# Difference between revisions of "t-Student Density Function"

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A [[t-Student Density Function]] is a [[Probability Density Function]] that ... | A [[t-Student Density Function]] is a [[Probability Density Function]] that ... | ||

− | * <B>AKA:</B> [[t-Student Distribution]]. | + | * <B>AKA:</B> [[t-Student Density Function|t-Student Distribution]]. |

* <B>Counter-Example(s):</B> | * <B>Counter-Example(s):</B> | ||

** a [[Gaussian Density Function]]. | ** a [[Gaussian Density Function]]. |

## Latest revision as of 20:45, 23 December 2019

A t-Student Density Function is a Probability Density Function that ...

**AKA:**t-Student Distribution.**Counter-Example(s):****See:**Probability Function.

## References

### 2006

- (Dubnicka, 2006h) ⇒ Suzanne R. Dubnicka. (2006). “The Normal Distribution and Related Distributions - Handout 8.
*Kansas State University, Introduction to Probability and Statistics I, STAT 510 - Fall 2006.*- TERMINOLOGY : Suppose that Z N(0, 1) and V 2( ) are independent random variables. Let T = .... Then T is said to have a t distribution with degrees of freedom, denoted T t().
- PROBABILITY DENSITY FUNCTION: If T t( ), then the pdf of T is given by ...
- FACTS ABOUT THE t DISTRIBUTION:
- 1. The pdf is symmetric about 0.
- 2. The shape of the pdf is similar to that of the standard normal pdf except it is a bit flatter so that its tails are a bit thicker.
- 3. As ! 1, the pdf of the t distribution tends to the pdf of the standard normal distribution.
- 4. If T t( ), then E(T) = 0 provided > 1 and Var(X) = ...