- See Also
- Gwern
-
Links
- “Impossible Hypotheses and Effect-Size Limits”, Tilburg & Tilburg 2023
- “Fair Coins Tend to Land on the Same Side They Started: Evidence from 350,757 Flips”, Bartoš et al 2023
- “How Correlated Are You?”, Downey 2023
- “The Lindy Effect”, Ord 2023
- “Sciama’s Argument on Life in a Random Universe: Distinguishing Apples from Oranges”, Wang & Braunstein 2023
- “Arithmetic Sampling: Parallel Diverse Decoding for Large Language Models”, Vilnis et al 2022
- “Why Are Roman-Period Dice Asymmetrical? An Experimental and Quantitative Approach”, Eerkens & Voogt 2022
- “Policy Learning and Evaluation With Randomized Quasi-Monte Carlo”, Arnold et al 2022
- “Learning in High Dimension Always Amounts to Extrapolation”, Balestriero et al 2021
- “Can Humans Perform Mental Regression on a Graph? Accuracy and Bias in the Perception of Scatterplots”, Ciccione & Dehaene 2021
- “The Piranha Problem: Large Effects Swimming in a Small Pond”, Tosh et al 2021
- “A New Coefficient of Correlation”, Chatterjee 2020
- “Monte Carlo Gradient Estimation in Machine Learning”, Mohamed et al 2019
- “Going Critical”, Simler 2019
- “Follow-Up: I Found Two Identical Packs of Skittles, among 468 Packs With a Total of 27,740 Skittles”, Farmer 2019
- “Scale-Free Networks Are Rare”, Broido & Clauset 2019
- “Finite Mixture Models”, McLachlan et al 2019
- “Statistical Aspects of Wasserstein Distances”, Panaretos & Zemel 2019
- “Test Driving 'Power of Two Random Choices' Load Balancing”, Tarreau 2019
- “Tweedie Gradient Boosting for Extremely Unbalanced Zero-Inflated Data”, Zhou et al 2018
- “How to Shuffle a Big Dataset”, Hardin 2018
- “Information Flow Reveals Prediction Limits in Online Social Activity”, Bagrow et al 2017
- “Varieties of Confidence Intervals”, Cousineau 2017
- “Asymptotically Optimal Amplifiers for the Moran Process”, Goldberg et al 2016
- “Amplifiers and Suppressors of Selection for the Moran Process on Undirected Graphs”, Giakkoupis 2016
- “Categorical Reparameterization With Gumbel-Softmax”, Jang et al 2016
- “The Concrete Distribution: A Continuous Relaxation of Discrete Random Variables”, Maddison et al 2016
- “Yule’s ‘Nonsense Correlation’ Solved!”, Ernst et al 2016
- “Amplifiers for the Moran Process”, Galanis et al 2015
- “Practical Probabilistic Programming With Monads”, Ścibior et al 2015
- “Most Undirected Random Graphs Are Amplifiers of Selection for Birth-Death Dynamics, but Suppressors of Selection for Death-Birth Dynamics”, Hindersin & Traulsen 2015
- “What Teachers Should Know about the Bootstrap: Resampling in the Undergraduate Statistics Curriculum”, Hesterberg 2014
- “Red Black Card Game and Generalized Catalan Numbers”, Howe 2014
- “Asymptotic Expression for the Fixation Probability of a Mutant in Star Graphs”, Chalub 2014
- “Universality of Fixation Probabilities in Randomly Structured Populations”, Adlam & Nowak 2014
- “Fixation Probabilities on Superstars, Revisited and Revised”, Jamieson-Lane & Hauert 2013
- “On the Distribution of Job Performance: The Role of Measurement Characteristics in Observed Departures from Normality”, Beck et al 2013
- “Star Performers in 21st Century Organizations”, Aguinis & O’Boyle 2013
- “Page Weight Matters”, Zacharias 2012
- “Indefinite Survival through Backup Copies”, Sandberg & Armstrong 2012
- “Predicting the Outcome of Roulette”, Small & Tse 2012
- “Uniform Random Generation of Large Acyclic Digraphs”, Kuipers & Moffa 2012
- “Counting YouTube Videos via Random Prefix Sampling”, Zhou et al 2011
