Academic literature on the topic 'Itô process'

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Journal articles on the topic "Itô process"

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Duong, Dam Ton, and Hao Ngoc Duong. "ITÔ – HERMITE RANDOM PROCESS." Science and Technology Development Journal 13, no. 3 (2010): 13–18. http://dx.doi.org/10.32508/stdj.v13i3.2149.

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Burdzy, Krzysztof, and Andrzej M{\polhk{a}}drecki. "Itô formula for an asymptotically $4$-stable process." Annals of Applied Probability 6, no. 1 (1996): 200–217. http://dx.doi.org/10.1214/aoap/1034968071.

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Tappe, Stefan. "The Itô Integral with respect to an Infinite Dimensional Lévy Process: A Series Approach." International Journal of Stochastic Analysis 2013 (April 4, 2013): 1–14. http://dx.doi.org/10.1155/2013/703769.

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We present an alternative construction of the infinite dimensional Itô integral with respect to a Hilbert space valued Lévy process. This approach is based on the well-known theory of real-valued stochastic integration, and the respective Itô integral is given by a series of Itô integrals with respect to standard Lévy processes. We also prove that this stochastic integral coincides with the Itô integral that has been developed in the literature.
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Weerasinghe, Ananda P. N. "Stationary stochastic control for Itô processes." Advances in Applied Probability 34, no. 1 (2002): 128–40. http://dx.doi.org/10.1239/aap/1019160953.

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Consider a real-valued Itô process X(t) = x + ∫0tμ(s)ds + ∫0tσ(s)dW(s) + A(t) driven by a Brownian motion {W(t) : t > 0}. The controller chooses the real-valued progressively measurable processes μ, σ and A subject to constraints |μ(t)| ≤ μ0(X(t-)) and |σ(t)| ≥ σ0(X(t-)), where the functions μ0 and σ0 are given. The process A is a bounded variation process and |A|(t) represents its total variation on [0,t]. The objective is to minimize the long-term average cost lim supT→∞(1/T)E[|A|(T) + ∫0Th(X(s))ds], where h is a given nonnegative continuous function. An optimal process X* is determined.
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Weerasinghe, Ananda P. N. "Stationary stochastic control for Itô processes." Advances in Applied Probability 34, no. 01 (2002): 128–40. http://dx.doi.org/10.1017/s0001867800011423.

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Consider a real-valued Itô process X(t) = x + ∫0 t μ(s)ds + ∫0 t σ(s)dW(s) + A(t) driven by a Brownian motion {W(t) : t > 0}. The controller chooses the real-valued progressively measurable processes μ, σ and A subject to constraints |μ(t)| ≤ μ0(X(t-)) and |σ(t)| ≥ σ0(X(t-)), where the functions μ0 and σ0 are given. The process A is a bounded variation process and |A|(t) represents its total variation on [0,t]. The objective is to minimize the long-term average cost lim sup T→∞(1/T)E[|A|(T) + ∫0 T h(X(s))ds], where h is a given nonnegative continuous function. An optimal process X * is
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Holm, Darryl D. "Stochastic modelling in fluid dynamics: Itô versus Stratonovich." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2237 (2020): 20190812. http://dx.doi.org/10.1098/rspa.2019.0812.

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Suppose the observations of Lagrangian trajectories for fluid flow in some physical situation can be modelled sufficiently accurately by a spatially correlated Itô stochastic process (with zero mean) obtained from data which is taken in fixed Eulerian space. Suppose we also want to apply Hamilton’s principle to derive the stochastic fluid equations for this situation. Now, the variational calculus for applying Hamilton’s principle requires the Stratonovich process, so we must transform from Itô noise in the data frame to the equivalent Stratonovich noise. However, the transformation from the I
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Jacod, Jean, Antoine Lejay, and Denis Talay. "Estimation of the Brownian dimension of a continuous Itô process." Bernoulli 14, no. 2 (2008): 469–98. http://dx.doi.org/10.3150/07-bej6190.

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Lo, Andrew W. "Maximum Likelihood Estimation of Generalized Itô Processes with Discretely Sampled Data." Econometric Theory 4, no. 2 (1988): 231–47. http://dx.doi.org/10.1017/s0266466600012044.

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This paper considers the parametric estimation problem for continuous-time stochastic processes described by first-order nonlinear stochastic differential equations of the generalized Itô type (containing both jump and diffusion components). We derive a particular functional partial differential equation which characterizes the exact likelihood function of a discretely sampled Itô process. In addition, we show by a simple counterexample that the common approach of estimating parameters of an Itô process by applying maximum likelihood to a discretization of the stochastic differential equation
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Ogawa, Shigeyoshi, and Hideaki Uemura. "Identification of a noncausal Itô process from the stochastic Fourier coefficients." Bulletin des Sciences Mathématiques 138, no. 1 (2014): 147–63. http://dx.doi.org/10.1016/j.bulsci.2013.12.003.

