Aph2_fitallKt

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public final class Aph2_fitallKt

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`final static Map<Integer, MatrixCell>`	`aph2_fitall(Double M1, Double M2, Double M3)`	Fits a set of acyclic phase-type (APH) distributions with two phases (APH(2)) to match the given moments of a random variable.

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- Constructor Detail
- Method Detail
  - aph2_fitall
```
 final static Map<Integer, MatrixCell> aph2_fitall(Double M1, Double M2, Double M3)
```
    Fits a set of acyclic phase-type (APH) distributions with two phases (APH(2)) to match the given moments of a random variable.
    This method approximates a random variable with multiple APH(2) distributions using the first three moments: the mean (M1), the second moment (M2), and the third moment (M3). The method checks the feasibility of these moments and computes the parameters for possible APH(2) distributions. If the moments cannot be exactly matched, an approximate APH(2) distribution is returned.
    The method first calculates the squared coefficient of variation (SCV) and the lower bound for M3 (M3lb) based on the moments. It then determines the number of solutions (n) and computes the parameters (h1, h2, r1) for the APH(2) distributions. Valid distributions are stored in the map APHS, with each entry keyed by an integer and containing a MatrixCell representing the transition matrices D0 and D1.
    
    Parameters:
    
    M1 - the first moment (mean) of the distribution
    
    M2 - the second moment of the distribution
    
    M3 - the third moment of the distribution
    
    Returns:
    
    a map containing possible APH(2) distributions, each represented by a MatrixCell