- “Emergence of Good Conduct, Scaling and Zipf Laws in Human Behavioral Sequences in an Online World”, Thurner et al 2011
- “Quality of Random Number Generators Affects Results of Monte Carlo Simulations for Organic and Biological Systems”, Click et al 2011
- “When to Stop: How to Gamble If You Must—The Mathematics of Optimal Stopping”, Hill 2009
- “Optimal Stopping of a Brownian Bridge”, Ekström & Wanntorp 2009
- “Weldon’s Dice, Automated”, Labby 2009
- “The Epic Story of Maximum Likelihood”, Stigler 2007
- “Power-Law Distributions in Empirical Data”, Clauset et al 2007
- “The Complex Dynamics of Collaborative Tagging”, Halpin et al 2007
- “An Introduction to the Theory of Citing”, Simkin & Roychowdhury 2007
- “Isaac Newton As a Probabilist”, Stigler 2006
- “Modeling Bursts and Heavy Tails in Human Dynamics”, Vazquez et al 2005
- “Continuous Parameter Estimation Model: Expanding the Standard Statistical Paradigm”, Gorsuch 2005
- “An Alternative to Null-Hypothesis Statistical-Significance Tests”, Killeen 2005
- “Modelling the Recent Common Ancestry of All Living Humans”, Rohde et al 2004
- “Stochastic Modeling of Citation Slips”, Simkin & Roychowdhury 2004
- “Copied Citations Create Renowned Papers?”, Simkin & Roychowdhury 2003
- “Read Before You Cite!”, Simkin & Roychowdhury 2002
- “The Power of Two Random Choices: A Survey of Techniques and Results”, Mitzenmacher et al 2001
- “A Primer on Regression Artifacts”, Campbell & Kenny 1999
- “How Many Birds Are There?”, Gaston & Blackburn 1997
- “Another Comment on O'Cinneide”, Mallows 1991
- “The Mean Is within One Standard Deviation of Any Median”, O’Cinneide 1990
- “A Note on Stochastic Dominance and Inequality Measures”, Muliere & Scarsini 1989
- “Methods for Studying Coincidences”, Diaconis & Mosteller 1989
- “Randomness Conservation Inequalities; Information and Independence in Mathematical Theories”, Levin 1984
- “Application of the Buffon Needle Problem and Its Extensions to Parallel-Line Search Sampling Scheme”, Chung 1981 (page 5)
- “A Convergent Gambling Estimate Of The Entropy Of English”, Cover & King 1978
- “Characteristic Statistical Problems of Stochastic Geometry”, Watson 1977 (page 12)
- “Stabilization in Systems: Chreods and Epigenetic Landscapes”, Waddington 1977
- “A Markov Process of Gene Frequency Change in a Geographically Structured Population”, Maruyama 1974
- “Been A Long, Long Time”, Lafferty 1970
- “Estimating the Magnitude of Experimental Effects”, Fleiss 1969
- “How Deviant Can You Be?”, Smauleson 1968
- “A Simple Randomization Procedure”, Sandelius 1962
- “Generation of Random Permutations of Given Number of Elements Using Random Sampling Numbers”, Rao 1961
- “Chance Remarks”, Pierce 1949
- “The Limits of a Measure of Skewness”, Hotelling & Solomons 1932
- Wikipedia
- Miscellaneous
- Link Bibliography
See Also
Gwern
“Calculating The Gaussian Expected Maximum”, Gwern 2016
“Leaky Pipelines”, Gwern 2014
Links
“Impossible Hypotheses and Effect-Size Limits”, Tilburg & Tilburg 2023
“Fair Coins Tend to Land on the Same Side They Started: Evidence from 350,757 Flips”, Bartoš et al 2023
Fair coins tend to land on the same side they started: Evidence from 350,757 Flips
“How Correlated Are You?”, Downey 2023
“The Lindy Effect”, Ord 2023
“Sciama’s Argument on Life in a Random Universe: Distinguishing Apples from Oranges”, Wang & Braunstein 2023
Sciama’s argument on life in a random universe: Distinguishing apples from oranges
“Arithmetic Sampling: Parallel Diverse Decoding for Large Language Models”, Vilnis et al 2022
Arithmetic Sampling: Parallel Diverse Decoding for Large Language Models
