Thesis (Ph.D. (Statistics)) -- University of Limpopo, 2022 / This thesis is based on application of frailty and copula models to under five
child mortality data set in South Africa. The main purpose of the study was to
apply sample splitting techniques in a survival analysis setting and compare
clustered survival models considering left truncation to the under five child
mortality data set in South Africa. The major contributions of this thesis is in
the application of the shared frailty model and a class of Archimedean copulas
in particular, Clayton-Oakes copula with completely monotone generator, and
introduction of sample splitting techniques in a survival analysis setting.
The findings based on shared frailty model show that clustering effect was sig nificant for modelling the determinants of time to death of under five children,
and revealed the importance of accounting for clustering effect. The conclusion
based on Clayton-Oakes model showed association between survival times of
children from the same mother. It was found that the parameter estimates for
the shared frailty and the Clayton-Oakes models were quite different and that
the two models cannot be comparable. Gender, province, year, birth order and
whether a child is part of twin or not were found to be significant factors affect ing under five child mortality in South Africa. / NRF-TDG
Flemish Interuniversity Council
Institutional corporation (VLIR-IUC) VLIR-IUC Programme of the University of Limpopo
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:ul/oai:ulspace.ul.ac.za:10386/4167 |
| Date | January 2022 |
| Creators | Mulaudzi, Tshilidzi Benedicta |
| Contributors | Kifle, Yehenew, G., Braekers, Roel, Lesaoana, M. |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | xiii, 135 leaves |
| Relation |
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