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Online Courses in Probability
Below are some commonly offered online probability courses.
- Probability for Non-Mathematics Majors: This course provides introduces the principles of discrete probability and elementary statistics. Knowledge of calculus is not required.
- Elementary Probability and Statistics: Students majoring in mathematics are introduced to basic probability theorems and applications in this course. The methodology for examining the distribution of random variables, event interdependence, regression tests, sampling and determining statistical inference is presented. This course requires a working knowledge of calculus.
- Theory of Probability: Advanced probability theories are presented in this course. Students learn about local limit theorems, infinitely divisible distributions, triangular arrays and stable laws. Ergodic theory, Markov chains, Bayes Theorem, linear regressions, combinatorics and stochastic processes are also examined.
- Probability, Decision-Making and Six Sigma: In this course, students learn to apply probability theorems to develop models for decision-making. Students define uncertainty concepts, examine multivariate relationships and establish plot points and lines. Also covered are processes to estimate theories, compute standard errors and interpret confidence levels. The students relate the mathematical concepts to Six Sigma manufacturing analysis and techniques.
- Probability and Random Variables: This course will teach students about fundamental concepts of random variables in probability. Students learn about different types of distribution functions, as well as conditional probability, Bayes theorem and the law of large numbers.
- Bayesian Methods: This class focuses specifically on the Bayesian paradigm of data analysis. Foundational principals will be reviewed, followed by an emphasis on Bayesian methods of modeling and computations.
- Multivariate Analysis: Those enrolled will gain an understanding of chi-squares and t-tests, as well as discrimination and classification procedures. This knowledge will then be applied to diagnostic issues in medical, social and biological analysis.
Classes in probability fulfill requirements for degrees such as a Bachelor of Arts in Accounting or a Bachelor of Science in Mathematics. Possible advanced degrees include a Master of Science in Statistics or a Master of Science in Applied Mathematics. In addition to the usual computer and system requirements, many online probability classes require the use of scientific calculators with special functions beyond the capabilities of most computer-based calculators. These required functions are usually listed in the course descriptions.
Online courses in probability are generally offered as part of undergraduate and graduate degree programs in a larger field of study, such as mathematics or accounting. Topics that will be touched on include random variables, theory of probability and Six Sigma analysis.