Academic literature on the topic 'Markov Transition Matrix'

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Journal articles on the topic "Markov Transition Matrix"

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Strzempko, Jessica, and Robert Gilmore Pontius. "The Flow Matrix Offers a Straightforward Alternative to the Problematic Markov Matrix." Land 12, no. 7 (2023): 1471. http://dx.doi.org/10.3390/land12071471.

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The Flow matrix is a novel method to describe and extrapolate transitions among categories. The Flow matrix extrapolates a constant transition size per unit of time on a time continuum with a maximum of one incident per observation during the extrapolation. The Flow matrix extrapolates linearly until the persistence of a category shrinks to zero. The Flow matrix has concepts and mathematics that are more straightforward than the Markov matrix. However, many scientists apply the Markov matrix by default because popular software packages offer no alternative to the Markov matrix, despite the con
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Dukhovny, Alexander M. "Markov chains with quasitoeplitz transition matrix." Journal of Applied Mathematics and Simulation 2, no. 1 (1989): 71–82. http://dx.doi.org/10.1155/s1048953389000055.

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This paper investigates a class of Markov chains which are frequently encountered in various applications (e.g. queueing systems, dams and inventories) with feedback. Generating functions of transient and steady state probabilities are found by solving a special Riemann boundary value problem on the unit circle. A criterion of ergodicity is established.
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Solan, Eilon, and Nicolas Vieille. "Perturbed Markov chains." Journal of Applied Probability 40, no. 1 (2003): 107–22. http://dx.doi.org/10.1239/jap/1044476830.

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We study irreducible time-homogenous Markov chains with finite state space in discrete time. We obtain results on the sensitivity of the stationary distribution and other statistical quantities with respect to perturbations of the transition matrix. We define a new closeness relation between transition matrices, and use graph-theoretic techniques, in contrast with the matrix analysis techniques previously used.
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Solan, Eilon, and Nicolas Vieille. "Perturbed Markov chains." Journal of Applied Probability 40, no. 01 (2003): 107–22. http://dx.doi.org/10.1017/s0021900200022294.

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We study irreducible time-homogenous Markov chains with finite state space in discrete time. We obtain results on the sensitivity of the stationary distribution and other statistical quantities with respect to perturbations of the transition matrix. We define a new closeness relation between transition matrices, and use graph-theoretic techniques, in contrast with the matrix analysis techniques previously used.
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F. Ahmed, Alaa. "A Proposed Bayesian Estimation of Transitional Probability for a Markov Chain with Random Times via Swarm Algorithm." Journal of Al-Rafidain University College For Sciences ( Print ISSN: 1681-6870 ,Online ISSN: 2790-2293 ) 56, no. 1 (2025): 411–20. https://doi.org/10.55562/jrucs.v56i1.37.

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The transition matrix estimators of the Markov chain are not accurate and the transition matrix is considered given. There are many methods that are used to estimate the transition probabilities matrix for different cases, the most famous of which is the Maximum Likelihood Method, in order to find a good and new estimator for the transition probabilities matrix of the Markov chain, a method was proposed, which is a modification of the Bayes method, to reach the transition probabilities with the least variance. This method assumes that the values of in the initial probability are estimated by t
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Eastman, J. Ronald, and Jiena He. "A Regression-Based Procedure for Markov Transition Probability Estimation in Land Change Modeling." Land 9, no. 11 (2020): 407. http://dx.doi.org/10.3390/land9110407.

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Land change models commonly model the expected quantity of change as a Markov chain. Markov transition probabilities can be estimated by tabulating the relative frequency of change for all transitions between two dates. To estimate the appropriate transition probability matrix for any future date requires the determination of an annualized matrix through eigendecomposition followed by matrix powering. However, the technique yields multiple solutions, commonly with imaginary parts and negative transitions, and possibly with no non-negative real stochastic matrix solution. In addition, the compu
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Rothe, Frederic, and Martin Lames. "Markov-chain Modelling and Simulative Assessment of the Impact of Selected Tactical Behaviours in Modern Tennis." International Journal of Racket Sports Science 5, no. 1 (2023): 1–13. https://doi.org/10.30827/ijrss.33243.

