This thesis focuses on the dynamics of benefit receipt in the Ontario Disability Support Program (ODSP) using individual-level administrative data from 2003 to 2013. This thesis is comprised of three self-contained essays. The first essay examines the dynamics of disability benefit receipt in Ontario. A five-year cohort analysis is carried out for those who first received disability benefits in any year between 2004 and 2009 to estimate the proportion exiting from such benefits within five years of first benefit receipt. This analysis is extended to type of exit (e.g., died, moved, or disqualified) and nature of exit (e.g., sustained or temporary). We find that only about 18 percent of benefit recipients exit, most within one and a half years of initial benefit receipt, and that more than one-third of those who exit return within five years. Recipients are both less likely to exit and more likely to return if single, divorced, or widowed rather than married or living common law, if they have children, or if they have mental rather than physical disabilities. The second essay identifies factors that influence ODSP benefits duration. We employ a flexible parametric technique to investigate the duration of disability benefit receipt. We also employ cure models to account for the proportion of recipients that never exit ODSP over the ten-year sample period. Of the whole sample, 20 percent of recipients completed a first spell and the remaining 80 percent were right censored. We find that time spent receiving ODSP benefits is negatively associated with education and positively associated with both age and severity of disability. Individuals who are single, divorced, separated, widowed, or immigrants have longer benefit spells as compared to those who are married, common law, and Canadian born. Individuals with children also spend longer time on ODSP than those relative without children. We provide evidence that recipient characteristics are associated with different probabilities of exiting or re-entering ODSP; that suggests that differentiated, and not ‘one size fit all’, policies are required to facilitate transitions from program dependence to economic independence. The third essay analyzes differences in the benefit receipt rates by immigration status and age. A flexible parametric duration analysis is employed to investigate how age at entry into benefits interacted with immigration status and, for immigrants, how age at arrival in Canada affects the exit rate from disability support. We find strong evidence of differences in age-dependence of benefit receipt and exit rates across immigration status categories. At younger (18-34) and middle (35-54) ages the Canadian-born have much higher benefit receipt rates than immigrants but lower rates at older (55 and over) ages. We speculate that the difference at younger and middle ages can be explained largely by the “healthy immigrant effect” (i.e., a selection effect of relatively healthier immigrants) and at older ages by differential eligibility for, and expected income from, alternative benefit programs such as the Canada Pension Plan, Old Age Security, and the Guaranteed Income Supplement. / Thesis / Doctor of Philosophy (PhD)

Unemployment in South Africa has continued to be consistently high as indicated by the various reports published by Statistics South Africa. Unemployment is a global problem where in Organisation for Economic Co-operation and Development (OECD) countries it is related to economic condition. The economic conditions are not solely responsible for the problem of unemployment in South Africa. Consistently high unemployment rates are observed irrespective of the level of economic growth, where unemployment responds marginally to changes Gross Domestic Product (GDP). To understand factors that influence unemployment in South Africa, we need to understand the dynamics of the unemployed population. This study aims at providing a statistical tool useful in improving the understanding of the labour market and enhancing of the labour market policy relevancy. Survival techniques are applied to determine duration dependence, probabilities of exiting unemployment, and the association between socio-demographic factors and unemployment duration. A labour force panel data from Statistic South Africa is used to analyse the time it takes an unemployed person to find employment. The dataset has 4.9 million people who were unemployed during the third quarter of 2013. The data is analysed by computing non-parametric and semi-parametric estimates to avoid making assumption about the functional form of the hazard. The results indicate that the hazard of finding employment is reduced as people spend more time in unemployment (negative duration dependence). People who are unemployed for less than six months have higher hazard functions. The hazards of leaving unemployment at any given duration are significantly lower for people in the following categories - females, adults, education level of lower than tertiary, single or divorced, attending school or doing other activities prior to job search and no work experience. The findings suggest an existence of association between demographics and the length of stay in unemployment; which reflect the