“Why Are Roman-Period Dice Asymmetrical? An Experimental and Quantitative Approach”, Eerkens & Voogt 2022
Why are Roman-period dice asymmetrical? An experimental and quantitative approach
“Policy Learning and Evaluation With Randomized Quasi-Monte Carlo”, Arnold et al 2022
Policy Learning and Evaluation with Randomized Quasi-Monte Carlo
“Learning in High Dimension Always Amounts to Extrapolation”, Balestriero et al 2021
“Can Humans Perform Mental Regression on a Graph? Accuracy and Bias in the Perception of Scatterplots”, Ciccione & Dehaene 2021
Can humans perform mental regression on a graph? Accuracy and bias in the perception of scatterplots
“The Piranha Problem: Large Effects Swimming in a Small Pond”, Tosh et al 2021
“A New Coefficient of Correlation”, Chatterjee 2020
“Monte Carlo Gradient Estimation in Machine Learning”, Mohamed et al 2019
“Going Critical”, Simler 2019
“Follow-Up: I Found Two Identical Packs of Skittles, among 468 Packs With a Total of 27,740 Skittles”, Farmer 2019
Follow-up: I found two identical packs of Skittles, among 468 packs with a total of 27,740 Skittles
“Scale-Free Networks Are Rare”, Broido & Clauset 2019
“Finite Mixture Models”, McLachlan et al 2019
“Statistical Aspects of Wasserstein Distances”, Panaretos & Zemel 2019
“Test Driving 'Power of Two Random Choices' Load Balancing”, Tarreau 2019
“Tweedie Gradient Boosting for Extremely Unbalanced Zero-Inflated Data”, Zhou et al 2018
Tweedie Gradient Boosting for Extremely Unbalanced Zero-inflated Data
“How to Shuffle a Big Dataset”, Hardin 2018
“Information Flow Reveals Prediction Limits in Online Social Activity”, Bagrow et al 2017
Information flow reveals prediction limits in online social activity
“Varieties of Confidence Intervals”, Cousineau 2017
“Asymptotically Optimal Amplifiers for the Moran Process”, Goldberg et al 2016
“Amplifiers and Suppressors of Selection for the Moran Process on Undirected Graphs”, Giakkoupis 2016
Amplifiers and Suppressors of Selection for the Moran Process on Undirected Graphs
“Categorical Reparameterization With Gumbel-Softmax”, Jang et al 2016
“The Concrete Distribution: A Continuous Relaxation of Discrete Random Variables”, Maddison et al 2016
The Concrete Distribution: A Continuous Relaxation of Discrete Random Variables
“Yule’s ‘Nonsense Correlation’ Solved!”, Ernst et al 2016
“Amplifiers for the Moran Process”, Galanis et al 2015
“Practical Probabilistic Programming With Monads”, Ścibior et al 2015
“Most Undirected Random Graphs Are Amplifiers of Selection for Birth-Death Dynamics, but Suppressors of Selection for Death-Birth Dynamics”, Hindersin & Traulsen 2015
“What Teachers Should Know about the Bootstrap: Resampling in the Undergraduate Statistics Curriculum”, Hesterberg 2014
What Teachers Should Know about the Bootstrap: Resampling in the Undergraduate Statistics Curriculum
“Red Black Card Game and Generalized Catalan Numbers”, Howe 2014
“Asymptotic Expression for the Fixation Probability of a Mutant in Star Graphs”, Chalub 2014
Asymptotic expression for the fixation probability of a mutant in star graphs
“Universality of Fixation Probabilities in Randomly Structured Populations”, Adlam & Nowak 2014
Universality of fixation probabilities in randomly structured populations
“Fixation Probabilities on Superstars, Revisited and Revised”, Jamieson-Lane & Hauert 2013
“On the Distribution of Job Performance: The Role of Measurement Characteristics in Observed Departures from Normality”, Beck et al 2013
“Star Performers in 21st Century Organizations”, Aguinis & O’Boyle 2013
