# Questions tagged [probability]

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### Were $\sigma$-algebras defined for probability?

If you want a crash course in $\sigma$-algebras and probability spaces, you should absolutely read this amazing answer by @Sycorax on Cross Validated. Sycorax says something in particular though that ...
103 views

### When did the concept of probability density explicitly appear in mathematics?

I was reading the wikipedia article about the normal distribution and it's attribution by some historians of science to De Moivre(althought he lacked the concept of the probability density function) ...
28 views

### Usage of terms prior and posterior in probability

Probability function is of two types in general. They are unconditional probability and conditional probability. But the terms prior probability and posterior probability are used in place of ...
27 views

### Introduction of shape parameters in the formulation of probability distribution

I'm familiar with the definition of location, scale, and shape parameters, and the type of distributions they parametrized. I'm interested in understanding how shape parameters became part of the ...
92 views

### What is Peirce doing in this pre-Chi-squared example?

In 1878, C. S. Peirce performed a calculation that (I think) would be better done using chi-squared testing — but Pearson hasn’t introduced that yet. What exactly is Peirce doing here in the last ...
352 views

### Who coined the term “uniform” as in “uniform distribution”?

During the late 16th century and early 17th century, published work about probability theory (e.g. Liber de ludo aleae by J. Cardan published in 1663 but writen around 1564) studied dice games using ...
131 views

### Who introduced moments of a random variable first?

When, by whom and in which paper where moments of a random variable used first in probability theory?
788 views

### Poincaré and the baker: was the anecdote true?

There is a story featuring Henri Poincaré and an unscrupuolous baker. Every day Poincaré bought a piece of bread which should have weighted 1 kg. After an year, the mathematician brought the baker to ...
755 views

### Description of the Monte Carlo roulette wheel in 1913

It has been reported that on 18th August 1913, in a game of roulette at the Monte Carlo Casino, the ball fell on black 26 times in a row. This anecdote is often mentioned in the context of the gambler'...
1k views

### Did Karl Popper argue against Bayesian inference?

I am somewhat familiar with the works of Karl Popper and his opposition to using past data to induce prospects of future events, however disclaimed as uncertain, AKA historicism. He contributed to ...
56 views

### Carnap's last theory Of probability

According to Bar-Hillel, Carnap's coauthor in a 1952 report on probability, Carnap had, as of 1956 an unpublished but circulated theory distinguishing "random" refers to methods of production of ...
254 views

### First use of litte $o_p$ (little $o$ in probability) notation?

I have a follow up question from my previous question on math.SE, where I asked about the First use of little $o$ notation - for those who want to check - the answer goes back to Landau ($1909$), this ...