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PSTAT 160B: Applied Stochastic Processes
4.00 Credits
University of California-Santa Barbara
Continuous models. Review of continuous probability and simulation of continuous random variables. Continuous time stochastic processes: Poisson process, Markov chains, Brownian motion, including simulation of these processes. Applications to Black-Scholes model, insurance and ruin problems and related topics.
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PSTAT 160B - Applied Stochastic Processes
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PSTAT 170: Introduction to Mathematical Finance
4.00 Credits
University of California-Santa Barbara
Describes mathematical methods for estimating and evaluating asset pricing models, equilibrium and derivative pricing, options, bonds, and the term-structure of interest rates. Also introduces finance optimization models for risk management and financial engineering.
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PSTAT 170 - Introduction to Mathematical Finance
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PSTAT 171: Mathematics of Fixed Income Markets
4.00 Credits
University of California-Santa Barbara
Introduction to fixed Income Markets. Topics include: measurement of interest, annuities certain, varying annuities, amortization schedules, sinking funds, bonds and related securities, depreciation.
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PSTAT 171 - Mathematics of Fixed Income Markets
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PSTAT 172A: Actuarial Statistics I
4.00 Credits
University of California-Santa Barbara
Probabilistic and deterministic contingency mathematics in life and health insurance, annuities, and pensions. Topics include: survival distributions and life tables, life insurance, life annuities, net premiums, net premium reserves.
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PSTAT 172A - Actuarial Statistics I
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PSTAT 172B: Actuarial Statistics II
4.00 Credits
University of California-Santa Barbara
Net premium reserves, multiple life functions, multiple decrement models, valuation theory for pension plans, insurance models including expenses, nonforfeiture benefits and dividends.
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PSTAT 172B - Actuarial Statistics II
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PSTAT 173: Risk Theory
4.00 Credits
University of California-Santa Barbara
Risk measures, individual and collective risk models, credibility theory; applications to actuarial and financial mathematics.
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PSTAT 173 - Risk Theory
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PSTAT 174: Time Series
4.00 Credits
University of California-Santa Barbara
Stationary and non-stationary models, seasonal time series, ARMA models: calculation of ACF, PACF, mean and ACF estimation. Barlett's formula, model estimation: Yule-Walker estimates, ML method. identification techniques, diagnostic checking forecasting, spectral analysis, the periodogram. Current software and applications.
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PSTAT 174 - Time Series
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PSTAT 175: Survival Analysis
4.00 Credits
University of California-Santa Barbara
Properties of survival models, including both parametric and tabular models; methods of estimating them from both complete and incomplete samples, including the actuarial, moment and maximum likelihood estimation techniques, and the estimation of life tables from general population data.
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PSTAT 175 - Survival Analysis
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PSTAT 182T: Tutorial in Actuarial Statistics
1.00 Credits
University of California-Santa Barbara
Problem solving sessions to prepare students for the first four actuarial examinations. Topics corresponding to these examinations (general mathematics, mathematical statistics, applied statistics and mathematics, and actuarial mathematics) will be offered in different quarters.
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PSTAT 182T - Tutorial in Actuarial Statistics
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PSTAT 193: Internship in Statistics
1.00 - 4.00 Credits
University of California-Santa Barbara
Faculty sponsored academic internship in industrial or research firms.
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PSTAT 193 - Internship in Statistics
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