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Stat 301 Theory of Probability I
Stat 301 Theory of Probability I
Measure theory; probability spaces; random variables; integration, expectation and moments; convergence.
3 hours, 3 units
Stat 302 Theory of Probability II
Stat 302 Theory of Probability II
Conditional expectations; dependence; martingales.
Prereq: Stat 301. 3 hours, 3 units
Stat 303 Stochastic Processes
Stat 303 Stochastic Processes
The theory of stochastic processes; some stochastic processes.
Prereq: Stat 302. 3 hours, 3 units
Stat 311 Theory of Statistical Inference I
Stat 311 Theory of Statistical Inference I
Sufficiency, completeness, exponential families, unbiasedness; equivariance, Bayes estimation, minimax estimation; admissibility.
Prereq: Stat 301. 3 hours, 3 units
Stat 312 Theory of Statistical Inference II
Stat 312 Theory of Statistical Inference II
Uniformly most powerful tests; unbiased tests; invariance; linear hypothesis; minimax principle.
Prereq: Stat 311. 3 hours, 3 units
Stat 390 Reading Course
Stat 390 Reading Course
must be taken three times
2 hours, 2 units
Stat 396 Seminar
Stat 396 Seminar
Faculty and graduate student discussions of current researches in Statistics.
1 hour, 1 unit
Stat 400 Dissertation
Stat 400 Dissertation
may be split into parts, provided a total of 12 units of Stat 400 have been taken before being allowed to graduate. Each part may be a 3-unit course or its multiple (i.e., 3, 6, 9, or 12 units, respectively corresponding to 3, 6, 9, or 12 hours of independent study)
12 hours, 12 units
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