“Page Weight Matters”, Zacharias 2012
“Indefinite Survival through Backup Copies”, Sandberg & Armstrong 2012
“Predicting the Outcome of Roulette”, Small & Tse 2012
“Uniform Random Generation of Large Acyclic Digraphs”, Kuipers & Moffa 2012
“Counting YouTube Videos via Random Prefix Sampling”, Zhou et al 2011
“Emergence of Good Conduct, Scaling and Zipf Laws in Human Behavioral Sequences in an Online World”, Thurner et al 2011
Emergence of good conduct, scaling and Zipf laws in human behavioral sequences in an online world
“Quality of Random Number Generators Affects Results of Monte Carlo Simulations for Organic and Biological Systems”, Click et al 2011
“When to Stop: How to Gamble If You Must—The Mathematics of Optimal Stopping”, Hill 2009
When to Stop: How to gamble if you must—the mathematics of optimal stopping
“Optimal Stopping of a Brownian Bridge”, Ekström & Wanntorp 2009
“Weldon’s Dice, Automated”, Labby 2009
“The Epic Story of Maximum Likelihood”, Stigler 2007
“Power-Law Distributions in Empirical Data”, Clauset et al 2007
“The Complex Dynamics of Collaborative Tagging”, Halpin et al 2007
“An Introduction to the Theory of Citing”, Simkin & Roychowdhury 2007
“Isaac Newton As a Probabilist”, Stigler 2006
“Modeling Bursts and Heavy Tails in Human Dynamics”, Vazquez et al 2005
“Continuous Parameter Estimation Model: Expanding the Standard Statistical Paradigm”, Gorsuch 2005
Continuous Parameter Estimation Model: Expanding the Standard Statistical Paradigm:
“An Alternative to Null-Hypothesis Statistical-Significance Tests”, Killeen 2005
An alternative to null-hypothesis statistical-significance tests
“Modelling the Recent Common Ancestry of All Living Humans”, Rohde et al 2004
“Stochastic Modeling of Citation Slips”, Simkin & Roychowdhury 2004
“Copied Citations Create Renowned Papers?”, Simkin & Roychowdhury 2003
“Read Before You Cite!”, Simkin & Roychowdhury 2002
“The Power of Two Random Choices: A Survey of Techniques and Results”, Mitzenmacher et al 2001
The Power of Two Random Choices: A Survey of Techniques and Results
“A Primer on Regression Artifacts”, Campbell & Kenny 1999
“How Many Birds Are There?”, Gaston & Blackburn 1997
“Another Comment on O'Cinneide”, Mallows 1991
“The Mean Is within One Standard Deviation of Any Median”, O’Cinneide 1990
“A Note on Stochastic Dominance and Inequality Measures”, Muliere & Scarsini 1989
“Methods for Studying Coincidences”, Diaconis & Mosteller 1989
“Randomness Conservation Inequalities; Information and Independence in Mathematical Theories”, Levin 1984
Randomness conservation inequalities; information and independence in mathematical theories
“Application of the Buffon Needle Problem and Its Extensions to Parallel-Line Search Sampling Scheme”, Chung 1981 (page 5)
Application of the Buffon needle problem and its extensions to parallel-line search sampling scheme
“A Convergent Gambling Estimate Of The Entropy Of English”, Cover & King 1978
“Characteristic Statistical Problems of Stochastic Geometry”, Watson 1977 (page 12)
“Stabilization in Systems: Chreods and Epigenetic Landscapes”, Waddington 1977
“A Markov Process of Gene Frequency Change in a Geographically Structured Population”, Maruyama 1974
A Markov process of gene frequency change in a geographically structured population
“Been A Long, Long Time”, Lafferty 1970
“Estimating the Magnitude of Experimental Effects”, Fleiss 1969
“How Deviant Can You Be?”, Smauleson 1968
“A Simple Randomization Procedure”, Sandelius 1962
