by Fung Siu-kwong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 61-62). / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Independently distributed spheres with constant radius --- p.5 / Chapter 2.1 --- The method of moment estimator of R --- p.6 / Chapter 2.2 --- Maximum likelihood estimator of R --- p.7 / Chapter 2.3 --- Mean squared errors of the estimators of R --- p.7 / Chapter 2.4 --- Confidence interval of R .。 --- p.14 / Chapter 3 --- Dependently distributed spheres with the constant radius --- p.17 / Chapter 3.1 --- Gibbs Sampler --- p.18 / Chapter 3.2 --- Model based on simulating spatial patterns --- p.20 / Chapter 3.3 --- Algorithm --- p.23 / Chapter 3.4 --- Explanation of the algorithm --- p.24 / Chapter 3.5 --- Posterior distribution of R --- p.28 / Chapter 3.6 --- The number of spheres is unknown --- p.30 / Chapter 3.7 --- Boundary Effect --- p.31 / Chapter 4 --- Simulation Study --- p.32 / Chapter 4.1 --- Determination of the convergence of the Gibbs sequence --- p.33 / Chapter 4.2 --- Comparison between Rbay and RadjMLE --- p.35 / Chapter 4.2.1 --- The number of spheres is known --- p.37 / Chapter 4.2.2 --- The number of sphere is unknown --- p.41 / Chapter 4.2.3 --- Boundary effect --- p.45 / Chapter 5 --- Extension and Conclusion --- p.53 / Chapter 5.1 --- Extension on the simulation algorithm --- p.53 / Chapter 5.2 --- Extension to the case of varied radius --- p.56 / Chapter 5.2.1 --- Modified Algorithm --- p.57 / Chapter 5.2.2 --- An artificial example --- p.58 / Bibliography --- p.61
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_320556 |
| Date | January 1995 |
| Contributors | Fung, Siu-kwong., Chinese University of Hong Kong Graduate School. Division of Statistics. |
| Publisher | Chinese University of Hong Kong |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, iii, 62 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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