Details
Original language | English |
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Qualification | Doctor rerum naturalium |
Awarding Institution | |
Supervised by |
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Date of Award | 15 Feb 2018 |
Place of Publication | Hannover |
Publication status | Published - 2019 |
Abstract
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Hannover, 2019. 316 p.
Research output: Thesis › Doctoral thesis
}
TY - BOOK
T1 - Stochastic mortality modelling with cointegrated vector autoregressive processes and characterizations of logistic-type hazard rate distributions
AU - Salfeld, Thomas
PY - 2019
Y1 - 2019
N2 - This thesis is devoted to stochastic mortality modelling. The first part considers the popular family of GAPC models and identifies several conceptual difficulties of most well-established models. The GAPC models are embedded in the framework of generalized linear models. However, the vast majority of the literature only considers the canonical link function and by that omits an important modelling factor. In our study, we also incorporate a non-canonical link function and demonstrate its advantages on the fitting performance. While the first part focuses on the static component of the modelling approach, where the main objective is to identify the influencing factors that drive the mortality structure, the second part is devoted to the dynamical part of the modelling approach. For the proposed model we identify appropriate multivariate stochastic processes for the dynamics of the involved stochastic factors. We study cointegration relations between the individual components and compare the forecasting performance with the common GAPC approach. The last part of this thesis can be considered independently of the previous content. There, we provide an extensive characterization of the lifetime distribution which is induced by logistic-type hazard rates of the proposed Kannisto model. Furthermore, we reveal multiple connections to other well-known lifetime distributions.
AB - This thesis is devoted to stochastic mortality modelling. The first part considers the popular family of GAPC models and identifies several conceptual difficulties of most well-established models. The GAPC models are embedded in the framework of generalized linear models. However, the vast majority of the literature only considers the canonical link function and by that omits an important modelling factor. In our study, we also incorporate a non-canonical link function and demonstrate its advantages on the fitting performance. While the first part focuses on the static component of the modelling approach, where the main objective is to identify the influencing factors that drive the mortality structure, the second part is devoted to the dynamical part of the modelling approach. For the proposed model we identify appropriate multivariate stochastic processes for the dynamics of the involved stochastic factors. We study cointegration relations between the individual components and compare the forecasting performance with the common GAPC approach. The last part of this thesis can be considered independently of the previous content. There, we provide an extensive characterization of the lifetime distribution which is induced by logistic-type hazard rates of the proposed Kannisto model. Furthermore, we reveal multiple connections to other well-known lifetime distributions.
U2 - 10.15488/4321
DO - 10.15488/4321
M3 - Doctoral thesis
CY - Hannover
ER -