“Generation of Random Permutations of Given Number of Elements Using Random Sampling Numbers”, Rao 1961
Generation of Random Permutations of Given Number of Elements Using Random Sampling Numbers
“Chance Remarks”, Pierce 1949
“The Limits of a Measure of Skewness”, Hotelling & Solomons 1932
Wikipedia
Miscellaneous
-
/doc/statistics/probability/2018-hardin-shuffle-illustration.png: -
/doc/statistics/probability/2009-ekstrom-figure1-optimalstoppingboundaryofabrownianbridgeproblem.png: -
/doc/statistics/probability/1973-meshalkin-collectionofproblemsinprobabilitytheory.pdf -
/doc/statistics/probability/1966-feller-anintroductiontoprobabilitytheoryanditsapplications-2.pdf: -
/doc/statistics/probability/1957-feller-anintroductiontoprobabilitytheoryanditsapplications-1.pdf -
https://aleph.se/andart2/math/weird-probability-distributions/ -
https://allendowney.blogspot.com/2013/08/are-my-data-normal.html: -
https://blog.demofox.org/2017/05/29/when-random-numbers-are-too-random-low-discrepancy-sequences/: -
https://danielroelfs.com/blog/everything-is-a-linear-model/: -
https://dennybritz.com/posts/probability-monads-from-scratch/ -
https://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/: -
https://hedgehogreview.com/issues/markets-and-the-good/articles/language-machinery -
https://marckhoury.github.io/blog/counterintuitive-properties-of-high-dimensional-space/ -
https://royalsocietypublishing.org/doi/10.1098/rspa.2013.0193 -
https://twitter.com/AnthonyLeeZhang/status/1768639726557209082 -
https://www.johndcook.com/blog/2023/09/29/platonic-solids-and-integration/:View External Link:
https://www.johndcook.com/blog/2023/09/29/platonic-solids-and-integration/ -
https://www.lesswrong.com/posts/YM6Qgiz9RT7EmeFpp/how-long-does-it-take-to-become-gaussian: -
https://www.lesswrong.com/posts/no5jDTut5Byjqb4j5/six-and-a-half-intuitions-for-kl-divergence -
https://www.lesswrong.com/posts/vfb5Seaaqzk5kzChb/when-is-correlation-transitive:View External Link:
https://www.lesswrong.com/posts/vfb5Seaaqzk5kzChb/when-is-correlation-transitive -
https://www.probabilistic-numerics.org/assets/ProbabilisticNumerics.pdf#page=3 -
https://www.reddit.com/r/SampleSize/comments/fr4rnl/results_i_asked_you_to_choose_any_integer_from/ -
https://www.stat.berkeley.edu/~aldous/Real-World/million.html:
Link Bibliography
-
https://journals.sagepub.com/doi/full/10.1177/25152459231197605: “Impossible Hypotheses and Effect-Size Limits”, Wijnand A. P. van Tilburg, Lennert J. A. van Tilburg -
https://arxiv.org/abs/2210.15458#google: “Arithmetic Sampling: Parallel Diverse Decoding for Large Language Models”, Luke Vilnis, Yury Zemlyanskiy, Patrick Murray, Alexandre Passos, Sumit Sanghai -
2021-ciccione.pdf: “Can Humans Perform Mental Regression on a Graph? Accuracy and Bias in the Perception of Scatterplots”, Lorenzo Ciccione, Stanislas Dehaene -
2020-chatterjee.pdf: “A New Coefficient of Correlation”, Sourav Chatterjee -
2009-ekstrom.pdf: “Optimal Stopping of a Brownian Bridge”, Erik Ekström, Henrik Wanntorp -
2007-halpin.pdf: “The Complex Dynamics of Collaborative Tagging”, Harry Halpin, Valentin Robu, Hana Shepherd -
https://arxiv.org/abs/physics/0510117: “Modeling Bursts and Heavy Tails in Human Dynamics”, A. Vazquez, J. Gama Oliveira, Z. Dezso, K. -I. Goh, I. Kondor, A. -L. Barabasi -
https://www.ic.unicamp.br/~celio/peer2peer/math/mitzenmacher-power-of-two.pdf: “The Power of Two Random Choices: A Survey of Techniques and Results”, Michael Mitzenmacher, Andrea W. Richa, Ramesh Sitaraman -
1932-hotelling.pdf: “The Limits of a Measure of Skewness”, Harold Hotelling, Leonard M. Solomons