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Game behaviour in net games or other sports is often captured in the form of discrete performance indicators which represent frequencies or relative frequencies of key behavioural variables. In this regard however, discrete performance indicators are often of low practical relevance as they lack information on the sequence of actions and the underlying interaction of players in a match. Thereby, establishing a connection between performance indicators and sport success also remains an open challenge. In tennis, finite Markov chain modelling based on a transition matrix has shown promise in cir
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Ghaffari Rad, Afsaneh, Sajjad Negahban, Behzad Tokhmechi, and Hossein Mostafavi. "DRILL BIT SELECTION IN A FORMATION WITH DIFFERENT SEDIMENTARY FACIES USING THE MARKOV CHAIN: A CASE STUDY AT ONE OF THE OIL FIELDS IN THE SOUTH OF IRAN." Rudarsko-geološko-naftni zbornik 36, no. 2 (2021): 83–92. http://dx.doi.org/10.17794/rgn.2021.2.8.

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The selection of a drill bit is an essential issue in well planning. Furthermore, identification and evaluation of sedimentary rocks before well drilling plays a crucial role in choosing the drill bit. Moreover, the Markov chain as a stochastic model is one of the powerful methods for identifying lithological units, which is based on the calculation of the transition probability matrix or transition matrix. The Markov chain experiences transitions from one state (a situation or set of values) to another according to specified probabilistic rules. In this paper, the Markov chain was implemented
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Hartfiel, D. J. "Homogeneous Markov chains by bounded transition matrix." Journal of Applied Probability 31, no. 2 (1994): 362–72. http://dx.doi.org/10.2307/3215029.

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Let A be a stochastic matrix and ε a positive number. We consider all stochastic matrices within ε of A and their corresponding stochastic eigenvectors. A convex polytope containing these vectors is described. An efficient algorithm for computing bounds on the components of these vectors is also given. The work is compared to previous such work done by the author and by Courtois and Semai.
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Hartfiel, D. J. "Homogeneous Markov chains by bounded transition matrix." Journal of Applied Probability 31, no. 02 (1994): 362–72. http://dx.doi.org/10.1017/s0021900200044880.

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Let A be a stochastic matrix and ε a positive number. We consider all stochastic matrices within ε of A and their corresponding stochastic eigenvectors. A convex polytope containing these vectors is described. An efficient algorithm for computing bounds on the components of these vectors is also given. The work is compared to previous such work done by the author and by Courtois and Semai.
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Dissertations / Theses on the topic "Markov Transition Matrix"

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Zhang, Xiaojing. "A simulation study of confidence intervals for the transition matrix of a reversible Markov chain." Kansas State University, 2016. http://hdl.handle.net/2097/32737.

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Haber, René. "Transition Matrix Monte Carlo Methods for Density of States Prediction." Doctoral thesis, Universitätsbibliothek Chemnitz, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-146873.

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Ziel dieser Arbeit ist zunächst die Entwicklung einer Vergleichsgrundlage, auf Basis derer Algorithmen zur Berechnung der Zustandsdichte verglichen werden können. Darauf aufbauend wird ein bestehendes übergangsmatrixbasiertes Verfahren für das großkanonisch Ensemble um ein neues Auswerteverfahren erweitert. Dazu werden numerische Untersuchungen verschiedener Monte-Carlo-Algorithmen zur Berechnung der Zustandsdichte durchgeführt. Das Hauptaugenmerk liegt dabei auf Verfahren, die auf Übergangsmatrizen basieren, sowie auf dem Verfahren von Wang und Landau. Im ersten Teil der Forschungsarbeit wird
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Torp, Emil, and Patrik Önnegren. "Driving Cycle Generation Using Statistical Analysis and Markov Chains." Thesis, Linköpings universitet, Fordonssystem, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-94147.

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A driving cycle is a velocity profile over time. Driving cycles can be used for environmental classification of cars and to evaluate vehicle performance. The benefit by using stochastic driving cycles instead of predefined driving cycles, i.e. the New European Driving Cycle, is for instance that the risk of cycle beating is reduced. Different methods to generate stochastic driving cycles based on real-world data have been used around the world, but the representativeness of the generated driving cycles has been difficult to ensure. The possibility to generate stochastic driving cycles that cap
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Lin, Lijing. "Roots of stochastic matrices and fractional matrix powers." Thesis, University of Manchester, 2011. https://www.research.manchester.ac.uk/portal/en/theses/roots-of-stochastic-matrices-and-fractional-matrix-powers(3f7dbb69-7c22-4fe9-9461-429c25c0db85).html.