nature of the labour market. Due to lower exit probabilities young people spent more time unemployed thus growing out of the age group which is more likely to be employed. Seasonal jobs are not convenient for pregnant women and for those with young kids at their care thus decreasing their employment probabilities. Analysis of factors that affect employment probabilities should be based on datasets which have no seasonal components. The findings suggest that the seasonal components on the labour force panel impacted on the results. According to the findings analysis of unemployment durations can be improved by analysing men and women separately. Men and women have different challenges in the labour market, which influence the association between other demographic factors and unemployment duration / Statistics / M. Sc. (Statistics)

Ce mémoire s’intéresse aux modèles de Markov à variables latentes, une famille de modèles dans laquelle une chaîne de Markov latente régit le comportement d’un processus stochastique observable à travers duquel transparaît une version bruitée de la chaîne cachée. Pouvant être vus comme une généralisation naturelle des modèles de mélange, ces processus stochastiques bivariés ont entre autres démontré leur faculté à capter les dynamiques variables de maintes séries chronologiques et, plus spécifiquement en finance, à reproduire la plupart des faits stylisés des rendements financiers. Nous nous intéressons en particulier aux chaînes de Markov à temps discret et à espace d’états fini, avec l’objectif d’étudier l’apport de leurs reformulations hiérarchiques et de la relaxation de l’hypothèse d’homogénéité de la matrice de transition à la qualité de l’ajustement aux données et des prévisions, ainsi qu’à la reproduction des faits stylisés. Nous présentons à cet effet deux structures hiérarchiques, la première permettant une nouvelle interprétation des relations entre les états de la chaîne, et la seconde permettant de surcroît une plus grande parcimonie dans la paramétrisation de la matrice de transition. Nous nous intéressons de plus à trois extensions non-homogènes, dont deux dépendent de variables observables et une dépend d’une autre variable latente. Nous analysons pour ces modèles la qualité de l’ajustement aux données et des prévisions sur la série des log-rendements du S&P 500 et du taux de change Canada-États-Unis (CADUSD). Nous illustrons de plus la capacité des modèles à reproduire les faits stylisés, et présentons une interprétation des paramètres estimés pour les modèles hiérarchiques et non-homogènes. Les résultats obtenus semblent en général confirmer l’apport potentiel de structures hiérarchiques et des modèles non-homogènes. Ces résultats semblent en particulier suggérer que l’incorporation de dynamiques non-homogènes aux modèles hiérarchiques permette de reproduire plus fidèlement les faits stylisés—même la lente décroissance de l’autocorrélation des rendements centrés en valeur absolue et au carré—et d’améliorer la qualité des prévisions obtenues, tout en conservant la possibilité d’interpréter les paramètres estimés. / This master’s thesis is centered on the Hidden Markov Models, a family of models in which an unobserved Markov chain dictactes the behaviour of an observable stochastic process through which a noisy version of the latent chain is observed. These bivariate stochastic processes that can be seen as a natural generalization of mixture models have shown their ability to capture the varying dynamics of many time series and, more specifically in finance, to reproduce the stylized facts of financial returns. In particular, we are interested in discrete-time Markov chains with finite state spaces, with the objective of studying the contribution of their hierarchical formulations and the relaxation of the homogeneity hypothesis for the transition matrix to the quality of the fit and predictions, as well as the capacity to reproduce the stylized facts. We therefore present two hierarchical structures, the first allowing for new interpretations of the relationships between states of the chain, and the second allowing for a more parsimonious parameterization of the transition matrix. We also present three non-homogeneous models, two of which have transition probabilities dependent on observed explanatory variables, and the third in which the probabilities depend on another latent variable. We first analyze the goodness of fit and the predictive power of our models on the series of log returns of the S&P 500 and the exchange rate between canadian and american currencies (CADUSD). We also illustrate their capacity to reproduce the stylized facts, and present interpretations of the estimated parameters for the hierarchical and non-homogeneous models. In general, our results seem to confirm the contribution of hierarchical and non-homogeneous models to these measures of performance. In particular, these results seem to suggest that the incorporation of non-homogeneous dynamics to a hierarchical structure may allow for a more faithful reproduction of the stylized facts—even the slow decay of the autocorrelation functions of squared and absolute returns—and better predictive power, while still allowing for the interpretation of the estimated parameters.