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Latest Publications


July 2020
EMBO Journal
Reshetniak S, Ußling JE, Perego E, Rammner B, Schikorski T, Fornasiero EF, Truckenbrodt S, Köster S, Rizzoli S
June 2020
EMBO Molecular Medicine
Dieter A, Klein E, Keppeler D, Jablonski L, Harczos T, Hoch G, Rankovic V, Paul O, Jeschke M, Ruther P, Moser T
June 2020
Nature Communications
Jean P, Anttonen T, Michanski S, de Diego AMG, Steyer AM, Neef A, Oestreicher D, Kroll J, Nardis C, Pangršič T, Möbius W, Ashmore J, Wichmann C, Moser T
June 2020
EMBO Journal
Stephan T, Bruser C, Deckers M, Steyer M, Balzarotti F, Barbot M, Behr TS, Heim G, Hubner W, Ilgen P, Lange F, Pacheu-Grau D, Pape JK, Stoldt S, Huser T, Hell SW, Mobius W, Rehling P, Riedel D, Jakobs S
June 2020
Journal of Synchrotron Radiation
Cassini C, Wittmeier A, Brehm G, Denz M, Burghammer M, Köster S
June 2020
Nature Structural & Molecular Biology
Vos SM, Farnung L, Linden A, Urlaub H, Cramer P
June 2020
Human Genetics
Ganapathi M, Argyriou L, Martínez-Azorín F, Morlot S, Yigit G, Lee TM, Auber B, von Gise A, Petrey DS, Thiele H, Cyganek L, Sabater-Molina M, Ahimaz P, Cabezas-Herrera J, Sorlí-García M, Zibat A, Siegelin MD, Burfeind P, Buchovecky CM, Hasenfuss G, Honig B, Li Y, Iglesias AD, Wollnik B
June 2020
Biometrika
Li H, Munk A, Sieling H, Walther G

Authors

Li H, Munk A, Sieling H, Walther G

Journal

Biometrika

Citation

Biometrika (2020), 107, 2, pp. 347–364

Abstract

The histogram is widely used as a simple, exploratory way of displaying data, but it is usually not clear how to choose the number and size of the bins. We construct a confidence set of distribution functions that optimally deal with the two main tasks of the histogram: estimating probabilities and detecting features such as increases and modes in the distribution. We define the essential histogram as the histogram in the confidence set with the fewest bins. Thus the essential histogram is the simplest visualization of the data that optimally achieves the main tasks of the histogram. The only assumption we make is that the data are independent and identically distributed. We provide a fast algorithm for computing the essential histogram and illustrate our method with examples.

DOI

10.1093/biomet/asz081

 
Pubmed Link

 

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