Linear Systems Theory Handout

Review of Linear System Theory

The following is a (very) brief review of linear system theory and Fourier analysis. I work primarily with discrete signals, but each result developed in this review has a parallel in terms of continuous signals and systems. I assume the reader is familiar with linear algebra (as reviewed in my handout Geometric Review of Linear Algebra), and least squares estimation (as reviewed in my handout ...

Signals & Systems Signal Theory Handout

POL 345: Quantitative Analysis and Politics

Remember to complete the entire handout before precept. In this handout, we cover the following new materials: • Using summary() to obtain the summary statistics of a linear regression model. • Using coef() to obtain coefficients from a linear regression model. • Using predict() to generate predicted values for the outcome variable based on an estimated linear regression model. • Using lm() to ...

Review: Statistics, Estimation and Decisions

The following is a (very) brief review of statistics, described from a Bayesian perspective, in the context of both experimental data analysis and modeling. I emphasize brevity and geometric intuition, at the expense of rigor and detail. I assume the reader is familiar with linear algebra (as reviewed in my handout Geometric Review of Linear Algebra), and least squares estimation (as reviewed i...

A Single Machine Capacitated Production Planning Problem Under Uncertainty: A Grey Linear Programming Approach

The production planning is an important problem in most of manufacturing systems in practice. Unlike many researches existing in literature, this problem encounters with great uncertainties in parameters and input data. In this paper, a single machine capacitated production planning problem is considered and a linear programming formulation is presented. The production costs are assumed to be u...