Transformations of index set for Skorokhod integral with respect to Gaussian processes

We consider a Gaussian process {Xt,t∈T} with an arbitrary index set T and study consequences of transformations of the index set on the Skorokhod integral and Skorokhod derivative with respect to X. The results applied to Skorokhod SDEs of diffusion type provide uniqueness of the solution for the time-reversed equation and, to Ogawa line integral, give an analogue of the fundamental theorem of calculus

Adventures in the Islands - Enhancing Student Engagement in Teaching Statistics

The factors for enhancing student engagement frequently identified are active and problem-based learning as well as real-life experience relevant to students\u27 interests. The importance of using real data in teaching statistics has been repeatedly emphasized and its importance is growing. However, data collection, as part of a student project, faces serious practical problems. It is time-consuming, may require access to equipment, or raise ethical issues

Fostering student engagement through a real-world, collaborative project across disciplines and institutions

Ample research has identified several features of a learning experience likely to enhance student learning, including collaboration, open-ended exploration, and problem-based learning in real-life scenarios. Missing is a model of how instructors might combine these elements into a single project that works flexibly across disciplines and institutions. This article fills this gap by offering such a model and reporting on its effectiveness in fostering student engagement. It describes a project that instructors at four colleges and universities in Flint, Michigan (USA) piloted during the height of the Flint water crisis. The project asked students to apply class content to the real-world problem unfolding around them, and offered students an opportunity to collaborate with peers. We collected qualitative and quantitative data on students’ reactions to the project, and found that the project succeeded in engaging students. We offer recommendations for how instructors can create similar projects in their own classrooms

Extension of a stochastic integral with respect to cylindrical martingales

We extend stochastic integral of Metivier and Pellaumail with respect to cylindrical martingales which is necessary for constructing a Hilbert space-valued diffusion based on Nelson\u27s kinematic theory of stochastic motion. Examples for inadequacy of existing stochastic integrals are provided

11/13/2019: Course Change Form Math 203X

This five-contact hour course is for students who want to study multivariate calculus at a pace comparable to that of MATH-102X. It contains the same material as MATH-203

11/28/2018: Program Change - Applied Statistics Minor

Current Required courses MATH-101, MATH-102, MATH-203, (MATH-258 or IME-332), MATH327, MATH-330 Elective courses (choose two) IME-422, IME-471, IME-472, IME-473, MATH-427, MATH-428 Proposed Required courses MATH-101, MATH-102, MATH-203, MATH-258, MATH327, MATH-330 Eliminated: (MATH-258 or IME-332) requirement as MATH-258 is a prerequisite for IME-332 Elective courses (choose two) IME-332, IME-422, IME-423, IME-471, IME-472, IME-473, IME-476, MATH-427, MATH-428 Some IME courses were added as possible electives, they all add to the knowledge of statistics. Total of 32 CR Hours (unchanged

4/22/2020: Course Change Form MATH 100

This five-contact hour course is for students who are placed in MATH-100 by the Mathematics Placement Test. There is no change in the coverage. The six contact hour version, which is eliminated, required 2-hour meeting in one day (deemed excessive) and reduced student time for out-of-class study

4/22/2020: Course Change Form Math 101X

This five-contact hour course is for students who are placed in MATH-101X or want to study differential calculus of functions of one variable at a slower pace and with a comprehensive review of trigonometry. This course contains all the material in MATH-101. The six contact hour version, which is eliminated, required 2-hour meeting in one day (deemed excessive) and reduced student time for out-of-class study

8/1/2018: Statistical Methods for Data Science

This is a required course for candidates for the “Master of Science in Data Science” program. It provides necessary background in probability to study statistical analysis methods and modeling for data science