Sebaran Weibull: Béda antarrépisi

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[[Image:Weibull1.png]][[Image:Weibull2.png]]
 
Fungsi kumulatip densiti diartikeun ku
The cumulative density function is defined as
:<math> F(x) = 1- e^{-(x/\lambda)^k} \qquad \mbox{for } x>0</math>
 
The [[Exponential distribution]] (whenlamun ''k'' = 1) andsarta [[Rayleigh distribution]] (whenlamun ''k'' = 2) arengarupakeun twodua specialkasus caseshusus ofdina thesebaran Weibull distribution.
 
sebaran Weibull distributionsgeus areilahar oftendipake used todina model the time until awaktu givensanggeus technicalalat deviceteknis failsgagal.
IfLamun thelaju failuregagalna ratealat ofnurun thedumasar devicekana decreases over timewaktu, onehiji choosespilihan ''k'' < 1 (resulting inhasil atina decreasingnurunna densitydensiti ''f''). If the failure rate of the device is constant over time, one chooses ''k'' = 1, again resulting in a decreasing function ''f''. If the failure rate of the device increases over time, one chooses ''k'' > 1 and obtains a density ''f'' which increases towards a maximum and then decreases forever. Manufacturers will often supply the shape and scale parameters for the lifetime distribution of a particular device. The Weibull distribution can also be used to model the distribution of wind speeds at a given location on Earth. Again, every location is characterized by a particular shape and scale parameter.
 
The [[expected value]] and [[standard deviation]] of a Weibull [[random variable]] can be expressed in terms of the [[gamma function]]: