#mathematics #probability #traffic #politics
The main error of the Monty Hall problem is: It assumes having a car is more desirable than having a goat.
#politics #traffic #Probability #mathematics
Do you want to know how to fit a probability distribution to data? Watch the latest LabPlot's video tutorial.
https://www.youtube.com/watch?v=g0OQrAVwsTw
#DistributionFitting #ProbabilityDistribution #Distribution #StatisticalDistribution #Gaussian #Log-normal #Probability #Poisson #Binomial #Exponential #MaximumLikelihood #LabPlot
#labplot #maximumlikelihood #exponential #binomial #poisson #Probability #log #gaussian #statisticaldistribution #distribution #probabilitydistribution #distributionfitting
Why Do We Overestimate The Probability Of Success?
https://thedecisionlab.com/biases/optimism-bias
#overestimate #probability #success #optimism #mindset #coaching
#coaching #mindset #optimism #success #Probability #overestimate
Latest papers: Kyriacou and Stylianou argue that at least some of us do not adequately possess the concept of #probability and that the digital dissemination of #misinformation helps foster collective irrationalities (e.g., #COVID19 underestimation) https://doi.org/10.1080/09515089.2023.2202184 @philosophy @philosophyofmind
#COVID19 #misinformation #Probability
Cover for my Clojure Data Science book https://yu7.in/6s3a2
#Clojure #Programming #DataScience #ArtificialIntelligence #MachineLearning #Statistics #Probability #Mathematics
#mathematics #Probability #statistics #MachineLearning #artificialintelligence #DataScience #Programming #clojure
A #math question on #analysis and #probability.
Finding a neat solution for this would be of tremendous help for a research project on quantum information theory.
(We need to solve a more general problem, but this would be a great start.)
@johncarlosbaez@mathstodon.xy Do you mind reposting this on @mathstodon.xy ?
Random walks have a wide range of applications, including modeling the movement of stock prices, animal migration, and the spread of infectious diseases. They are also a fundamental concept in #probability and #statistics, and have been studied extensively in the literature.
I have written a new #blogpost that goes over how to #generate the #data for the #randomwalk and how to #visualize it.
#timeseries #timeseriesanalysis #randomwalk #random #movement #physics
Post: https://www.spsanderson.com/steveondata/posts/rtip-2022-12-20/
#Physics #movement #random #timeseriesanalysis #timeseries #visualize #randomwalk #Data #generate #blogpost #statistics #Probability
Mapping of #probability descriptions to perceived numeric interpretation, useful to keep in mind when talking to patients
RT @emollick: Words choices matter when communicating probability. Is something more probable if it is “likely” or a ”serious possibility”?
One chart is a result of a survey of humans. I asked #ChatGPT its interpretations & graphed them (reloading the answer changed them a bit, but not a lot) https://t.co/3YPXIraVRZ
Data Science and Decision Making Under Uncertainty
https://vanishinggradients.fireside.fm/16
https://yewtu.be/watch?v=lNKekkR8xSg
#datascience #decisionmaking
#Probability #uncertainty
#heuristics #BoundedRationality
#BoundedRationality #heuristics #uncertainty #Probability #decisionmaking #datascience
A nice resource:
The Only #Probability Cheatsheet You'll Ever Need
https://www.wzchen.com/probability-cheatsheet
10-page probability cheatsheet that summarizes important probability concepts, formulas, and distributions, with figures, examples, and stories.
When I first looked 4 days ago I found nothing under some of my interest hashtags, but now I believe they are others out there, so it could be time for an #introduction … 😁
#science #openaccess #editing #climate #paleoclimate #probability #covid #cycling #zwift #mtb #quaker #classicalmusic #recorder #ukpolitics #sewing #crochet
Could never find anything useful on Twitter, but didn’t know about Mastodon until last week. It’s so much more interesting…
#crochet #sewing #ukpolitics #recorder #classicalmusic #quaker #mtb #zwift #cycling #Covid #Probability #paleoclimate #Climate #editing #openaccess #science #introduction
If you play an infinite number of rounds you'll have infinite payoff (#probability theory #ExpectedValue)
But if you paid $1k to play each round your real world expected value is negative rather than the #infinity $ that math says it is.
Because...
Like #Martingale betting strategy, you don't have an infinite bankroll...
Nor infinite time.
As you keep tossing tails, you have exponential payoff growth, BUT you also have linear cost growth
And you cant buy time with $
#martingale #infinity #ExpectedValue #Probability
Alen Hajek's #probability #puzzles and #paradoxes on the 80k hr podcast was mind blowing.
But I think I solved the St Petersburg Paradox.
Imagine a casino that offers exponentially increasing payoff on coin toss sequence (example outcomes below).
That should give infinite expected value, so you should be willing to pay a lot of money to play. But in reality casino can profitably price it for $1000 or so.
H pays $2
T H pays $4
T T H = $8
N*T H = 2^N $
#Paradoxes #puzzles #Probability
@ericireland It is good to be able to hold multiple thoughts in your head, to be able to use a theory while knowing it (might be) wrong, but I do not like expressing this as a #probability. You sometimes even see people building Bayesian models for this.
We know classical mechanics is wrong due to quantum mechanics. In its range of applicability it is phenomenal, however. We know quantum mechanics or relativity must be wrong (because they conflict). Are they 50% right???
GOFAI and Motecarlo Simulation added in Introduction to DataScience
https://www.buymeacoffee.com/mindaslab/gofai-motecarlo-simulation-added
#MachineLearning #ArtificialIntelligence #DataScience #julialang #Probability #Mathematics
#mathematics #Probability #julialang #DataScience #artificialintelligence #MachineLearning
RT @KirkDBorne
FREE 223-page PDF — content for the course on #Probability and #Statistics for first-year #mathematics students at Cambridge University: https://bit.ly/3rcOSDZ
————
#StatisticalLiteracy #BigData #DataScience #DataLiteracy #MachineLearning #BeDataBrilliant
#Probability #statistics #mathematics #statisticalliteracy #bigdata #datascience #dataliteracy #machinelearning #BeDataBrilliant