Probability distribution fitting: Difference between revisions

Revision as of 13:47, 26 February 2023

Revision as of 03:25, 18 May 2023

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== Shifting of distributions ==

Some probability distributions, like the [[exponential distribution|exponential]], do not support negative data values (''X'') equal to or less than zero. Yet, when negative data are present, such distributions can still be used replacing ''X'' by ''Y''=''X''-''Xm'', where ''Xm'' is the minimum value of ''X''. This replacement represents a shift of the probability distribution in positive direction, i.e. to the right, because ''Xm'' is negative. After completing the distribution fitting of ''Y'', the corresponding ''X''-values are found from ''X''=''Y''+''Xm'', which represents a back-shift of the distribution in negative direction, i.e. to the left.<br>

The technique of distribution shifting augments the chance to find a properly fitting probability distribution.