Probability: Difference between revisions

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===T-distribution===
===T-distribution===
* Ratio of standard normal and squared-root of Chi-sq distribution yields T-distribution.
* Ratio of standard normal and squared-root of Chi-sq distribution yields T-distribution.
** If <math>Z \sim N(0,1)</math> and <math> V \sim \Chi^2(v)</math> then <math>\frac{Z}{\sqrt{V/v}} \sim t-dist(v)</math>
** If <math>Z \sim N(0,1)</math> and <math> V \sim \Chi^2(v)</math> then <math>\frac{Z}{\sqrt{V/v}} \sim \text{t-dist}(v)</math>


===Chi-Sq Distribution===
===Chi-Sq Distribution===