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DI NUNNO, GIULIA, THILO MEYER-BRANDIS, BERNT ØKSENDAL, and FRANK PROSKE. "MALLIAVIN CALCULUS AND ANTICIPATIVE ITÔ FORMULAE FOR LÉVY PROCESSES." Infinite Dimensional Analysis, Quantum Probability and Related Topics 08, no. 02 (2005): 235–58. http://dx.doi.org/10.1142/s0219025705001950.

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We introduce the forward integral with respect to a pure jump Lévy process and prove an Itô formula for this integral. Then we use Mallivin calculus to establish a relationship between the forward integral and the Skorohod integral and apply this to obtain an Itô formula for the Skorohod integral.
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Dissertations / Theses on the topic "Itô process"

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Nass, Aminu Ma'aruf. "Point symmetry methods for Itô Stochastic Differential Equations (SDE) with a finite jump process." Doctoral thesis, University of Cape Town, 2017. http://hdl.handle.net/11427/25387.

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The mixture of Wiener and a Poisson processes are the primary tools used in creating jump-diffusion process which is very popular in mathematical modeling. In financial mathematics, they are used to describe the change of stock rates and bonanzas, and they are often used in mathematical biology modeling and population dynamics. In this thesis, we extended the Lie point symmetry theory of deterministic differential equations to the class of jump-diffusion stochastic differential equations, i.e., a stochastic process driven by both Wiener and Poisson processes. The Poisson process generates the
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Schnurr, Alexander. "The Symbol of a Markov Semimartingale." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2009. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1244626491491-70401.

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We prove that every (nice) Feller process is an It^o process in the sense of Cinlar, Jacod, Protter and Sharpe (1980). Next we generalize the notion of the symbol and define it for this larger class of processes. As examples the solutions of stochastic differential equations are considered. The symbol is then used to derive a quick approach to the semimartingale characteristics as well as the generator of the process under consideration. Finally we give some examples of how our methods work for processes used in mathematical finance<br>Wir haben gezeigt, dass jeder (nette) Feller Prozess ein I
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Schnurr, Alexander. "The Symbol of a Markov Semimartingale." Doctoral thesis, Technische Universität Dresden, 2008. https://tud.qucosa.de/id/qucosa%3A23843.

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We prove that every (nice) Feller process is an It^o process in the sense of Cinlar, Jacod, Protter and Sharpe (1980). Next we generalize the notion of the symbol and define it for this larger class of processes. As examples the solutions of stochastic differential equations are considered. The symbol is then used to derive a quick approach to the semimartingale characteristics as well as the generator of the process under consideration. Finally we give some examples of how our methods work for processes used in mathematical finance.<br>Wir haben gezeigt, dass jeder (nette) Feller Prozess ein
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Sabel, Till Verfasser], Axel [Akademischer Betreuer] Munk, and Lutz [Akademischer Betreuer] [Dümbgen. "Simultaneous Confidence Statements about the Diffusion Coefficient of an Itô-Process with Application to Spot Volatility Estimation / Till Sabel. Gutachter: Axel Munk ; Lutz Dümbgen. Betreuer: Axel Munk." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2014. http://d-nb.info/1054542279/34.

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Sabel, Till Verfasser], Axel [Akademischer Betreuer] [Munk, and Lutz [Akademischer Betreuer] Dümbgen. "Simultaneous Confidence Statements about the Diffusion Coefficient of an Itô-Process with Application to Spot Volatility Estimation / Till Sabel. Gutachter: Axel Munk ; Lutz Dümbgen. Betreuer: Axel Munk." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2014. http://d-nb.info/1054542279/34.

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MBITI, JOHN N. "Deep learning for portfolio optimization." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-104567.

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In this thesis, an optimal investment problem is studied for an investor who can only invest in a financial market modelled by an Itô-Lévy process; with one risk free (bond) and one risky (stock) investment possibility. We present the dynamic programming method and the associated Hamilton-Jacobi-Bellman (HJB) equation to explicitly solve this problem. It is shown that with purification and simplification to the standard jump diffusion process, closed form solutions for the optimal investment strategy and for the value function are attainable. It is also shown that, an explicit solution can be
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Galan, Tomáš. "Měření výkonnosti procesů v podmínkách obchodní společnosti." Master's thesis, Vysoká škola ekonomická v Praze, 2008. http://www.nusl.cz/ntk/nusl-10480.

