Essays in Econometrics with Applications
Abstract
This thesis presents three essays in econometrics with applications. The common
denominator in the three essays is that of modeling heterogeneity in the observed data.
Chapter 1 offers a general introduction to the thesis to motivate the research, as well
as provide some background knowledge on the theoretical foundations of the models used
in subsequent chapters. In particular, Chapter 2 and 3 uses the stochastic frontier model
and Chapter 4 uses the life-cycle model. The chapter is concluded by describing how
modeling heterogeneity is relevant to both models.
In Chapter 2 and 3, the perspective with which we model heterogeneity is from the
point of view of the Econometrician. In particular, the objective is to model heterogeneity
by uncovering the latent group structures that are unobserved by the Econometrician.
Modeling heterogeneity by clustering entities into groups is appealing from statistical
point of view, as it allows us to mitigate over-fitting issues and specify a parsimonious
model.
In Chapter 4, we take a slightly different perspective to modeling heterogeneity, taking
the point of view of an economic agent in a structural model. In particular, we let
agents in the structural model face uncertainty about their latent type that they belong
to. Knowledge of type matters for agents as they are struck by shocks that depend on
their type, ultimately influencing their life-cycle decisions. We let agents learn their type
conditional on the history of shocks they receive and study how such learning about type
influence their life-cycle profiles.
The general conclusion of the thesis is presented in Chapter 5.
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