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In Markov chain models in finance and healthcare a transition matrix over a certain time interval is needed but only a transition matrix over a longer time interval may be available. The problem arises of determining a stochastic $p$th root of astochastic matrix (the given transition matrix). By exploiting the theory of functions of matrices, we develop results on the existence and characterization of stochastic $p$th roots. Our contributions include characterization of when a real matrix hasa real $p$th root, a classification of $p$th roots of a possibly singular matrix,a sufficient condition
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Florence, Lindsay Walker. "Skill Evaluation in Women's Volleyball." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2286.pdf.

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Garvey, Matthew Thomas. "Diffusion Mediated Signaling: Information Capacity and Coarse Grained Representations." online version, 2009. http://rave.ohiolink.edu/etdc/view.cgi?acc%5Fnum=case1233592563.

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Allan, Michelle L. "Measuring Skill Importance in Women's Soccer and Volleyball." Diss., CLICK HERE for online access, 2009. http://contentdm.lib.byu.edu/ETD/image/etd2809.pdf.

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Bayrak, Hakan. "Lifetime Condition Prediction For Bridges." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613793/index.pdf.

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Infrastructure systems are crucial facilities. They supply the necessary transportation, water and energy utilities for the public. However, while aging, these systems gradually deteriorate in time and approach the end of their lifespans. As a result, they require periodic maintenance and repair in order to function and be reliable throughout their lifetimes. Bridge infrastructure is an essential part of the transportation infrastructure. Bridge management systems (BMSs), used to monitor the condition and safety of the bridges in a bridge infrastructure, have evolved considerably in the past d
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Guibert, Quentin. "Sur l’utilisation des modèles multi-états pour la mesure et la gestion des risques d’un contrat d’assurance." Thesis, Lyon 1, 2015. http://www.theses.fr/2015LYO10256/document.

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La mise en place de Solvabilité II conduit les actuaires à s'interroger sur la bonne adéquation entre modèles et données. Aussi, cette thèse a pour objectif d'étudier plusieurs approches statistiques, souvent méconnues des praticiens, permettant l'utilisation de méthodes multi états pour modéliser et gérer les risques individuels en assurance. Le Chapitre 1 présente le contexte général de cette thèse et permet de faire positionner ses principales contributions. Nous abordons les concepts de base liés à l'utilisation de modèles multi-états en assurance et décrivons les techniques d'inférence cl
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Guu, S. C., and 谷守全. "Bayesian Hypothesis Testing on the Transition Probability Matrix of Markov Chains." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/56973116736892924299.

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Books on the topic "Markov Transition Matrix"

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Allen, Michael P., and Dominic J. Tildesley. Monte Carlo methods. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803195.003.0004.

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The estimation of integrals by Monte Carlo sampling is introduced through a simple example. The chapter then explains importance sampling, and the use of the Metropolis and Barker forms of the transition matrix defined in terms of the underlying matrix of the Markov chain. The creation of an appropriately weighted set of states in the canonical ensemble is described in detail and the method is extended to the isothermal–isobaric, grand canonical and semi-grand ensembles. The Monte Carlo simulation of molecular fluids and fluids containing flexible molecules using a reptation algorithm is discu
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Book chapters on the topic "Markov Transition Matrix"

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Quinby, Francis, Seyeon Kim, Sohee Kang, Marco Pollanen, Michael G. Reynolds, and Wesley S. Burr. "Markov Transition Matrix Analysis of Mathematical Expression Input Models." In Lecture Notes in Computer Science. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52200-1_45.

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Moey, Cheah C. J., and Jonathan E. Rowe. "A Reduced Markov Model of GAs Without the Exact Transition Matrix." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-30217-9_8.

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Shang, Zhiqiang, Yerong Hu, Xiangyin Chen, Shiyu Liu, and Zejun Zhang. "Technical Degradation Prediction of Bridge Components Based on Semi-Markov Degradation Model." In Lecture Notes in Civil Engineering. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-4355-1_2.