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Diploma thesis oriented on processes and business process management (BPM) is tightly related to the ability of organizations to adapt to the reality of today's world, reality of continuous and accelerating change. The objective for theoretical part is to summarize main terms, approaches, methods and other information about business process management, reasons for its evolution, business process modeling, execution by personal and other sources and its efficiency, process performance evaluation, to be able to use and apply them in commercial practice on the example of a small business company.
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Král, Filip. "Vliv zralosti business procesů na provoz IT procesů." Master's thesis, Vysoká škola ekonomická v Praze, 2012. http://www.nusl.cz/ntk/nusl-142261.

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The diploma thesis is focused on researching of impact of maturity of enterprise internal environment and business processes outside domain IS/IT on performing IT processes. The thesis is based on the coevolutionary theory from the authors Benbya and McKelvey. The author of this thesis uses maturity models Business Process Maturity Model (BPMM), Process and Enterprise Maturity Model (PEMM) and Control Objectives for Information and Related Technology (COBIT) 4.1 framework for information technology management. The diploma thesis is diveded into three main parts -- the theoretical part, the ana
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Schütz, Martin. "Návrh procesů obchodního oddělení v IT společnosti a měření jejich výkonnosti." Master's thesis, Vysoká škola ekonomická v Praze, 2015. http://www.nusl.cz/ntk/nusl-261830.

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The thesis deals with design of new processes of business department in IT company which provides server hosting, web hosting and domain registration services. These processes come from identification and analysis of current processes and the theory of business department management. Key Performance Indicators (KPIs) were set for selected processes which can be used for managing the company as a whole. Models of processes were created due to EPC notation. New processes were designed to continuously create data in CRM information system providing evidential and information support necessary for
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Barva, Milan. "Návrh na řešení dopadů evropské legislativy na procesy obsluhy zákazníků." Master's thesis, Vysoké učení technické v Brně. Fakulta podnikatelská, 2010. http://www.nusl.cz/ntk/nusl-222427.

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The subject of my diploma thesis is to describe, analyze and quantify the impact of the European legislation on the solutions of IT support, selected processes and to propose steps to manage them. The work analyses present situation and deals with option of optimal solution at using present piece of knowledge. End of my work is go in actual procedure application IT systems, so as effectively support the company process.
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Books on the topic "Itô process"

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Bell, Steve. Lean enterprise systems: Using IT for continuous improvement. Wiley-Interscience, 2006.

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Masya, Japhet K. Budgetary process in Kenya: Enhancement of its public accountability. Institute of Policy Analysis and Research, 2003.

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Bezúch, Bohuslav. Structure of hardwood lignin and its behaviour in kraft pulping. Paper and Pulp Research Institute, 1987.

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Heath, Jean. Nursing process: What is it? NHS Learning Resources Unit, 1985.

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Wilimowska, Zofia. IT models in management process. Edited by Politechnika Wrocławska. Wrocław University of Technology, 2010.

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E, Capetz Paul, ed. The monotheizing process: Its origins and development. Cascade Books, 2014.

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Dowson, A. G. Powder metallurgy: The process and its products. British Powder Metal Federation, 1986.

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Powder metallurgy: The process and its products. A. Hilger, 1990.

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Lientz, Bennet P. Breakthrough strategic IT and process planning. World Scientific Pub., 2010.

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Lientz, Bennet P. Breakthrough strategic IT and process planning. World Scientific, 2010.

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Book chapters on the topic "Itô process"

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Yan, Jia-An. "Itô Process and Diffusion Models." In Universitext. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1657-9_7.

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Gusak, Dmytro, Alexander Kukush, Alexey Kulik, Yuliya Mishura, and Andrey Pilipenko. "Itô stochastic integral. Itô formula. Tanaka formula." In Theory of Stochastic Processes. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-87862-1_13.

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Woyczynski, Wojbor A. "Itô Stochastic Differential Equations." In Diffusion Processes, Jump Processes, and Stochastic Differential Equations. Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781003216759-7.

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Nagasawa, Masao. "The Itô Calculus." In Stochastic Processes in Quantum Physics. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8383-2_16.

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Pilorget, Lionel. "Process Dependencies." In Implementing IT Processes. Springer Fachmedien Wiesbaden, 2015. http://dx.doi.org/10.1007/978-3-658-04773-3_3.

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Kalmpourtzis, George. "The Process Core." In Don't Force It, Solve It! CRC Press, 2022. http://dx.doi.org/10.1201/9781003050445-7.

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Stephen, Mundwiller. "If It Ain’t Broke … Don’t Fix It." In Statistical Process Control. CRC Press, 2017. http://dx.doi.org/10.1201/9781351248518-8.

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Mohapatra, Sanjay. "The Need for BPR and Its History." In Business Process Reengineering. Springer US, 2012. http://dx.doi.org/10.1007/978-1-4614-6067-1_2.

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Oakland, John, and Robert Oakland. "Process capability for variables and its measurement." In Statistical Process Control, 7th ed. Routledge, 2018. http://dx.doi.org/10.4324/9781315160511-10.

