem”. But when did Jakob name his discovery? In fact, he never did, at least this one. A mistake in the translation of Bernoulli's major work, Ars Conjectandi (1713), and the fact that Bernoulli named another result as “Golden theorem” led us to propagate this mistake ... for almost 100 years.

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Sun, Zhi-Hong. "Congruences concerning Bernoulli numbers and Bernoulli polynomials." Discrete Applied Mathematics 105, no. 1-3 (2000): 193–223. http://dx.doi.org/10.1016/s0166-218x(00)00184-0.

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Sun, Zhi-Hong. "Congruences for Bernoulli numbers and Bernoulli polynomials." Discrete Mathematics 163, no. 1-3 (1997): 153–63. http://dx.doi.org/10.1016/s0012-365x(97)81050-3.

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Dissertations / Theses on the topic "Bernoulli"

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Whitaker, Linda M. "The Bernoulli salesman." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/24935.

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Dzindzalieta, Dainius. "Tight Bernoulli tail probability bounds." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2014. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2014~D_20140512_103743-38560.

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The purpose of the dissertation is to prove universal tight bounds for deviation from the mean probability inequalities for functions of random variables. Universal bounds shows that they are uniform with respect to some class of distributions and quantity of variables and other parameters. The bounds are called tight, if we can construct a sequence of random variables, such that the upper bounds are achieved. Such inequalities are useful for example in insurance mathematics, for constructing effective algorithms. We extend the results for Lipschitz functions on general probability metric spac

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Mirkoski, Maikon Luiz. "Números e polinômios de Bernoulli." Universidade Estadual de Ponta Grossa, 2018. http://tede2.uepg.br/jspui/handle/prefix/2699.

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Submitted by Angela Maria de Oliveira (amolivei@uepg.br) on 2018-11-29T18:07:06Z No. of bitstreams: 2 license_rdf: 811 bytes, checksum: e39d27027a6cc9cb039ad269a5db8e34 (MD5) Maikon Luiz.pdf: 959643 bytes, checksum: aaf472f5b8a9a29532793d01234788a9 (MD5)<br>Made available in DSpace on 2018-11-29T18:07:06Z (GMT). No. of bitstreams: 2 license_rdf: 811 bytes, checksum: e39d27027a6cc9cb039ad269a5db8e34 (MD5) Maikon Luiz.pdf: 959643 bytes, checksum: aaf472f5b8a9a29532793d01234788a9 (MD5) Previous issue date: 2018-10-19<br>Neste trabalho,estudamos os números e os polinomios de Bernoulli,bem como a

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Bishop, Michael Anthony. "Quantum Systems in Bernoulli Potentials." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/293431.

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Quantum mechanics is a theory developed to explain both particle and wave-like properties of small matter such as light and electrons. The consequences of the theory can be counter-intuitive but lead to mathematical and physical theory rich in fascinating phenomena and challenging questions. This dissertation investigates the nature of quantum systems in Bernoulli distributed random potentials for systems on the one dimensional lattice {0, 1, ..., L, L+1} ⊂ Z in the large system limit L → ∞. For single particle systems, the behavior of the low energy states is shown to be approximated by sys

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Prado, Flávia Bolssone do. "Modelos de regressão bivariados Bernoulli : exponencial." Universidade Federal de São Carlos, 2013. https://repositorio.ufscar.br/handle/ufscar/4569.

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Made available in DSpace on 2016-06-02T20:06:08Z (GMT). No. of bitstreams: 1 5174.pdf: 1132464 bytes, checksum: 1cccdf2e905f1a63c44eea06a7f29684 (MD5) Previous issue date: 2013-04-05<br>Universidade Federal de Sao Carlos<br>Neste trabalho desenvolvemos modelos de regressão para respostas bivariadas, discreta e contínua, com a variável discreta seguindo distribuição Bernoulli e a variável contínua, condicionada na discreta, seguindo distribuição exponencial. Um procedimento de ajuste, via abordagem Bayesiana, é utilizado para estimar os parâmetros do modelo e uma análise de resíduos Bayesiano

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Giménez, Pastor Adrián. "Bernoulli HMMs for Handwritten Text Recognition." Doctoral thesis, Universitat Politècnica de València, 2014. http://hdl.handle.net/10251/37978.

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In last years Hidden Markov Models (HMMs) have received significant attention in the task off-line handwritten text recognition (HTR). As in automatic speech recognition (ASR), HMMs are used to model the probability of an observation sequence, given its corresponding text transcription. However, in contrast to what happens in ASR, in HTR there is no standard set of local features being used by most of the proposed systems. In this thesis we propose the use of raw binary pixels as features, in conjunction with models that deal more directly with the binary data. In particular, we propose

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Szarka, John Louis III. "Surveillance of Negative Binomial and Bernoulli Processes." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/26617.

