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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
SplicedDistribution
SplicedDistribution[{w1, w2, ..., wn}, {c0, c1, ..., cn}, {dist1, dist2, ..., distn}]
represents the distribution obtained by splicing the distributions
,
, ... truncated on the intervals
,
, ... with weights
,
, ... .
DetailsDetails
- SplicedDistribution is equivalent to MixtureDistribution[{w1, w2, ...}, {TruncatedDistribution[{c0, c1}, dist1], ...}].
- The distributions
,
, ... need to be all continuous univariate distributions. - The weights
can be any non-negative real numbers. - The interval limits
can can be any real numbers such that
. - SplicedDistribution can be used with such functions as Mean, CDF, and RandomVariate, etc.
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