Monash University
Browse

Embargoed and Restricted Access

Reason: Under embargo until June 2024. After this date a copy can be supplied under Section 51(2) of the Australian Copyright Act 1968 by submitting a document delivery request through your library.

Two-step Approximate Bayesian Computation for inferring network models using Copula

thesis
posted on 2023-06-20, 04:12 authored by YUQIN KE
In this thesis we first give a brief review of the ABC method. Then we propose a two-step method for parameter inference based on Rejection ABC and MCMC ABC algorithms with Gaussian copula for early rejection. Moreover, we present several examples of network models to compare our strategy with conventional ABC methods. The first proposed algorithm based on Rejection ABC algorithm is evaluated by an exact model, a deterministic model and two stochastic models. The second proposed algorithm based on MCMC ABC is evaluated by an exact model and two deterministic models. Numerical results show that our methods are efficient.

History

Principal supervisor

Tianhai Tian

Year of Award

2023

Department, School or Centre

Mathematics

Course

Doctor of Philosophy

Degree Type

DOCTORATE

Faculty

Faculty of Science

Usage metrics

    Faculty of Science Theses

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC