{"results":[{"id":"arxiv_2406.19885","title":"Fractal dimension, and the problems traps of its estimation","authors":[{"name":"Carlos Sevcik"}],"abstract":"This chapter deals with error and uncertainty in data. Treats their measuring methods and meaning. It shows that uncertainty is a natural property of many data sets. Uncertainty is fundamental for the survival os living species, Uncertainty of the \"chaos\" type occurs in many systems, is fundamental to understand these systems.","source":"arXiv","year":2024,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/2406.19885","pdf_url":"https://arxiv.org/pdf/2406.19885","is_open_access":true,"published_at":"2024-06-27T10:57:50Z","score":68},{"id":"arxiv_2003.13518","title":"Ramsey's contributions to probability and legal theory","authors":[{"name":"F. E. Guerra-Pujol"}],"abstract":"Review of Cheryl Misak, Frank Ramsey: A Sheer Excess of Powers (Oxford University Press, 2020).","source":"arXiv","year":2020,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/2003.13518","pdf_url":"https://arxiv.org/pdf/2003.13518","is_open_access":true,"published_at":"2020-03-30T14:45:25Z","score":64},{"id":"arxiv_2006.09059","title":"Explicit formulas for the joint third and fourth central moments of the multinomial distribution","authors":[{"name":"Frédéric Ouimet"}],"abstract":"We give the first explicit formulas for the joint third and fourth central moments of the multinomial distribution, by differentiating the moment generating function. A general formula for the joint factorial moments was previously given in Mosimann (1962).","source":"arXiv","year":2020,"language":"en","subjects":["stat.OT","math.PR"],"url":"https://arxiv.org/abs/2006.09059","pdf_url":"https://arxiv.org/pdf/2006.09059","is_open_access":true,"published_at":"2020-06-16T10:36:06Z","score":64},{"id":"arxiv_2003.03970","title":"Bayes' Theorem under Conditional Independence","authors":[{"name":"Jun Hu"},{"name":"Xianggui Qu"}],"abstract":"In this article we provide a substantial discussion on the statistical concept of conditional independence, which is not routinely mentioned in most elementary statistics and mathematical statistics textbooks. Under the assumption of conditional independence, an extended version of Bayes' Theorem is then proposed with illustrations from both hypothetical and real-world examples of disease diagnosis.","source":"arXiv","year":2020,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/2003.03970","pdf_url":"https://arxiv.org/pdf/2003.03970","is_open_access":true,"published_at":"2020-03-09T08:51:42Z","score":64},{"id":"arxiv_2003.11635","title":"Review of The Book of Why: The New Science of Cause and Effect","authors":[{"name":"Peter M. Aronow"},{"name":"Fredrik Sävje"}],"abstract":"Book review published as: Aronow, Peter M. and Fredrik Sävje (2020), \"The Book of Why: The New Science of Cause and Effect.\" Journal of the American Statistical Association, 115: 482-485.","source":"arXiv","year":2020,"language":"en","subjects":["stat.OT","stat.ME"],"doi":"10.1080/01621459.2020.1721245","url":"https://arxiv.org/abs/2003.11635","pdf_url":"https://arxiv.org/pdf/2003.11635","is_open_access":true,"published_at":"2020-03-25T21:03:51Z","score":64},{"id":"arxiv_1909.01219","title":"The maximum likelihood degree of a chemical reaction at the equilibrium","authors":[{"name":"Simone Camosso"}],"abstract":"The complexity of a maximum likelihood estimation is measured by its maximum likelihood degree ($ML$ degree). In this paper we study the maximum likelihood problem associated to chemical networks composed by one single chemical reaction under the equilibrium assumption.","source":"arXiv","year":2019,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1909.01219","pdf_url":"https://arxiv.org/pdf/1909.01219","is_open_access":true,"published_at":"2019-08-29T08:26:30Z","score":63},{"id":"arxiv_1905.10209","title":"A score function for Bayesian cluster analysis","authors":[{"name":"John Noble"},{"name":"Łukasz Rajkowski"}],"abstract":"We propose a score function for Bayesian clustering. The function is parameter free and captures