by Terry Shing-fong Lew. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1994. / Includes bibliographical references (leaves 40-42). / Chapter Chapter 1 --- Introduction --- p.Page1 / Chapter Chapter 2 --- Measures of Association for Polytomous Variables --- p.Page5 / Chapter §2.1 --- "Notations," --- p.5 / Chapter §2.2 --- "Pearson Product-moment Correlation Coefficient," --- p.6 / Chapter §2.3 --- "Spearman Rank Correlation Coefficient," --- p.7 / Chapter §2.4 --- "Kendall's Tau-b," --- p.9 / Chapter §2.5 --- "Polychoric Correlation Coefficient," --- p.9 / Chapter Chapter 3 --- Monte Carlo Study of Measures of Association for Polytomous Variables with Multivariate Normal Distribution --- p.Page 13 / Chapter §3.1 --- "Design," --- p.13 / Chapter §3.2 --- "Results and Findings," --- p.18 / Chapter §3.3 --- "Discussion," --- p.23 / Chapter §3.4 --- "Implications," --- p.26 / Chapter Chapter 4 --- Monte Carlo Studies for Polytomous Variables with Non-normal Distribution --- p.Page 27 / Chapter §4.1 --- "Elliptica1-t Distribution," --- p.27 / Chapter §4.2 --- "Design," --- p.28 / Chapter §4.3 --- "Results and Findings," --- p.30 / Chapter §4.4 --- "Discussion," --- p.33 / Chapter §4.5 --- "Implications," --- p.34 / Chapter Chapter 5 --- Conclusion --- p.Page36 / References --- p.Page40 / Figures --- p.Page43 / Tables --- p.Page51

by Mannon Wong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 42-47). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Maximum Likelihood Estimations of Polyserial Correlations --- p.7 / Chapter 3 --- Normal Curvature and the Conformal Normal Curvature of Lo- cal Influence --- p.12 / Chapter 3.1 --- Normal Curvature --- p.14 / Chapter 3.2 --- Conformal Normal Curvature as an Influential Measure --- p.16 / Chapter 4 --- Influential Observations in the Estimations of Polyserial Corre- lations and the Thresholds --- p.18 / Chapter 4.1 --- Case-weights perturbation --- p.18 / Chapter 4.2 --- "Observations Influencing the Estimates of = (μ, Σ, ε，T)" --- p.20 / Chapter 4.3 --- "Observations Influencing the Estimates of θ1 = （(μ, Σ)" --- p.25 / Chapter 4.4 --- Observations Influencing the Estimates of θ2 = （(ε，T) --- p.27 / Chapter 5 --- Examples --- p.28 / Chapter 5.1 --- Cox's Data --- p.28 / Chapter 5.2 --- Aids Data --- p.32 / Chapter 5.3 --- Simulation Data --- p.35 / Chapter 6 --- Discussion --- p.38 / Chapter 7 --- References --- p.42 / Chapter A --- Appendix I --- p.48 / Chapter B --- Appendix II --- p.50 / Chapter C --- Appendix III --- p.73

Yiu Choi Fan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 69-71). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.iii / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Estimation with Known Misclassification Probabilities --- p.7 / Chapter 2.1 --- Model --- p.7 / Chapter 2.2 --- Maximum Likelihood Estimation --- p.9 / Chapter 2.3 --- Standard Errors of the Parameter Estimates --- p.12 / Chapter 3 --- Numerical Examples (I) --- p.13 / Chapter 3.1 --- Analysis of Real Data --- p.13 / Chapter 3.2 --- Analysis of Artificial Data --- p.16 / Chapter 4 --- Simulation Study (I) --- p.19 / Chapter 4.1 --- Simulation Algorithm --- p.19 / Chapter 4.2 --- Simulation Design --- p.20 / Chapter 4.3 --- Reported Statistics --- p.21 / Chapter 4.4 --- Conclusions of Simulation Results --- p.22 / Chapter 5 --- Estimation by Double Sampling Scheme --- p.24 / Chapter 5.1 --- Introduction of Double Sampling Scheme --- p.24 / Chapter 5.2 --- Model --- p.25 / Chapter 5.3 --- Minimum Chi-square Estimation --- p.26 / Chapter 5.4 --- Statistical Properties of the Parameter Estimates --- p.28 / Chapter 6 --- Numerical Examples (II) --- p.30 / Chapter 6.1 --- "Analysis of Real Data, (2x2 Table)" --- p.30 / Chapter 6.2 --- Analysis of Artificial Data (3x3 Table) --- p.32 / Chapter 7 --- Simulation Study (II) --- p.34 / Chapter 7.1 --- Simulation Algorithm --- p.34 / Chapter 7.2 --- Simulation Design --- p.35 / Chapter 7.3 --- Reported Statistics --- p.37 / Chapter 7.4 --- Conclusions of Simulation Results --- p.38 / Chapter 8 --- Conclusions --- p.39 / Appendices --- p.42 / Chapter A.1 --- The proof of the expression for P(Zj = Ehk) --- p.42 / Chapter A.2 --- The proof of puv and whk{uv) --- p.44 / Chapter A.3 --- The proof of the covariance matrix Q --- p.47 / Chapter A.4 --- The proof of the matrix Σ --- p.52 / Tables A1-A9 --- p.54 / Tables B1-B6 --- p.63 / Bibliography --- p.69