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AbstractTo overcome the limitations of traditional Markov bridge degradation prediction models, which fail to consider the interactions between different component degradation mechanisms and struggle to accurately capture the true degradation conditions of bridge components, introducing an improved version of the traditional Markov model by incorporating the Weibull distribution. This enhancement results in a semi-Markov model that offers a probability distribution for predicting the technical condition of bridge components. Taking advantage of periodic inspection data from a highway section i
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Pecka, Piotr, Sebastian Deorowicz, and Mateusz Nowak. "Efficient Representation of Transition Matrix in the Markov Process Modeling of Computer Networks." In Advances in Intelligent and Soft Computing. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23169-8_49.

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Saini, Gurdeep, Naveen Yadav, Biju R. Mohan, and Nagaraj Naik. "Time Series Forecasting Using Markov Chain Probability Transition Matrix with Genetic Algorithm Optimisation." In Modeling, Simulation and Optimization. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9829-6_34.

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Krak, Thomas, Alexander Erreygers, and Jasper De Bock. "An Imprecise Probabilistic Estimator for the Transition Rate Matrix of a Continuous-Time Markov Chain." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97547-4_17.

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Herrera, Selena, and John Wilkinson. "Sugar-Cane Bioelectricity in Brazil: Reinforcing the Meta-Discourses of Bioeconomy and Energy Transition." In Bioeconomy and Global Inequalities. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-68944-5_8.

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AbstractThis article analyses the contribution of sugar-cane bioelectricity to the distribution and diversification of power generation in Brazil. A transition is currently underway towards an energy mix characterized by natural gas and new renewable energy sources, mainly wind and solar. Energy security and industrial development priorities have created political and economic challenges for bioelectricity governance. However, meta-discourses of energy transition and bioeconomy are giving rise to selection pressures that are promoting institutional changes towards an expansion of the ethanol m
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Corrêa, Cynthia Siqueira, and Diego Mauricio Yepes Maya. "Competitive Strategies for Renewable Energies: Brazilian Market." In Proceedings of the XV Ibero-American Congress of Mechanical Engineering. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-38563-6_34.

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AbstractRenewable energy sources are sustainable alternatives for the electrical and energy development of countries. This paper analyzes the different mechanisms applicable to the Brazilian scenario. Brazil has several fronts and has direct policy instruments, such as subsidies and tax incentives, and indirect mechanisms. We analyze the need to expand existing mechanisms, implement new strategies, and improve the dissemination of existing programs to increase public awareness and pursue of a more efficient renewable energy transition. The participation of renewable sources, such as solar and
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Vidyasagar, M. "Markov Processes." In Hidden Markov Processes. Princeton University Press, 2014. http://dx.doi.org/10.23943/princeton/9780691133157.003.0004.

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This chapter deals with Markov processes. It first defines the “Markov property” and shows that all the relevant information about a Markov process assuming values in a finite set of cardinality n can be captured by a nonnegative n x n matrix known as the state transition matrix, and an n-dimensional probability distribution of the initial state. It then invokes the results of the previous chapter on nonnegative matrices to analyze the temporal evolution of Markov processes. It also estimates the state transition matrix and considers the dynamics of stationary Markov chains, recurrent and tran
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Polanco, Carlos. "Discrete-Time Markov Chain Process." In Markov Chain Process (Theory and Cases). BENTHAM SCIENCE PUBLISHERS, 2023. http://dx.doi.org/10.2174/9789815080476123010010.

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In this chapter, we define the Discrete-Time Markov Chain Process operator, all the initial components seen in the previous chapter are applied, and the vector of final conditions as known as steady-state vector is defined and exemplified, this vector shows the final state of the process and depends on the initial state vector and the matrix of transition probabilities. The solution mechanism is shown both by the iteration of the vector-matrix product and by determining the eigenvalues and eigenvectors of the matrix of transition probabilities. In an effort to categorize the possible matrix of
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Conference papers on the topic "Markov Transition Matrix"

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Brenna, Andrea, Luciano Lazzari, and Marco Ormellese. "Probabilistic Model Based on Markov Chain for the Assessment of Localized Corrosion of Stainless Steels." In CORROSION 2014. NACE International, 2014. https://doi.org/10.5006/c2014-4091.

