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Aspects of modelling stochastic volatilityTsang, Wai-yin, 曾慧賢 January 2000 (has links)
published_or_final_version / Statistics and Actuarial Science / Master / Master of Philosophy
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Stochastic model of extreme coastal water levels, New South Wales, AustraliaBurston, Joanna. January 2008 (has links)
Thesis (Ph. D.)--University of Sydney, 2008. / Title from title screen (viewed February 12, 2009). Includes graphs and tables. Submitted in fulfilment of the requirements for the degree of Doctor of Philosophy to the School of Geosciences, Faculty of Science. Includes bibliographical references. Also available in print form.
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Aspects of modelling stochastic volatility /Tsang, Wai-yin, January 2000 (has links)
Thesis (M. Phil.)--University of Hong Kong, 2000. / Includes bibliographical references (leaves 129-141).
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Stochastic and simulation models of maritime intercept operations capabilitiesSato, Hiroyuki. January 2005 (has links) (PDF)
Thesis (M.S. in Operations Research)--Naval Postgraduate School, December 2005. / Thesis Advisor(s): Patricia A. Jacobs, Donald P. Gaver. Includes bibliographical references (p.117-119). Also available online.
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Applications of stochastic analysis to sequential CUSUM procedures23 February 2010 (has links)
Ph.D.
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Bayesian analysis of stochastic constraints in structural equation model with polytomous variables in serveral groups.January 1990 (has links)
by Tung-lok Ng. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1990. / Bibliography: leaves 57-59. / Chapter Chapter 1 --- Introduction --- p.1 / Chapter Chapter 2 --- Full Maximum Likelihood Estimation of the General Model --- p.4 / Chapter 2.1 --- Introduction --- p.4 / Chapter 2.2 --- Model --- p.4 / Chapter 2.3 --- Identification of the model --- p.5 / Chapter 2.4 --- Maximum likelihood estimation --- p.7 / Chapter 2.5 --- Computational Procedure --- p.12 / Chapter 2.6 --- Tests of Hypothesis --- p.13 / Chapter 2.7 --- Example --- p.14 / Chapter Chapter 3 --- Bayesian Analysis of Stochastic Prior Information --- p.17 / Chapter 3.1 --- Introduction --- p.17 / Chapter 3.2 --- Bayesian Analysis of the general model --- p.18 / Chapter 3.3 --- Computational Procedure --- p.22 / Chapter 3.4 --- Test the Compatibility of the Prior Information --- p.24 / Chapter 3.5 --- Example --- p.25 / Chapter Chapter 4 --- Simulation Study --- p.27 / Chapter 4.1 --- Introduction --- p.27 / Chapter 4.2 --- Simulation1 --- p.27 / Chapter 4.3 --- Simulation2 --- p.30 / Chapter 4.4 --- Summary and Discussion --- p.31 / Chapter Chapter 5 --- Concluding Remarks --- p.33 / Tables / References --- p.57
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White noise analysis and stochastic evolution equationsSorensen, Julian Karl. January 2001 (has links) (PDF)
Bibliography: leaves 127-128.
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Stochastic analysis of complex nonlinear system response under narrowband excitationsShih, I-Ming 10 June 1998 (has links)
Response behavior of a nonlinear structural system subject to environmental loadings
is investigated in this study. The system contains a nonlinear restoring force due to large
geometric displacement. The external excitation is modeled as a narrowband stochastic
process possessing dynamic characteristics of typical environmental loadings.
A semi-analytical method is developed to predict the stochastic nonlinear response
behavior under narrowband excitations in both the primary and the subharmonic resonance
regions. Preservation of deterministic response characteristics under the narrowband random
field is assumed. The stochastic system response induced by variations in the narrowband
excitations is considered as a sequence of successive transient states.
Due to the system nonlinearity, under a combination of excitation conditions, several
response attraction domains may co-exist. Presence of co-existence of attraction domains and
variations in the excitation amplitude often induce complex response inter-domain transitions.
The response characteristics are found to be attraction domain dependent. Among different
response attraction domains, their corresponding response amplitude domains overlap. In
addition, within an individual attraction domain, response amplitude domains corresponding
to different excitation amplitudes also overlap. Overlapping of response amplitude domains
and the time-dependent variations in the excitation parameters induce response intra-domain
transitions.
Stationary Markovian assumption is employed to characterize the stochastic behavior of the response amplitude process and the excitation parameter processes. Based on the stochastic excitation properties and the deterministic response characteristics, governing equations of the response amplitude probability inter- and intra-domain transitions are formulated. Numerical techniques and an iteration procedure are employed to evaluate the stationary response amplitude probability distribution.
The proposed semi-analytical method is validated by extensive numerical simulations. The capability of the method is demonstrated by good agreements among the predicted response amplitude distributions and the simulation results in both the primary and the subharmonic resonance regions. Variations in the stochastic response behavior under varying excitation bandwidth and variance are also predicted accurately. Repeated occurrences of various subharmonic responses observed in the numerical simulations are taken into account in the proposed analysis. Comparisons of prediction results with those obtained by existing analytical methods and simulation histograms show that a significant improvement in the prediction accuracy is achieved. / Graduation date: 1999
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Stochastic analysis of a nonlinear ocean structural systemLin, Huan 02 December 1994 (has links)
Stochastic analysis procedures have been recently applied to analyze nonlinear
dynamical systems. In this study, nonlinear responses, stochastic and/or chaotic, are
examined and interpreted from a probabilistic perspective. A multi-point-moored
ocean structural system under regular and irregular wave excitations is analytically
examined via a generalized stochastic Melnikov function and Markov process
approach. Time domain simulations and associated experimental observations are
employed to assist in the interpretation of the analytical predictions.
Taking into account the presence of random noise, a generalized stochastic
Melnikov function associated with the corresponding averaged system, where a
homoclinic connection exists near the primary resonance, is derived. The effects of
random noise on the boundary of regions of possible existence of chaotic response
is demonstrated via a mean-squared Melnikov criterion.
The random wave field is approximated as random perturbations on regular
and nearly regular (with very narrow-band spectrum) waves by adding a white noise
component, or using a filtered white noise process to fit the JONSWAP spectrum.
A Markov process approach is then applied explicitly to analyze the response.
The evolution of the probability density function (PDF) of nonlinear stochastic
response under the Markov process approach is characterized by a deterministic
partial differential equation called the Fokker-Planck equation, which in this study is
solved by a path integral solution procedure. Numerical evaluation of the path
integral solution is based on path sum, and the short-time propagator is discretized
accordingly. Short-time propagation is performed by using a fourth order Runge-Kutta scheme to calculate the most probable (i.e. mean) position in the phase space
and to establish the fact that discrete contributions to the random response are locally
Gaussian. Transient and steady-state PDF's can be obtained by repeat application of
the short-time propagation.
Based on depictions of the joint probability density functions and time domain
simulations, it is observed that the presence of random noise may expedite the
occurrence of "noisy" chaotic response. The noise intensity governs the transition
among various types of stochastic nonlinear responses and the relative strengths of
coexisting response attractors. Experimental observations confirm the general
behavior depicted by the analytical predictions. / Graduation date: 1995
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Taxation and dividend policies with stochastic earnings /McGee, Manley Kevin, January 1983 (has links)
Thesis (Ph. D.)--Ohio State University, 1983. / Includes vita. Includes bibliographical references (leaves 80-81). Available online via OhioLINK's ETD Center.
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