the interplay between the within cluster variance and the between cluster entropy of a clustering. It can be used to choose the number of clusters in well-established clustering methods such as hierarchical clustering or $K$-means algorithm.","source":"arXiv","year":2019,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1905.10209","pdf_url":"https://arxiv.org/pdf/1905.10209","is_open_access":true,"published_at":"2019-05-24T12:58:33Z","score":63},{"id":"arxiv_1801.02426","title":"Using Random Variables to Predict Experimental Outcomes","authors":[{"name":"James D. Stein"}],"abstract":"We shall show in this paper that there are experiments which are Bernoulli trials with success probability p \u003e 0.5, and which have the curious feature that it is possible to correctly predict the outcome with probability \u003e p.","source":"arXiv","year":2018,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1801.02426","pdf_url":"https://arxiv.org/pdf/1801.02426","is_open_access":true,"published_at":"2018-01-05T06:09:39Z","score":62},{"id":"arxiv_1704.06292","title":"Remark On Variance Bounds","authors":[{"name":"R. Sharma"}],"abstract":"It is shown that the formula for the variance of combined series yields surprisingly simple proofs of some well known variance bounds.","source":"arXiv","year":2017,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1704.06292","pdf_url":"https://arxiv.org/pdf/1704.06292","is_open_access":true,"published_at":"2017-04-19T14:54:43Z","score":61},{"id":"arxiv_1712.07349","title":"Data Science: A Three Ring Circus or a Big Tent?","authors":[{"name":"Jennifer Bryan"},{"name":"Hadley Wickham"}],"abstract":"This is part of a collection of discussion pieces on David Donoho's paper 50 Years of Data Science, appearing in Volume 26, Issue 4 of the Journal of Computational and Graphical Statistics (2017).","source":"arXiv","year":2017,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1712.07349","pdf_url":"https://arxiv.org/pdf/1712.07349","is_open_access":true,"published_at":"2017-12-20T07:41:45Z","score":61},{"id":"crossref_10.1007/978-3-658-08176-8_12","title":"OT-Mitgliedschaften und OT-Verbände","authors":[{"name":"Thomas Haipeter"}],"abstract":"","source":"CrossRef","year":2016,"language":"en","subjects":null,"doi":"10.1007/978-3-658-08176-8_12","url":"https://doi.org/10.1007/978-3-658-08176-8_12","is_open_access":true,"citations":6,"published_at":"","score":60.18},{"id":"arxiv_1606.01183","title":"Peter Hall's work on high-dimensional data and classification","authors":[{"name":"Richard J. Samworth"}],"abstract":"In this article, I summarise Peter Hall's contributions to high-dimensional data, including their geometric representations and variable selection methods based on ranking. I also discuss his work on classification problems, concluding with some personal reflections on my own interactions with him.","source":"arXiv","year":2016,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1606.01183","pdf_url":"https://arxiv.org/pdf/1606.01183","is_open_access":true,"published_at":"2016-06-03T16:52:22Z","score":60},{"id":"arxiv_1509.03346","title":"A multi-dimensional stream and its signature representation","authors":[{"name":"Hao Ni"}],"abstract":"The signature of a path is an essential object in the theory of rough paths. The signature representation of the data stream can recover standard statistics, e.g. the moments of the data stream. The classification of random walks indicates the advantages of using the signature of a stream as the feature set for machine learning.","source":"arXiv","year":2015,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1509.03346","pdf_url":"https://arxiv.org/pdf/1509.03346","is_open_access":true,"published_at":"2015-09-10T21:50:12Z","score":59},{"id":"arxiv_1402.0947","title":"On Renyi entropy convergence of the max domain of attraction","authors":[{"name":"Ali Saeb"}],"abstract":"In this paper, we prove that the Renyi entropy of linearly normalized partial maxima of independent and identically distributed random variables is convergent to the corresponding limit Renyi entropy when