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Abstract Pitting, crevice and stress corrosion cracking are the most damaging corrosion forms of stainless steels in industrial applications. Generally, pitting and crevice susceptibility depends on a variety of factors related to the metal (chemical composition, differences in the metallurgical structure, inclusions), the environment (chloride content, pH, temperature, differential aeration) and the geometry of the system. Due to their unpredictable occurrence, localized corrosion events cannot be explained without using a proper statistical method. In this work a probabilistic approach based
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Smaoui, Mariem Kallel, Yousra Ben Jemaa, and Meriem Jaidane. "Finite alphabet generator with parameterized Markov chain transition matrix." In 2008 15th IEEE International Conference on Electronics, Circuits and Systems - (ICECS 2008). IEEE, 2008. http://dx.doi.org/10.1109/icecs.2008.4675068.

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Guo, Pengfei, Yuming Bo, and Jie Zhang. "A searching algorithm based on Markov transition matrix in WSN." In 2013 IEEE 3rd Annual International Conference on Cyber Technology in Automation, Control, and Intelligent Systems (CYBER). IEEE, 2013. http://dx.doi.org/10.1109/cyber.2013.6705487.

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Li, Hong, and Kunman Li. "A New Process Mining Approach Based on the Markov Transition Matrix." In 2014 International Conference on Computational Science and Computational Intelligence (CSCI). IEEE, 2014. http://dx.doi.org/10.1109/csci.2014.99.

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Nopiah, Zulkifli Mohd, Siti Sarah Januri, Ahmad Kamal Ariffin, Nurulkamal Masseran, and Shahrum Abdullah. "Transition probabilities matrix of Markov Chain in the fatigue crack growth model." In THE 4TH INTERNATIONAL CONFERENCE ON QUANTITATIVE SCIENCES AND ITS APPLICATIONS (ICOQSIA 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4966055.

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Lee, Samsik, and Hyojin Choi. "Measurement of Effect of Employment on Transition of Marital State: Using Transition Matrix of a Markov Chain." In IRTT 2015. Science & Engineering Research Support soCiety, 2015. http://dx.doi.org/10.14257/astl.2015.96.19.

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Yan, Li, and Feng Yu-qiang. "An Automatic Business Process Modeling Method Based on Markov Transition Matrix in BPM." In 2006 International Conference on Management Science and Engineering. IEEE, 2006. http://dx.doi.org/10.1109/icmse.2006.313842.

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Chen, Peiyuan, Kasper Klitgaard Berthelsen, Birgitte Bak-Jensen, and Zhe Chen. "Markov model of wind power time series using Bayesian inference of transition matrix." In IECON 2009 - 35th Annual Conference of IEEE Industrial Electronics (IECON). IEEE, 2009. http://dx.doi.org/10.1109/iecon.2009.5414993.

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Bi, Xin, Jinsong Du, Jie Gao, Wei Wang, and Yang Gao. "The IMM tracking algorithm for maneuvering target with adaptive Markov transition probability matrix." In 2015 IEEE 10th Conference on Industrial Electronics and Applications (ICIEA). IEEE, 2015. http://dx.doi.org/10.1109/iciea.2015.7334305.

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Lee, In Ho, and Chan Gook Park. "A Two-stage Transition Correction Function for Adaptive Markov Matrix in IMM Algorithm." In 2022 25th International Conference on Information Fusion (FUSION). IEEE, 2022. http://dx.doi.org/10.23919/fusion49751.2022.9841371.

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Reports on the topic "Markov Transition Matrix"

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Angulo Rodríguez, Emilio, and Ariel Yépez-García. The Role of Natural Gas in Energy Transition. Inter-American Development Bank, 2020. http://dx.doi.org/10.18235/0002868.

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As of 2004 and continuously to this day, the annual growth rate of renewable sources has been greater than that of all fossil fuels combined. In the midst of this transition to cleaner energy, natural gas is the only fossil fuel that has increased its share in the global energy matrix. Technological changes in the LNG supply chain, as well as transformations in the global natural gas market, largely explain this growth. This publication provides evidence on the fundamental role that natural gas plays in the energy transition, given that: (i) its greenhouse gas emissions are substantially lower
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