NEGATIVE BINOMIAL: You are neither negative nor binomial. Get a better name
POISSON: You are the frictionless spherical cow of distributions
F DISTRIBUTION: Your inventor was a real asshole
NORMAL: In the real world, height is normally distributed. Just about everything else is LOG-NORMAL.
BERNOULLI: Your support is literally two numbers
DIRAC: You make Bernoulli’s support look good
CAUCHY: You literally don't have a mean, variance, skewness, or kurtosis? What are you even doing here? Get bent
BINOMIAL: "Sum of Bernoullis" is not a personality. Do better
POWER LAW: Are you an engineer who hasn't heard of the log-normal?
Are you in a meeting where you want to say "this is often small but can sometimes be big?"
Just say "power law!"
EXPONENTIAL: I hear you're memoryless?
Bet you'll remember this:
You stink
GAMMA: Even CAUCHY has a median, ffs
BETA: You're good
MIXTURE OF NORMALS: Nobody likes a fence-sitter. Pick a mode and STICK TO IT
BETA-BINOMIAL: The only thing worse than a mixture is a continuous mixture. What the hell man
STUDENT'S T DISTRIBUTION: If you're so great, why did your inventor go all Alan Smithee on you. Burn
WISHART: "The GAMMA is so useful, we should generalize it to multiple dimensions" said no one ever
INVERSE-WISHART: When the WISHART isn't esoteric enough for you, take a long hard look at your life
GEOMETRIC: You literally have an off-by-one error in your definition and now we're all paying the price
I'm not even tired
CHI-SQUARED: Ffs how many eugenicists can one field have
CONWAY-MAXWELL-POISSON: It took THREE PEOPLE to come up with this?
UNIFORM: You're the Diet LaCroix of distributions
HALF-NORMAL: Ooh, you took the normal and cut it in half, you sure earned your tenure today
FOLDED NORMAL DISTRIBUTION: Somebody saw the HALF-NORMAL and was like "I can get at least three more papers out of this"
WEIBULL: More like WEIBULLSHIT, am I right?
Yes, yes, WEIBULLSHIT, this is the highbrow statistical content my followers come for
HYPEREXPONENTIAL: Your name contains two synonyms for "fast", you have zero chill
LOG-CAUCHY: Your mean is infinite.
Your variance is infinite.
Your median is about 3.
What the actual fuck
CATEGORICAL: "Pick a card, any card" does not need a 3000-word Wikipedia entry
BENFORD: So you tell me 1 appears more often in leading digits than you'd expect by chance
Take a guess what leading digit I'd rate you out of 10
LOG-LOGISTIC: Statisticians are literally the "Have you tried logarithms?" guy from XKCD
PARETO: You're the LOG-NORMAL for jocks
FRÉCHET: You're the LOG-NORMAL for nerds
BURR: You're the LOG-NORMAL for nerdy economists
LÉVY: You're the LOG-NORMAL for jock-ey chemists
TRUNCATED NORMAL: You make the folks who invented the FOLDED NORMAL look busy
LOMAX: Stop trying to make the PARETO happen! It's not going to happen!
SKELLAM: If the POISSON is a frictionless spherical cow, the SKELLAM is a frictionless spherical cow in a vacuum at sea level
GENERALIZED NORMAL: You know that sophomore philosophy major who shows up in a Reddit thread saying "Well [your field] is really just a special case of philosophy"?
That's you
EVERYONE TELLING ME TO DO THE DIRICHLET NEXT: No
CANTOR: Even the log-Cauchy had a probability density. How do you exist
ERLANG: “Special” case of the GAMMA my ass
I’ve cleaned stuff out of my lint tray that’s more special than you
Applied statistician: [sobbing] You can’t just put “log-“ in front of a distribution and pretend it’s a new distribution!
Mathematical statisician: [points at LAPLACE] LOG-LAPLACE
MAXWELL-BOLTZMANN: I'll just keep my mouth shut, I can't afford this beef
This is the Suge Knight of distributions
SKEW-NORMAL: Got a brand new stats degree
Analyzing your first dataset
It’s not NORMAL
Maybe the solution is to add some skew?
(It isn’t)
(The solution is LOG-NORMAL)
ZERO-INFLATED NEGATIVE BINOMIAL: It's 3 AM, you've got a presentation in the morning, and your count data is really, really overdispersed
If ZINB starts looking good to you, go to sleep
HYPERGEOMETRIC: If I sample you you can bet I’ll be doing some replacement
Boom, roasted
RADEMACHER: Somebody looked at the BERNOULLI and was like "whoa too complicated"
DIRICHLET-MULTINOMIAL Everything about you is extra
DAGUM: You have TWO shape parameters and a scale parameter. Nobody's going to fit three parameters. Who the hell do you think you are
JOHNSON SU: You have four parameters. First of all, how dare you
HYPERBOLIC SECANT: From the name you might think this would be an interesting distribution. You'd be wrong, though. It's boring af
LOG-NORMAL: WE STAN A LEGEND
RAYLEIGH: Hey, uh, where'd you get your moment generating function, at the, uh, idiot store?