You can use this analysis object to calculate the distribution function or density function of the most important theoretical distributions.
The analysis object can calculate continuous, discrete and test distributions. For each distribution, either the density or the distribution function can be determined either in the interval [0, 1] or as a percentage. You can include the curves determined in this way to compare histograms, for example.
The result is a signal with the desired distribution function. The object can take the X component for this from a data set or calculate it based on the parameters specified.
Available Functions
The following functions are available:
Category |
Distribution |
Density function f(x) and distribution function F(x) |
Parameter |
|---|---|---|---|
Continuous distributions |
Normal distribution |
|
• (expected value) • (variance) |
Log normal distribution |
|
• • |
|
Exponential distribution |
|
• (inverse scale parameter) |
|
Weibull distribution |
|
• • (shape parameter) These parameters can be used to calculate the characteristic service life |
|
Test distributions |
Chi-square distribution |
|
• (number of degrees of freedom) |
Student's t distribution |
|
• (number of degrees of freedom) |
|
F distribution |
|
• (number of degrees of freedom in the denominator) |
|
Continuous distributions |
Binomial distribution |
|
• (number of experiments) • (probability of success or hit) |
Poisson distribution |
|
• (average event rate) |
and the inverse scale parameter 
.
References
Hartung, Joachim (1993). Statistik (Statistics), 9th Edition. Oldenbourg Verlag GmbH, Munich. ISBN 3-486-22055-1.