Teaching GuideTerm
Faculty of Computer Science
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Grao en Ciencia e Enxeñaría de Datos
 Subjects
  Statistical Analysis of Complex Data
   Contents
Topic Sub-topic
Introduction to missing data Challenges and problems with missing data
Missing data mechanisms: missing at random (MAR) and missing completely at random (MCAR)
The consequences of discarding missing data
Imputation methods Mean imputation
Single imputation methods
Maximum likelihood multiple imputation under MAR
Expectation{Maximization (EM) algorithm
Multiple imputation methods under MAR
Introduction to functional data Motivation and examples
Functional data registration and smoothing
Metrics and semimetrics for functional data
Representing functional data: basis expansions
Functional data analysis Estimation of mean and covariance operator
On the concept of depth for functional data: functional anomaly detection
Functional principal component analysis
Functional linear models
Censored data Missing data and censoring
The consequences of discarding censored data
Parametric estimation for censored data
Nonparametric estimation for censored data: the Kaplan-Meier estimator
Cox model: conditional survival
Biased data Selection bias: length, time and size
The consequences of disregarding bias
Mean and variance estimation for biased data
Likelihood principle for biased data
Situations with unspecified bias function
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