Input/Output:
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| Level 2/Argument 1 | Level 1/Argument 2 |
| Level 1/Item 1 |
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| n | x | → | utpc(n,x) |
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See also: | UTPF, UTPN, UTPT |
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UTPF | Command |
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Description: | Upper Snedecor’s F Distribution Command: Returns the probability utpf(n1, n2, x) that a | ||||
| Snedecor’s F random variable is greater than x, where n1 and n2 are the numerator and | ||||
| denominator degrees of freedom of the F distribution. |
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The defining equations for utpf(n1, n2, x) are these:
•For x ≥ 0:
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| (n1 + n2) |
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| ∞ n1 – 2 |
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| • For x < 0: |
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| utpf(n1, n2, x) | = 1 |
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| The values n1 and n2 are rounded to the nearest integers and, when rounded, must be positive. | |||||||||||||||||||||||||||||||
Access: | !´LPROBABILITY LUTPF |
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Input/Output: |
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| Level 3/Argument 1 |
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| Level 2/Argument 2 | Level 1/Argument 3 | Level 1/Item 1 | |||||||||||||||||||||||
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| x | → | utpf(n1,n2,x) | |||
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See also: | UTPC, UTPN, UTPT |
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UTPN | Command |
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Type: |
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Description: Upper Normal Distribution Command: Returns the probability utpn(m, v, x) that a normal random variable is greater than x, where m and v are the mean and variance, respectively, of the normal distribution.
For all x and m, and for v > 0, the defining equation is this:
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| ∞ | – | (t – m)2 |
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utpn(m, v, x) | = | ∫ e |
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For v = 0, UTPN returns 0 for x ≥ m, and 1 for x < m.
Access: !´LPROBABILITY LUTPN | ( ´is the |