Ho, Yuk Kwan = 粒子鏈的布朗運動 : 相互關係時間之探討 / 何煜坤. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (p. 82-84). / Abstracts in English and Chinese. / Ho, Yuk Kwan = Li zi lian de Bulang yun dong : xiang hu guan xi shi jian zhi tan tao / He Yukun. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Historical background --- p.1 / Chapter 1.2 --- Motivation --- p.4 / Chapter 2 --- Modelling of the system of the particle chain --- p.6 / Chapter 2.1 --- Interactions between the particles --- p.7 / Chapter 2.2 --- Assumptions of the Brownian force --- p.10 / Chapter 3 --- Time evolution of the probability distribution --- p.14 / Chapter 3.1 --- Diffusion under a uniform external force field --- p.14 / Chapter 3.2 --- Multi-dimensional Fokker-Planck equation --- p.18 / Chapter 3.3 --- Fundamental solution to the Fokker-Planck equation --- p.21 / Chapter 3.3.1 --- Fulfillment of the Fokker-Planck equation by the stochas- tic process described by the Langevin equation --- p.21 / Chapter 3.3.2 --- Gaussian process of the stochastic process in the system --- p.24 / Chapter 3.4 --- Relaxation of the fluctuations and the variances of the system --- p.27 / Chapter 3.4.1 --- Dependence of system parameters - study of a two-body system --- p.27 / Chapter 3.4.2 --- Dependence of system size --- p.33 / Chapter 4 --- Time evolution of the correlation function --- p.36 / Chapter 4.1 --- Method of Rice - harmonic analysis --- p.38 / Chapter 4.1.1 --- Natural mode expansion of the correlation functions --- p.41 / Chapter 4.1.2 --- Satisfaction of the equipartition principle --- p.44 / Chapter 4.2 --- Relaxation of the correlation functions --- p.45 / Chapter 4.2.1 --- Dependence of system parameters - study of a two body system --- p.46 / Chapter 4.2.2 --- Dependence of system size --- p.50 / Chapter 4.3 --- Connection with relaxation modes of fluctuations and variances --- p.53 / Chapter 5 --- Coloured Brownian force --- p.58 / Chapter 5.1 --- Fluctuation-dissipation theorem --- p.59 / Chapter 5.2 --- The system of a large particle with a particle chain --- p.64 / Chapter 5.2.1 --- Equivalent heat bath with which the large particleis interacting --- p.67 / Chapter 5.2.2 --- Retarded friction from its underlying physical origin --- p.71 / Chapter 5.2.3 --- Effective random force of the heat bath and its underly- ing physical origin --- p.73 / Chapter 5.2.4 --- Displacement correlation function for the large particle interacting with the heat bath --- p.77 / Chapter 6 --- Conclusion --- p.81 / Bibliography --- p.82 / Chapter A --- Magnetic force between two magnetic dipoles --- p.85 / Chapter B --- Hydrodynamic interaction --- p.88 / Chapter B.l --- Faxen´ةs Law --- p.90 / Chapter B.2 --- Method of reflection --- p.92 / Chapter B.3 --- Interactions between three translating identical spheres --- p.94 / Chapter C --- Proof of the cross-correlation theorem and Wiener-Kintchine theorem --- p.97 / Chapter D --- Proof of the relation between θ(t) and β(t) in Eq. 5.42 --- p.99 / Chapter E --- Proof of the zero-value of k in Eq. 5.60 --- p.101

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Thesis (Ph. D.)--University of Washington, 2002. / Vita. Includes bibliographical references (p. 170-182).

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Thesis (Ph. D.)--University of Hawaii at Manoa, 1990. / Includes bibliographical references (leaves 94-95) / Microfiche. / vii, 95 leaves, bound 29 cm