Central limit theorems and statistical inference for some random graph models
Random graphs and networks are of great importance in any fields including mathematics, computer science, statistics, biology and sociology. This research aims to develop statistical theory and methods of statistical inference for random graphs in novel directions. A major strand of the research is...
| Main Author: | |
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
2015
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| Online Access: | https://eprints.nottingham.ac.uk/29294/ |
| _version_ | 1848793756421062656 |
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| author | Baaqeel, Hanan |
| author_facet | Baaqeel, Hanan |
| author_sort | Baaqeel, Hanan |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Random graphs and networks are of great importance in any fields including mathematics, computer science, statistics, biology and sociology. This research aims to develop statistical theory and methods of statistical inference for random graphs in novel directions. A major strand of the research is the development of conditional goodness-of-fit tests for random graph models and for random block graph models. On the theoretical side, this entails proving a new conditional central limit theorem for a certain graph statistics, which are closely related to the number of two-stars and the number of triangles, and where the conditioning is on the number of edges in the graph. A second strand of the research is to develop composite likelihood methods for estimation of the parameters in exponential random graph models. Composite likelihood methods based on edge data have previously been widely used. A novel contribution of the thesis is the development of composite likelihood methods based on more complicated data structures. The goals of this PhD thesis also include testing the numerical performance of the novel methods in extensive simulation studies and through applications to real graphical data sets. |
| first_indexed | 2025-11-14T19:05:21Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-29294 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T19:05:21Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-292942025-02-28T11:35:51Z https://eprints.nottingham.ac.uk/29294/ Central limit theorems and statistical inference for some random graph models Baaqeel, Hanan Random graphs and networks are of great importance in any fields including mathematics, computer science, statistics, biology and sociology. This research aims to develop statistical theory and methods of statistical inference for random graphs in novel directions. A major strand of the research is the development of conditional goodness-of-fit tests for random graph models and for random block graph models. On the theoretical side, this entails proving a new conditional central limit theorem for a certain graph statistics, which are closely related to the number of two-stars and the number of triangles, and where the conditioning is on the number of edges in the graph. A second strand of the research is to develop composite likelihood methods for estimation of the parameters in exponential random graph models. Composite likelihood methods based on edge data have previously been widely used. A novel contribution of the thesis is the development of composite likelihood methods based on more complicated data structures. The goals of this PhD thesis also include testing the numerical performance of the novel methods in extensive simulation studies and through applications to real graphical data sets. 2015-07-15 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/29294/1/Hanan%20Thesis%202015.pdf Baaqeel, Hanan (2015) Central limit theorems and statistical inference for some random graph models. PhD thesis, University of Nottingham. |
| spellingShingle | Baaqeel, Hanan Central limit theorems and statistical inference for some random graph models |
| title | Central limit theorems and statistical inference for some random graph models |
| title_full | Central limit theorems and statistical inference for some random graph models |
| title_fullStr | Central limit theorems and statistical inference for some random graph models |
| title_full_unstemmed | Central limit theorems and statistical inference for some random graph models |
| title_short | Central limit theorems and statistical inference for some random graph models |
| title_sort | central limit theorems and statistical inference for some random graph models |
| url | https://eprints.nottingham.ac.uk/29294/ |