Marketing Analytics
Very large marketing optimization problems (generalized assignment problems) can be solved via a collapsed dual approach. Not only is this method computationally efficient, but the dual solution provides an upper bound on the primal objective function and results are invariably close to optimum. No special solver is required. As illustrated in our R-script, an ordinary nonlinear optimization function does the job nicely.
Dual Solution of a Large Marketing Optimization Problem
Marketing Optimization R-Script
Estimation of Treatment Effect
Selected Publications
Confidence Sets for Binary Response Models
Econometric Forecasting via Discounted Least Squares
Finite Statistical Games & Linear Programming
Income Inequality and Taxation
Inequalities with Application in Economic Risk Analysis
Inequalities with Application in Retail Inventory Analysis
Multivariate Version of a Jensen-Type Inequality
Generalized Multivariate Jensen-Type Inequality
Maximization of Long-Run Average Rate-of-Return by Stochastic Approximation
On the Superposition of Point Processes
On the TEAM Approach to Investing
On the Two-Envelope or Two-Box Paradox
Optimal Congressional Apportionment
Sequential Bid Selection by Stochastic Approximation
Shapley Value and Income Taxation
Very large marketing optimization problems (generalized assignment problems) can be solved via a collapsed dual approach. Not only is this method computationally efficient, but the dual solution provides an upper bound on the primal objective function and results are invariably close to optimum. No special solver is required. As illustrated in our R-script, an ordinary nonlinear optimization function does the job nicely.
Dual Solution of a Large Marketing Optimization Problem
Marketing Optimization R-Script
Estimation of Treatment Effect
Selected Publications
Confidence Sets for Binary Response Models
Econometric Forecasting via Discounted Least Squares
Finite Statistical Games & Linear Programming
Income Inequality and Taxation
Inequalities with Application in Economic Risk Analysis
Inequalities with Application in Retail Inventory Analysis
Multivariate Version of a Jensen-Type Inequality
Generalized Multivariate Jensen-Type Inequality
Maximization of Long-Run Average Rate-of-Return by Stochastic Approximation
On the Superposition of Point Processes
On the TEAM Approach to Investing
On the Two-Envelope or Two-Box Paradox
Optimal Congressional Apportionment
Sequential Bid Selection by Stochastic Approximation
Shapley Value and Income Taxation