the linearly normalized partial maxima converges to some nondegenerate random variable.","source":"arXiv","year":2014,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1402.0947","pdf_url":"https://arxiv.org/pdf/1402.0947","is_open_access":true,"published_at":"2014-02-05T06:24:02Z","score":58},{"id":"arxiv_1410.4515","title":"A Conversation with Howell Tong","authors":[{"name":"Kung-Sik Chan"},{"name":"Qiwei Yao"}],"abstract":"The following conversation is partly based on an interview that took place in the Hong Kong University of Science and Technology in July 2013.","source":"arXiv","year":2014,"language":"en","subjects":["stat.OT"],"doi":"10.1214/13-STS464","url":"https://arxiv.org/abs/1410.4515","pdf_url":"https://arxiv.org/pdf/1410.4515","is_open_access":true,"published_at":"2014-10-15T13:15:50Z","score":58},{"id":"arxiv_1411.0539","title":"A note on Bayesian logistic regression for spatial exponential family Gibbs point processes","authors":[{"name":"Tuomas Rajala"}],"abstract":"Recently, a very attractive logistic regression inference method for exponential family Gibbs spatial point processes was introduced. We combined it with the technique of quadratic tangential variational approximation and derived a new Bayesian technique for analysing spatial point patterns. The technique is described in detail, and demonstrated on numerical examples.","source":"arXiv","year":2014,"language":"en","subjects":["stat.OT","stat.ME"],"url":"https://arxiv.org/abs/1411.0539","pdf_url":"https://arxiv.org/pdf/1411.0539","is_open_access":true,"published_at":"2014-11-03T15:59:29Z","score":58},{"id":"arxiv_1305.6995","title":"Review of: Mixed Effects Models and Extensions in Ecology with R","authors":[{"name":"J. Andrew Royle"}],"abstract":"This is a review of the book \"Mixed Effects Models and Extensions in Ecology with R\" by Zuur, Ieno, Walker, Saveliev and Smith (2009, Springer). I was asked to review this book for The American Statistician in 2010. After I wrote the review, the invitation was revoked. This is the review.","source":"arXiv","year":2013,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1305.6995","pdf_url":"https://arxiv.org/pdf/1305.6995","is_open_access":true,"published_at":"2013-05-30T03:54:24Z","score":57},{"id":"arxiv_1201.2590","title":"It is Time to Stop Teaching Frequentism to Non-statisticians","authors":[{"name":"William M. Briggs"}],"abstract":"We should cease teaching frequentist statistics to undergraduates and switch to Bayes. Doing so will reduce the amount of confusion and over-certainty rife among users of statistics.","source":"arXiv","year":2012,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1201.2590","pdf_url":"https://arxiv.org/pdf/1201.2590","is_open_access":true,"published_at":"2012-01-12T15:24:29Z","score":56},{"id":"arxiv_1212.6339","title":"A paradox on the spectral representation of stationary random processes","authors":[{"name":"Mohammad Mohammadi"},{"name":"Adel Mohammadpour"},{"name":"Afshin Parvardeh"}],"abstract":"In this note our aim is to show a paradox in the spectral representation of stationary random processes.","source":"arXiv","year":2012,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1212.6339","pdf_url":"https://arxiv.org/pdf/1212.6339","is_open_access":true,"published_at":"2012-12-27T10:33:34Z","score":56},{"id":"arxiv_1202.4746","title":"A Proof on Asymptotics of Wavelet Variance of a Long Memory Process by Using Taylor Expansion","authors":[{"name":"Wonsang You"},{"name":"Wojciech Kordecki"}],"abstract":"A long memory process has self-similarity or scale-invariant properties in low frequencies. We prove that the log of the scale-dependent wavelet variance for a long memory process is asymptotically proportional to scales by using the Taylor expansion of wavelet variances.","source":"arXiv","year":2012,"language":"en","subjects":["stat.OT"],"url":"https://arxiv.org/abs/1202.4746","pdf_url":"https://arxiv.org/pdf/1202.4746","is_open_access":true,"published_at":"2012-02-21T20:48:23Z","score":56}],"total":110989,"page":1,"page_size":20,"sources":["arXiv","CrossRef"],"query":"stat.OT"}