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We give describe several models for $(\infty,n)$-categories, with an emphasis on models given by diagrams of sets and simplicial sets. We look most closely at the cases when $n \leq 2$, then summarize methods of generalizing for all $n$.

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Comment on ``The Essential Role of Pair Matching in Cluster-Randomized Experiments, with Application to the Mexican Universal Health Insurance Evaluation'' [arXiv:0910.3752]

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We show that the auxiliary variable method (M{\o}ller et al., 2006; Murray et al., 2006) for inference of Markov random fields can be viewed as an approximate Bayesian computation method for likelihood estimation.

Computation · Statistics 2016-04-28 Dennis Prangle , Richard G. Everitt

We are most grateful to all discussants for their positive comments and many thought-provoking questions. In addition, the discussants provide a number of useful leads into various areas of the literatures on time series, forecasting and…

Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]

Statistics Theory · Mathematics 2007-06-13 David E. Tyler

Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]

Statistics Theory · Mathematics 2007-06-13 Peter J. Rousseeuw

Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]

Statistics Theory · Mathematics 2007-06-13 Hannu Oja

Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]

Statistics Theory · Mathematics 2007-06-13 Xuming He

Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]

Statistics Theory · Mathematics 2007-06-13 Frank Hampel

Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]

Statistics Theory · Mathematics 2007-06-13 Marc G. Genton , Andre Lucas

Discussion of "Is Bayes Posterior just Quick and Dirty Confidence?" by D. A. S. Fraser [arXiv:1112.5582].

Methodology · Statistics 2012-02-06 Kesar Singh , Minge Xie

Discussion of "Is Bayes Posterior just Quick and Dirty Confidence?" by D. A. S. Fraser [arXiv:1112.5582].

Methodology · Statistics 2012-02-06 Christian P. Robert

We introduce a factor analysis model that summarizes the dependencies between observed variable groups, instead of dependencies between individual variables as standard factor analysis does. A group may correspond to one view of the same…

Machine Learning · Statistics 2014-11-19 Seppo Virtanen , Arto Klami , Suleiman A. Khan , Samuel Kaski

Comment on "Quantifying the Fraction of Missing Information for Hypothesis Testing in Statistical and Genetic Studies" [arXiv:1102.2774]

Methodology · Statistics 2011-02-16 Hani Doss

Models with intractable likelihood functions arise in areas including network analysis and spatial statistics, especially those involving Gibbs random fields. Posterior parameter es timation in these settings is termed a doubly-intractable…

Computation · Statistics 2018-10-16 Lampros Bouranis , Nial Friel , Florian Maire

Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman

Hierarchical models are increasingly used in many applications. Along with this increased use comes a desire to investigate whether the model is compatible with the observed data. Bayesian methods are well suited to eliminate the many…

Methodology · Statistics 2008-02-08 M. J. Bayarri , M. E. Castellanos

Discussion of "Is Bayes Posterior just Quick and Dirty Confidence?" by D. A. S. Fraser [arXiv:1112.5582]

Methodology · Statistics 2012-01-04 Tong Zhang

The assessment of diversity and similarity is relevant in monitoring the status of ecosystems. The respective indicators are based on the taxonomic composition of biological communities of interest, currently estimated through the…

Applications · Statistics 2018-10-12 Fabio Divino , Johanna Ärje , Antti Penttinen , Kristian Meissner , Salme Kärkkäinen

Rejoinder of "Instrumental Variables: An Econometrician's Perspective" by Guido W. Imbens [arXiv:1410.0163].

Methodology · Statistics 2014-10-03 Guido Imbens