# Van Dantzig Seminar

#### nationwide series of lectures in statistics

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## Next Van Dantzig Seminar: October 16, 2020

### Speakers: Fadoua Balabdaoui, Yoav Zemel

#### Programme: (click names or scroll down for titles and abstracts)

 15:00 - 16:00 Fadoua Balabdaoui (ETH Zurich) 16:00 - 16:15 Break 16:15 - 17:15 Yoav Zemel (Cambridge)
 The seminar will be online.

## Titles and abstracts

Least squares estimation of a completely monotone pmf: From Analysis to Statistics

We consider the class of completely monotone probability mass functions (pmf) from a statistical perspective. An element in this class is known to be a mixture of geometric pmfs, a consequence of the celebrated Hausdorff Theorem. We show that the complete monotone least squares estimator exists, is strongly consistent and converges weakly to the truth at the $\sqrt n$-rate. Furthermore, we fully describe its limit distribution as the unique solution of a well-posed minimization problem. Through a simulation study we assess the performance of the method under different scenarios.

• Yoav Zemel

TBA

TBA

## Van Dantzig Seminar

 The Van Dantzig seminar is a nationwide series of lectures in statistics, which features renowned international and local speakers, from the full width of the statistical sciences. The name honours David van Dantzig (1900-1959), who was the first modern statistician in the Netherlands, and professor in the "Theory of Collective Phenomena" (i.e. statistics) in Amsterdam. The seminar will convene 4 to 6 times a year at varying locations, and is supported financially by among others the STAR cluster and the Section Mathematical Statistics of the VVS-OR.