Exponential Distribution
for Quantile-Quantile Plots Exponential Distribution
for Quantile-Quantile PlotsThe exponential distribution has the probability density function:
f(x) = le[-l(x-q)]
0 <= x < ∞, l > 0, q<x
where
|
q |
is the Threshold (location) parameter |
|
l |
is the Scale parameter (an alternative parameterization is Scale parameter l=1/b) |
|
e |
is the base of the natural logarithm, sometimes called Euler's e (2.71...) |
The inverse distribution function (of probability a) is: -1/l*log(1-a)
The standardized exponential distribution function is used to determine the best
In general if the points in the Q-Q plot form a straight line, then the respective family of distributions (Exponential distribution) provides a good fit to the data; in that case, the intercept and slope of the fitted line can be interpreted as graphical estimates of the threshold (q) and scale (l) parameters, respectively.