LognormalReliabilityFunction (jreliability v2.0 API)

java.lang.Object
- org.jreliability.function.SequentialFunction
- - org.jreliability.function.common.LognormalReliabilityFunction

All Implemented Interfaces:

Function, ReliabilityFunction
```
public class LognormalReliabilityFunction
extends SequentialFunction
implements ReliabilityFunction
```
The LognormalReliabilityFunction represents the lognormal ReliabilityFunction
R(x) = 1 - F(x) = 0.5 - 0.5 * (Math.log(x) - mu) / (rho * Math.sqrt(2))
with mu => 0, rho > 0.
The rho and mu parameter represent the standard deviation and mean of the variable's natural logarithm.

Field Summary

Fields
Modifier and Type	Field	Description
`protected double`	`mu`	The used mean of the natural logarithms of the times-to-failure.
`protected double`	`rho`	The used standard deviation of the natural logarithms of the times-to-failure.

Constructor Summary

Constructors
Constructor Description

LognormalReliabilityFunction(double mu, double rho)
Constructs a LognormalReliabilityFunction with a given mu and rho.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`double`	`getY(double x)`	The estimated log-normal reliability function (the estimation uncertainty is 3E-7 for uniformly distributed random variables).

Methods inherited from class org.jreliability.function.SequentialFunction
getY

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.jreliability.function.Function
getY

- Field Detail
  - mu
```
protected final double mu
```
    The used mean of the natural logarithms of the times-to-failure.
  - rho
```
protected final double rho
```
    The used standard deviation of the natural logarithms of the times-to-failure.
- Constructor Detail
  - LognormalReliabilityFunction
```
public LognormalReliabilityFunction(double mu,
                                    double rho)
```
    Constructs a LognormalReliabilityFunction with a given mu and rho.
    
    Parameters:
    
    mu - the mean of the variable's natural logarithm
    
    rho - the standard deviation of the variable's natural logarithm
- Method Detail
  - getY
```
public double getY(double x)
```
    The estimated log-normal reliability function (the estimation uncertainty is 3E-7 for uniformly distributed random variables).
    
    Specified by:
    
    getY in interface Function
    
    Parameters:
    
    x - the x value
    
    Returns:
    
    R(x)
    
    See Also:
    
    Function.getY(double)