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The evaluation of discrete processes are performed for industrial and healthcare processes. Count data may be used to measure the number of defective items in industrial applications or the incidence of a certain disease at a health facility. Another classification of a discrete random variable is for binary data, where information on an item can be classified as conforming or nonconforming in a manufacturing context, or a patient's status of having a disease in health-related applications. The first phase of this research uses discrete count data modeled from the Poisson and negative binom

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Yingst, Andrew Q. "A Characterization of Homeomorphic Bernoulli Trial Measures." Thesis, University of North Texas, 2006. https://digital.library.unt.edu/ark:/67531/metadc5331/.

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We give conditions which, given two Bernoulli trial measures, determine whether there exists a homeomorphism of Cantor space which sends one measure to the other, answering a question of Oxtoby. We then provide examples, relating these results to the notions of good and refinable measures on Cantor space.

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Cooper, Michael Juergen Peter. "Dimension and measure defined by infinite Bernoulli convolutions." Thesis, Birkbeck (University of London), 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.244511.

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Strasser, Helmut. "Asymptotic expansions for conditional moments of Bernoulli trials." Oldenbourg Verlag, 2012. http://dx.doi.org/10.1524/strm.2012.1124.

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In this paper we study conditional distributions of independent, but not identically distributed Bernoulli random variables. The conditioning variable is the sum of the Bernoulli variables. We obtain Edgeworth expansions for the conditional expectations and the conditional variances and covariances. The results are of basic interest for several applications, e.g. for the study of conditional maximum likelihood estimation in Rasch models with many item parameters.

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Books on the topic "Bernoulli"

1

Dilcher, Karl. Zeros of Bernoulli, generalized Bernoulli, and Euler polynomials. American Mathematical Society, 1988.

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Nielsen, Niels. Traité élémentaire des nombres de Bernoulli. J. Gabay, 2003.

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Euler, Leonhard. Briefwechsel mit Daniel Bernoulli. Edited by Emil A. Fellmann and Gleb K. Mikhajlov. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32397-8.

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Euler, Leonhard. Briefwechsel mit Daniel Bernoulli. Edited by Emil A. Fellmann and Gleb K. Mikhajlov. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32399-2.

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1949-, Toland John F., ed. Bernoulli free-boundary problems. American Mathematical Society, 2008.

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1954-, Dilcher Karl, Skula Ladislav, and Slavutskiĭ Ilja Sh, eds. Bernoulli numbers: Bibliography (1713-1990). Queen's University, 1991.

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Bernoulli, Jakob. Die Werke von Jakob Bernoulli. Birkhäuser, 1989.

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Shiraishi, Taka-aki. Multiple Comparisons for Bernoulli Data. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-2708-9.

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Speiser, David, ed. Die Werke von Daniel Bernoulli. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-7717-6.

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Speiser, David, and André Weil, eds. Die Werke von Jakob Bernoulli. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-5038-4.

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Book chapters on the topic "Bernoulli"

1

Kac, Victor, and Pokman Cheung. "Bernoulli Polynomials and Bernoulli Numbers." In Quantum Calculus. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4613-0071-7_23.

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Talagrand, Michel. "Bernoulli Processes." In Upper and Lower Bounds for Stochastic Processes. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54075-2_5.

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Ireland, Kenneth, and Michael Rosen. "Bernoulli Numbers." In A Classical Introduction to Modern Number Theory. Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4757-2103-4_15.

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Schils, René. "Daniel Bernoulli." In How James Watt Invented the Copier. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0860-4_4.

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Feinsilver, Philip, and René Schott. "Bernoulli Processes." In Algebraic Structures and Operator Calculus. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1648-0_6.

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Feinsilver, Philip, and René Schott. "Bernoulli Systems." In Algebraic Structures and Operator Calculus. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1648-0_7.

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Altenbach, Holm. "Bernoulli, Johann." In Encyclopedia of Continuum Mechanics. Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-53605-6_283-1.

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Altenbach, Holm. "Bernoulli, Daniel." In Encyclopedia of Continuum Mechanics. Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-53605-6_286-1.

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Ibukiyama, Tomoyoshi, and Masanobu Kaneko. "Bernoulli Numbers." In Bernoulli Numbers and Zeta Functions. Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-54919-2_1.

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Feinsilver, Philip. "Bernoulli fields." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0083552.

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Conference papers on the topic "Bernoulli"

1

Chen, Zhijin, Branko Ristic, and Du Yong Kim. "A Comparative Study of Bernoulli Gaussian-max Filter and Bernoulli Gaussian-sum Filter." In 2024 13th International Conference on Control, Automation and Information Sciences (ICCAIS). IEEE, 2024. https://doi.org/10.1109/iccais63750.2024.10814535.

