Visão Geral
Este curso aborda os fundamentos da estatística aplicados à atuária, com foco na análise de dados, inferência estatística e modelagem de riscos. O participante aprenderá a utilizar métodos estatísticos para interpretar informações, apoiar decisões atuariais e construir modelos relevantes para seguros, previdência e finanças.
Conteúdo Programatico
Module 1: Introduction to Statistics for Actuarial Science
- Role of statistics in actuarial science
- Types of data and measurement scales
- Data collection methods
- Overview of statistical analysis
Module 2: Descriptive Statistics
- Measures of central tendency
- Measures of dispersion
- Data visualization techniques
- Exploratory data analysis
Module 3: Probability Distributions
- Discrete distributions (binomial, Poisson)
- Continuous distributions (normal, exponential)
- Distribution properties
- Applications in actuarial modeling
Module 4: Sampling and Estimation
- Sampling methods
- Point estimation
- Interval estimation
- Bias and consistency
Module 5: Hypothesis Testing
- Null and alternative hypotheses
- Test statistics
- p-values and significance levels
- Common statistical tests
Module 6: Regression Analysis
- Simple linear regression
- Multiple regression basics
- Model assumptions
- Interpretation of results
Module 7: Time Series and Forecasting
- Time series components
- Trend and seasonality
- Forecasting methods
- Applications in actuarial contexts
Module 8: Statistical Modeling in Actuarial Science
- Model selection
- Goodness-of-fit tests
- Risk modeling applications
- Case studies in insurance and finance