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Topic: t-distribution probability density function
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Bob Hayden

Posts: 2,384
Registered: 12/6/04
t-distribution probability density function
Posted: Apr 9, 1997 10:18 PM
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----- Forwarded message from Bruce B. Richards -----

Does any one out there have the t-distribution probability density
function. The TI-83 manual has what it uses, however, it contains a
symbol which I am unfamiliar with. This symbol is what appears to be an
upside down L. Any help or explanation you can provide is (as always)
greatly appreciated.

----- End of forwarded message from Bruce B. Richards -----

It's the gamma function and you are not likely to learn much about it
in any course that I know of. I think it is most at home as a
function of a complex variable. It's just one more of those special
transcendental functions, like the Bessel functions, that come up here
and there in mathematics. Others have noted the link to the factorial
function. If the argument is an integer, you could replace the gamma
function with a factorial, though you'd better hope no one asks how to
integrate the result!-) I just tell my students that the
t-distribution is a normal distribution adjusted for the additional
error that results from estimating the population s.d. with the sample
s.d. when doing a CI for a mean.

| | Robert W. Hayden
| | Department of Mathematics
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