Past Events

Seminar

Optimal Data Acquisition for Statistical Estimation

 

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Wednesday, November 13, 2019, 11:00am

 

We consider a data analyst's problem of purchasing data from strategic agents to compute an unbiased estimate of a statistic of interest. Agents incur private costs to reveal their data and the costs can be arbitrarily correlated with their data. Once revealed, data are verifiable. This paper focuses on linear unbiased estimators. We design an individually rational and incentive compatible mechanism that optimizes the worst-case mean-squared error of the estimation, where the worst-case is over the unknown correlation between costs and data, subject to a budget constraint in expectation. We characterize the form of the optimal mechanism in closed-form. We further extend our results to acquiring data for estimating a parameter in regression analysis, where private costs can correlate with the values of the dependent variable but not with the values of the independent variables.

Speaker: Juba Zian

Location : CoRE A 301

Committee

Rutgers/DIMACS Theory of Computing Seminar

Event Type: Seminar

Organization

UPenn