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Borodin, Andrei N., and Paavo Salminen. "7. Ornstein–Uhlenbeck Process." In Probability and Its Applications. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8163-0_14.

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Conference papers on the topic "Itô process"

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Luo, Shunlong, Jia-an Yan, and Qiang Zhang. "Arbitrage Pricing Systems in a Market Driven by an Itô Process." In Proceedings of the International Conference on Mathematical Finance. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799579_0022.

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Léandre, R. "Itô formula for an integro-differential operator without an associated stochastic process." In Proceedings of the 7th International ISAAC Congress. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814313179_0030.

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Ray, Asok, and Ravindra Patankar. "Fatigue Crack Propagation Under Variable-Amplitude Load: Part II — A Stochastic Model." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0229.

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Abstract This paper is the second part in a two-part sequence and presents a stochastic model of fatigue crack propagation in metallic materials that are commonly encountered in mechanical structures and machine components of complex systems (e.g., aircraft, spacecraft, ships and submarines, and power plants). The stochastic model is built upon the deterministic state-space model of fatigue crack growth under variable-amplitude load presented in the first part. Predictions of the stochastic model are in agreement with the experimental data for specimens made of 2024-T3 and 7075-T6 aluminum all
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Andriukaitis, D., R. Anilionis, and T. Kersys. "LOCOS CMOS process simulation." In 28th International Conference on Information Technology Interfaces, 2006. IEEE, 2006. http://dx.doi.org/10.1109/iti.2006.1708530.

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Dimitrova, A., T. Georgiev, A. Ratkov, et al. "Modelling of L-lysine purification process." In Proceedings 23rd International Conference Information Technology Interfaces. ITI 2001. IEEE, 2001. http://dx.doi.org/10.1109/iti.2001.938036.

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Corradini, Flavio, Giorgia Meschini, Alberto Polzonetti, and Oliviero Riganelli. "A Rule-Driven Business Process Design." In 2007 29th International Conference on Information Technology Interfaces. IEEE, 2007. http://dx.doi.org/10.1109/iti.2007.4283804.

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Vranesic, Helena, and Lidia Rovan. "Ontology-based data warehouse development process." In Proceedings of the ITI 2009 31st International Conference on Information Technology Interfaces (ITI). IEEE, 2009. http://dx.doi.org/10.1109/iti.2009.5196080.

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Ide, Masahiro, Mikio Aoyama, Tomoko Kishida, and Yasuhiro Kikushima. "An IT-driven business model design methodology and its evaluation." In 2014 IEEE 1st International Workshop on the Interrelations between Requirements Engineering & Business Process Management (REBPM). IEEE, 2014. http://dx.doi.org/10.1109/rebpm.2014.6890729.

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Majid, Masmaria Abdul, Zuriati Janin, and Abdul Aziz Ishak Mohd Nasir Taib. "Temperature control tuning for overdamped process response." In Its Applications (CSPA). IEEE, 2009. http://dx.doi.org/10.1109/cspa.2009.5069267.

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Ismail, Nurlaila, Mohd Hezri Fazalul Rahiman, and Mohd Nasir Taib. "Models for heating process — A review." In its Applications (CSPA). IEEE, 2011. http://dx.doi.org/10.1109/cspa.2011.5759881.

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Reports on the topic "Itô process"

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Matthews, Michael. Pinnacle: The Army's Effort to Reform Its Accession Process. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada543639.

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Hammer, Mary. IT Solution to Improve the Permitting Process. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1079473.

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Zwack, Peter B. Syria and Its Role in the Arab-Israeli Peace Process. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada167384.

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DOE. THE ENGINEERING COMPLIANCE PROGRAM DEVELOPMENT PROCESS AND ITS ROLE IN DESIGN. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/776080.

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Fuchs, Daniela, ed. Co-creation: a challenging process (ITA Dossier No.56en, Dec 2021). Self, 2022. http://dx.doi.org/10.1553/ita-doss-056en.

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Cheung, Yin-Wong, Menzie Chinn, and Eiji Fujii. The Chinese Economies in Global Context: The Integration Process and Its Determinants. National Bureau of Economic Research, 2003. http://dx.doi.org/10.3386/w10047.

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Garcia, Samuel E. The 1973 Yom Kippur War: Its Surfacing Strategies and Ensuring Peace Process. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada283127.

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Chandler, M. C. Nuclear Criticality Safety Bounding Analysis for the In-Tank Precipitation (ITP) Process. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/773928.

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Brauer, Gerhard. The New German Acquisition Process and Its Effects on Test and Evaluation. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada386263.

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Halstead, Ted W. Political Advisors: The Interagency Process As It Should Be. Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada442956.

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