NMWDReliabilityFunction (jreliability v2.0 API)

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

All Implemented Interfaces:

Function, ReliabilityFunction
```
public class NMWDReliabilityFunction
extends SequentialFunction
implements ReliabilityFunction
```
The NMWDReliabilityFunction represents the NMWD ReliabilityFunction based on the WeibullReliabilityFunction with a third parameter:
R(x) = 1 - F(x) = e^-(a * x^b * e^(lambda * x))
with lambda, a > 0 and b >= 0.
While the parameter lambda scales the reliabilityFunction, the a and b parameters determine the shape of the ReliabilityFunction. This function allows to model bathtub-shaped failure rates that can directly be derived from given Weibull plots, cf. [1].
[1] Lai, C.D. and Xie, Min and Murthy, D. N. P.: A Modified Weibull Distribution. In IEEE Transactions on Reliability, Vol. 52, No. 1, 2003.

Field Summary

Fields
Modifier and Type	Field	Description
`protected double`	`a`	The used shape of the `NMWDReliabilityFunction`.
`protected double`	`b`	The used shape of the `NMWDReliabilityFunction`.
`protected double`	`lambda`	The `lambda` parameter somehow resembles the failure-rate `lambda`.

Constructor Summary

Constructors
Constructor	Description
`NMWDReliabilityFunction(double lambda, double a, double b)`	Constructs a `NMWDReliabilityFunction` with a given `lambda`, `a`, and `b`.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type Method Description

double getY(double x)
Returns the y value for y = f(x).
- 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
  - lambda
```
protected final double lambda
```
    The lambda parameter somehow resembles the failure-rate lambda.
  - a
```
protected final double a
```
    The used shape of the NMWDReliabilityFunction.
  - b
```
protected final double b
```
    The used shape of the NMWDReliabilityFunction.
- Constructor Detail
  - NMWDReliabilityFunction
```
public NMWDReliabilityFunction(double lambda,
                               double a,
                               double b)
```
    Constructs a NMWDReliabilityFunction with a given lambda, a, and b.
    
    Parameters:
    
    lambda - the scale value
    
    a - the first shape value
    
    b - the second shape value
- Method Detail
  - getY
```
public double getY(double x)
```
    Description copied from interface: Function
    
    Returns the y value for y = f(x).
    
    Specified by:
    
    getY in interface Function
    
    Parameters:
    
    x - the x value
    
    Returns:
    
    the y for y = f(x)