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Jones, George, and Ángel F. García-Fernández. "GOSPA-Driven Multi-Bernoulli Gaussian Sensor Management." In 2024 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI). IEEE, 2024. http://dx.doi.org/10.1109/mfi62651.2024.10705781.

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Sweeney, Caden, Du Yong Kim, Branko Ristic, and Brian Cheung. "Transformer Based Hybrid Bernoulli GSF Tracking Algorithm." In 2024 13th International Conference on Control, Automation and Information Sciences (ICCAIS). IEEE, 2024. https://doi.org/10.1109/iccais63750.2024.10814203.

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Wang, Ke Coby, and Michael K. Reiter. "Bernoulli Honeywords." In Network and Distributed System Security Symposium. Internet Society, 2024. http://dx.doi.org/10.14722/ndss.2024.23295.

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Fontana, Marco, Angel F. Garcia-Fenandez, and Simon Maskell. "Bernoulli merging for the Poisson multi-Bernoulli mixture filter." In 2020 IEEE 23rd International Conference on Information Fusion (FUSION). IEEE, 2020. http://dx.doi.org/10.23919/fusion45008.2020.9190443.

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KURT, BURAK, and VELİ KURT. "HERMITE-BERNOULLI 2D POLYNOMIALS." In Proceedings of the 13th Regional Conference. World Scientific Publishing Company, 2012. http://dx.doi.org/10.1142/9789814417532_0004.

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Filipovic, Mirjana. "Euler-Bernoulli equation today." In 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2009). IEEE, 2009. http://dx.doi.org/10.1109/iros.2009.5353898.

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Drakakis, E. M., S. N. Yaliraki, and M. Barahona. "Memristors and Bernoulli dynamics." In 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA 2010). IEEE, 2010. http://dx.doi.org/10.1109/cnna.2010.5430324.

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Kirişci, Murat. "On infinite Bernoulli matrices." In 6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5020471.

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Lustosa, José I. S., Flávio de C. Bannwart, and Edmundo C. de Oliveira. "Fractional Euler-Bernoulli Model." In v. 11 n. 1 (2025): CNMAC 2024. SBMAC, 2025. https://doi.org/10.5540/03.2025.011.01.0400.

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Reports on the topic "Bernoulli"

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Chen, G., S. G. Krantz, D. W. Ma, C. E. Wayne, and H. H. West. The Euler-Bernoulli Beam Equation with Boundary Energy Dissipation. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada189517.

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Garay, Óscar J. Extremals of the Generalized Euler-Bernoulli Energy and Applications. GIQ, 2012. http://dx.doi.org/10.7546/giq-10-2009-56-87.

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Garay, Oscar J. Extremals of the Generalized Euler-Bernoulli Energy and Applications. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-12-2008-27-61.

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Pengelley, David. Figurate Numbers and Sums of Numerical Powers: Fermat, Pascal, Bernoulli. The MAA Mathematical Sciences Digital Library, 2013. http://dx.doi.org/10.4169/loci003987.

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Segletes, Steven B., and William P. Walters. A Note on the Application of the Extended Bernoulli Equation. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada360735.

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Klammler, Harald. Introduction to the Mechanics of Flow and Transport for Groundwater Scientists. The Groundwater Project, 2023. http://dx.doi.org/10.21083/gxat7083.

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Starting from Newton’s laws of motion and viscosity, this book is an introduction to fundamental aspects of fluid dynamics that are most relevant to groundwater scientists. Based on a perspective of driving versus resisting forces that govern the motion of a fluid, the author derives Darcy’s law for flow through porous media by drawing an analogy to Bernoulli’s law for fluid with negligible viscosity. By combining the effects of gravity and pressure, the author identifies hydraulic head as a convenient numerical quantity to represent the force driving groundwater flow. In contrast to the physi

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AN INVESTIGATION ON THE EFFECT OF RANDOM PITTING CORROSION ON THE STRENGTH OF THE SUBSEA PIPELINE USING MONTE CARLO METHOD. The Hong Kong Institute of Steel Construction, 2024. http://dx.doi.org/10.18057/ijasc.2024.20.1.10.

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Pitting corrosion is normally distributed randomly along the pipeline, which is the source of the uncertainty affecting the ultimate bearing capacity of the submarine pipelines. So the Monte Carlo method is employed to study the effect of pitting corrosion on the upheaval buckling behavior of the pipeline. A corroded pipeline model with randomly distributed pitting corrosion is utilized to captures the intricate realities of corrosion scenarios. Multiple corrosion models with distinct artificial patterns have been meticulously crafted. Additionally, a new pipeline element based on Euler-Bernou

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