Inheritance diagram for MathPHP\Probability\Distribution\Continuous\Continuous:
Collaboration diagram for MathPHP\Probability\Distribution\Continuous\Continuous:
Public Member Functions | |
| inverse (float $target) | |
| The Inverse CDF of the distribution. More... | |
| between (float $x₁, float $x₂) | |
| CDF between - probability of being between two points, x₁ and x₂ The area under a continuous distribution, that lies between two specified points. More... | |
| outside (float $x₁, float $x₂) | |
| CDF outside - Probability of being below x₁ and above x₂. More... | |
| above (float $x) | |
| CDF above - Probability of being above x to ∞ Area under a continuous distribution, that lies above a specified point. More... | |
| rand () | |
| Produce a random number with a particular distribution. More... | |
 Public Member Functions inherited from MathPHP\Probability\Distribution\Distribution | |
| __construct (... $params) | |
| Constructor. More... | |
| Public Member Functions inherited from MathPHP\Probability\Distribution\Continuous\ContinuousDistribution | |
| pdf (float $x) | |
| Probability density function. More... | |
| cdf (float $x) | |
| Cumulative distribution function. More... | |
| mean () | |
| Mean average. More... | |
Public Attributes | |
| const | GUESS_THRESHOLD = 10 |
| const | GUESS_ALLOWANCE = 8 |
Member Function Documentation
◆ above()
| MathPHP\Probability\Distribution\Continuous\Continuous::above | ( | float | $x | ) |
CDF above - Probability of being above x to ∞ Area under a continuous distribution, that lies above a specified point.
P(above) = 1 - CDF(x)
- Parameters
-
float $x
- Returns
- float
◆ between()
| MathPHP\Probability\Distribution\Continuous\Continuous::between | ( | float | $x₁, |
| float | $x₂ | ||
| ) |
CDF between - probability of being between two points, x₁ and x₂ The area under a continuous distribution, that lies between two specified points.
P(between) = CDF($x₂) - CDF($x₁)
- Parameters
-
float $x₁ Lower bound float $x₂ Upper bound
- Returns
- float
◆ inverse()
| MathPHP\Probability\Distribution\Continuous\Continuous::inverse | ( | float | $target | ) |
The Inverse CDF of the distribution.
For example, if the calling class CDF definition is CDF($x, $d1, $d2) than the inverse is called as inverse($target, $d1, $d2)
- Parameters
-
float $target The area for which we are trying to find the $x
- Todo:
- check the parameter ranges.
- Returns
- number
◆ outside()
| MathPHP\Probability\Distribution\Continuous\Continuous::outside | ( | float | $x₁, |
| float | $x₂ | ||
| ) |
CDF outside - Probability of being below x₁ and above x₂.
The area under a continuous distribution, that lies above and below two points.
P(outside) = 1 - P(between) = 1 - (CDF($x₂) - CDF($x₁))
- Parameters
-
float $x₁ Lower bound float $x₂ Upper bound
- Returns
- float
◆ rand()
| MathPHP\Probability\Distribution\Continuous\Continuous::rand | ( | ) |
Produce a random number with a particular distribution.
- Returns
- number
- Exceptions
-
The documentation for this class was generated from the following file:
- src/Probability/Distribution/Continuous/Continuous.php
