Certificate in Math Competition for Actuaries
-- ViewingNowThe Certificate in Math Competition for Actuaries is a comprehensive course designed to enhance your mathematical skills and prepare you for competitive actuarial exams. This course is crucial in the current industry landscape, where employers seek professionals with a strong mathematical background and problem-solving abilities.
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โข Probability Theory: Concepts of probability, conditional probability, independence, and Bayes' theorem. Random variables, probability distributions, and density functions. Moments and moment-generating functions.
โข Statistical Inference: Point and interval estimation, hypothesis testing, and confidence intervals. Likelihood ratio tests and chi-square tests. Maximum likelihood estimation, method of moments, and Bayesian estimation.
โข Stochastic Processes: Discrete and continuous-time Markov chains, Poisson processes, and Brownian motion. Renewal theory, martingales, and Markov properties.
โข Multivariate Analysis: Multivariate normal distribution, multivariate regression, and multivariate hypothesis testing. Canonical correlation analysis, discriminant analysis, and factor analysis.
โข Time Series Analysis: Autoregressive (AR), moving average (MA), and autoregressive moving average (ARMA) models. Seasonal ARIMA (SARIMA) models, spectral analysis, and unit root tests.
โข Survival Analysis: Hazard functions, survival functions, and cumulative incidence functions. Non-parametric and semi-parametric estimation, Cox proportional hazards models, and competing risks.
โข Optimization Techniques: Linear programming, integer programming, and dynamic programming. Gradient descent, Newton's method, and quasi-Newton methods.
โข Simulation and Monte Carlo Methods: Random number generation, inverse transform method, acceptance-rejection method. Variance reduction techniques and importance sampling.
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