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https://www.me.psu.edu/casestudy/Statistics/t.htm
The Student t distribution is generally bell-shaped, but with smaller sample sizes shows increased variability (flatter). In other words, the distribution is less peaked than a normal distribution and with thicker tails. As the sample size increases, the distribution approaches a normal distribution.
https://en.wikipedia.org/wiki/Student%27s_t-distribution
In statistics, the t-distribution was first derived as a posterior distribution in 1876 by Helmert and Lüroth. The t-distribution also appeared in a more general form as Pearson Type IV distribution in Karl Pearson's 1895 paper.. In the English-language literature the distribution takes its name from William Sealy Gosset's 1908 paper in Biometrika under the pseudonym "Student".Mean: 0 for, ν, >, 1, {\displaystyle \nu >1}, , otherwise …
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