 See Also

Links
 “Fair Coins Tend to Land on the Same Side They Started: Evidence from 350,757 Flips”, Bartoš et al 2023
 “The Lindy Effect”, Ord 2023
 “Arithmetic Sampling: Parallel Diverse Decoding for Large Language Models”, Vilnis et al 2022
 “Why Are Romanperiod Dice Asymmetrical? An Experimental and Quantitative Approach”, Eerkens & Voogt 2022
 “Policy Learning and Evaluation With Randomized QuasiMonte Carlo”, Arnold et al 2022
 “Learning in High Dimension Always Amounts to Extrapolation”, Balestriero 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
 “Followup: I Found Two Identical Packs of Skittles, among 468 Packs With a Total of 27,740 Skittles”, Farmer 2019
 “Statistical Aspects of Wasserstein Distances”, Panaretos & Zemel 2019
 “Finite Mixture Models”, McLachlan et al 2019
 “Test Driving 'Power of Two Random Choices' Load Balancing”, Tarreau 2019
 “Tweedie Gradient Boosting for Extremely Unbalanced Zeroinflated 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
 “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 GumbelSoftmax”, Jang et al 2016
 “The Concrete Distribution: A Continuous Relaxation of Discrete Random Variables”, Maddison et al 2016
 “Calculating The Gaussian Expected Maximum”, Gwern 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 BirthDeath Dynamics, but Suppressors of Selection for DeathBirth Dynamics”, Hindersin & Traulsen 2015
 “Leaky Pipelines”, Gwern 2014
 “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”, JamiesonLane & Hauert 2013
 “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
 “Quality of Random Number Generators Affects Results of Monte Carlo Simulations for Organic and Biological Systems”, Click et al 2011
 “Optimal Stopping of a Brownian Bridge”, Ekström & Wanntorp 2009
 “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
 “Continuous Parameter Estimation Model: Expanding the Standard Statistical Paradigm”, Gorsuch 2005
 “An Alternative to Nullhypothesis Statisticalsignificance Tests”, Killeen 2005
 “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 Parallelline 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
 “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
 Sort By Magic
 Wikipedia
 Miscellaneous
 Link Bibliography
See Also
Links
“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”
“The Lindy Effect”, Ord 2023
“Arithmetic Sampling: Parallel Diverse Decoding for Large Language Models”, Vilnis et al 2022
“Arithmetic Sampling: Parallel Diverse Decoding for Large Language Models”
“Why Are Romanperiod Dice Asymmetrical? An Experimental and Quantitative Approach”, Eerkens & Voogt 2022
“Why are Romanperiod dice asymmetrical? An experimental and quantitative approach”
“Policy Learning and Evaluation With Randomized QuasiMonte Carlo”, Arnold et al 2022
“Policy Learning and Evaluation with Randomized QuasiMonte Carlo”
“Learning in High Dimension Always Amounts to Extrapolation”, Balestriero et al 2021
“Learning in High Dimension Always Amounts to Extrapolation”
“A New Coefficient of Correlation”, Chatterjee 2020
“Monte Carlo Gradient Estimation in Machine Learning”, Mohamed et al 2019
“Going Critical”, Simler 2019
“Followup: I Found Two Identical Packs of Skittles, among 468 Packs With a Total of 27,740 Skittles”, Farmer 2019
“Statistical Aspects of Wasserstein Distances”, Panaretos & Zemel 2019
“Finite Mixture Models”, McLachlan et al 2019
“Test Driving 'Power of Two Random Choices' Load Balancing”, Tarreau 2019
“Tweedie Gradient Boosting for Extremely Unbalanced Zeroinflated Data”, Zhou et al 2018
“Tweedie Gradient Boosting for Extremely Unbalanced Zeroinflated 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”
“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 GumbelSoftmax”, 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”
“Calculating The Gaussian Expected Maximum”, Gwern 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 BirthDeath Dynamics, but Suppressors of Selection for DeathBirth Dynamics”, Hindersin & Traulsen 2015
“Leaky Pipelines”, Gwern 2014
“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
“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”, JamiesonLane & Hauert 2013
“Fixation probabilities on superstars, revisited and revised”
“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
“Quality of Random Number Generators Affects Results of Monte Carlo Simulations for Organic and Biological Systems”, Click et al 2011
“Optimal Stopping of a Brownian Bridge”, Ekström & Wanntorp 2009
“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
“Continuous Parameter Estimation Model: Expanding the Standard Statistical Paradigm”, Gorsuch 2005
“Continuous Parameter Estimation Model: Expanding the Standard Statistical Paradigm”
“An Alternative to Nullhypothesis Statisticalsignificance Tests”, Killeen 2005
“An alternative to nullhypothesis statisticalsignificance tests”
“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 Parallelline 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)
“Characteristic Statistical Problems of Stochastic Geometry”
“Stabilization in Systems: Chreods and Epigenetic Landscapes”, Waddington 1977
“Stabilization in systems: Chreods and epigenetic landscapes”
“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
“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
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/doc/statistics/probability/1973meshalkincollectionofproblemsinprobabilitytheory.pdf

/doc/statistics/probability/1966felleranintroductiontoprobabilitytheoryanditsapplications2.pdf

/doc/statistics/probability/1957felleranintroductiontoprobabilitytheoryanditsapplications1.pdf

https://aleph.se/andart2/math/weirdprobabilitydistributions/

https://dennybritz.com/posts/probabilitymonadsfromscratch/

https://hedgehogreview.com/issues/marketsandthegood/articles/languagemachinery

https://marckhoury.github.io/blog/counterintuitivepropertiesofhighdimensionalspace/

https://royalsocietypublishing.org/doi/10.1098/rspa.2013.0193

https://www.johndcook.com/blog/2023/09/29/platonicsolidsandintegration/

https://www.lesswrong.com/posts/YM6Qgiz9RT7EmeFpp/howlongdoesittaketobecomegaussian

https://www.lesswrong.com/posts/no5jDTut5Byjqb4j5/sixandahalfintuitionsforkldivergence

https://www.probabilisticnumerics.org/assets/ProbabilisticNumerics.pdf#page=3
Link Bibliography

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 
2020chatterjee.pdf
: “A New Coefficient of Correlation”, Sourav Chatterjee 
orderstatistic
: “Calculating The Gaussian Expected Maximum”, Gwern 
pipeline
: “Leaky Pipelines”, Gwern 
2009ekstrom.pdf
: “Optimal Stopping of a Brownian Bridge”, Erik Ekström, Henrik Wanntorp 
2007halpin.pdf
: “The Complex Dynamics of Collaborative Tagging”, Harry Halpin, Valentin Robu, Hana Shepherd 
https://www.ic.unicamp.br/~celio/peer2peer/math/mitzenmacherpoweroftwo.pdf
: “The Power of Two Random Choices: A Survey of Techniques and Results”, Michael Mitzenmacher, Andrea W. Richa, Ramesh Sitaraman 
1932hotelling.pdf
: “The Limits of a Measure of Skewness”, Harold Hotelling, Leonard M. Solomons