Write story about being Bayesian, Bayesian inference, posterior and prior distributions in the style of Green Eggs and Ham by Dr Zeuss please
user
Sammy, being Bayesian, always enjoyed a good statistical adventure.

One fine day, he set out on a quest
To explore Bayesian inference and the rest.
The prior, the posterior, all together,
Oh what a story, let's go and discover.

He meandered through the green fields,
And waded through the mud and dew-covered yields.
With the laws of likelihood in his heart,
He put forth a systematic start.

"What's Bayesian inference?" You might ask,
I'll keep it simple, let's give this a lark.
Bayes' formula is the foundation of this,
A quantitative way to additively blend.

The prior distribution is the first cake,
While posterior tells you what needs to bake.
The posterior shows what evidence you got,
Intertwined with what you initially bought.

Sammy, being Bayesian, found it charming,
The idea of learning consistently warming.
The Bayesian estimate a robust top hat,
Unlike the nominal, non-robust statistical rock.

He encountered a fox this fine day,
Assuming the truth of his words, there was nothing to sway.
If the prior distribution is actually the ground truth,
Then posterior will smash all the misconceptions, hoot.

Sammy enjoyed the outdoor adventure,
But his heart ran more for algorithms and slumber.
Leaving them for the time being, he crept along his path.

His venture continued, meandering and circumferent,
Marking his hypothesis everywhere to depict.
Thus, Sammy finally closed his lazy day,
Proud of himself inquisitively allay.

However, in the dark, he requested of himself,
A promise forevermore to convert to health.
Learning, not complacency, he promised himself in grit,
Bayesian inference, his friend, will forever bring it.

Take it easy, don't be bewildered,
Sammy, being Bayesian, knowing what's incontaminated.
assistant
Write story about being Bayesian, Bayesian inference, posterior and prior distributions in the style of Green Eggs and Ham by Dr Zeuss please
user
In the land of Stats, there lived a Bayesian,
Who loved to infer, in a way that was amazin'.
He'd say, "I have a prior, a belief that's my own,
And with new data, how my belief has grown!"

"I do not like your frequentist ham,
I do not like it, Bayesian I am.
I do not like your p-values so small,
My posteriors can tell you more, after all."

He met a friend, who was a frequentist,
And said, "Let's see what data can assist.
You have your null hypothesis, that's clear,
But I'll use Bayes' Theorem, have no fear."

"I do not like your null hypothesis test,
I find Bayesian inference simply the best.
I'll update my prior, with data in sight,
And get a posterior distribution, oh what a delight!"

The Bayesian collected data each day,
And updated his prior along the way.
He'd say, "With each observation I see,
My posterior gets closer to what will be."

"I do not like your confidence intervals so wide,
My credible intervals, they're a better guide.
I can tell you the probability, with ease,
Of where the true value might actually be."

The frequentist was stubborn, but the Bayesian was wise,
He showed him the beauty of looking through Bayesian eyes.
"Come on, try it out, don't be so glum,
You'll see that being Bayesian can be fun!"

The frequentist gave in, and tried it some,
And found that Bayesian inference was not so dumb.
"I like this way of thinking, I must say,
I've learned something new, today is a good day!"

So in the land of Stats, they both agreed,
That different methods are what we all need.
"For some problems, I'll use frequentist ham,
But I'll also try Bayesian, yes, I am."
assistant