Exact test for an epidemic change in a sequence of exponentially distributed random variables.

• Other Authors: Lai, Kim Fung.
• Format: Others
• Language: English; Chinese
• Published: 2005
• Subjects: Change-point problems; Sequences (Mathematics); Random variables
• Online Access: http://library.cuhk.edu.hk/record=b5892497; http://repository.lib.cuhk.edu.hk/en/item/cuhk-325353

Lai Kim Fung. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. === Includes bibliographical references (leaves 55-57). === Abstracts in English and Chinese. === Chapter 1 --- Introduction --- p.1 === Chapter 2 --- Likelihood Ratio Test Statistic --- p.6 === Chapter 2.1 --- Introduction --- p.6 === Chapter 2.2 --- Formulation --- p.6 === Chapter 2.3 --- Likelihood Ratio Type Statistic --- p.7 === Chapter 2.4 --- Dirichlet Distribution --- p.8 === Chapter 2.5 --- Edgeworth Expansion --- p.12 === Chapter 3 --- Divided Difference --- p.15 === Chapter 3.1 --- Introduction --- p.15 === Chapter 3.2 --- Definition of Divided Difference --- p.15 === Chapter 3.3 --- Theorem --- p.17 === Chapter 3.4 --- Proof of the Theorem --- p.18 === Chapter 3.5 --- Application of Theorem --- p.19 === Chapter 4 --- Computational Results --- p.22 === Chapter 4.1 --- Introduction --- p.22 === Chapter 4.2 --- Critical Values for Moderate and Large Sample Sizes --- p.22 === Chapter 4.3 --- Critical Values for Small Sample Sizes --- p.23 === Chapter 4.3.1 --- Exact Critical Values --- p.23 === Chapter 4.3.2 --- Edgeworth Expansion Results --- p.23 === Chapter 4.3.3 --- Simulation Results --- p.23 === Chapter 4.4 --- Power --- p.24 === Chapter 5 --- Illustrative Examples --- p.29 === Chapter 5.1 --- Stanford Heart Transplant Data --- p.29 === Chapter 5.1.1 --- The Data --- p.29 === Chapter 5.1.2 --- Result --- p.31 === Chapter 5.2 --- Air Conditioning Data --- p.31 === Chapter 5.2.1 --- The Data --- p.31 === Chapter 5.2.2 --- Result --- p.32 === Chapter 5.3 --- Insulating Fluid Failure Data --- p.33 === Chapter 5.3.1 --- The Data --- p.33 === Chapter 5.3.2 --- Result --- p.33 === Chapter 6 --- Conclusion and Further Research Topic --- p.35 === Chapter 6.1 --- Conclusion --- p.35 === Chapter 6.2 --- Further Research Topic --- p.38 === Appendix A --- p.39 === Appendix B --- p.46 === Bibliography --- p.55