Concepts and basic properties of some special probability distributions, independence, moment generating functions, sampling distributions of statistics, limiting distributions.
Athena Title
Mathematical Statistics I
Prerequisite
MATH 2270 or MATH 2500
Semester Course Offered
Offered fall
Grading System
A - F (Traditional)
Student Learning Outcomes
Students will learn how to use specific statistical distributions and general modes of statistical thinking to make inferences from data, and to support an argument with quantitative information.
Students will learn the mathematical and probabilistic underpinnings of statistical theory, which is essential for understanding and properly applying statistical techniques used in other fields such as economics, biology, engineering, social science, and so on.
Students will apply a wide variety of probability distributions, and approach and solve practical problems through statistical and probabilistic reasoning.
Students will be able to prove theorems relating to the content of the course, provide written explanations of the ideas behind statistical concepts, and will have improved their skills at solving complex and multi-step problems.