libranlip1c2 binary package in Ubuntu Xenial amd64
RanLip generates random variates with an arbitrary multivariate
Lipschitz density.
.
While generation of random numbers from a variety of distributions is
implemented in many packages (like GSL library
http://
http://
with an arbitrary distribution, especially in the multivariate case, is
a very challenging task. RanLip is a method of generation of random
variates with arbitrary Lipschitz-
the univariate and multivariate cases, if the dimension is not very
large (say 3-10 variables).
.
Lipschitz condition implies that the rate of change of the function (in
this case, probability density p(x)) is bounded:
.
|p(x)-
.
From this condition, we can build an overestimate of the density, so
called hat function h(x)>=p(x), using a number of values of p(x) at some
points. The more values we use, the better is the hat function. The
method of acceptance/
variate X with density h(x); generate an independent uniform on (0,1)
random number Z; if p(X)<=Z h(X), then return X, otherwise repeat all
the above steps.
.
RanLip constructs a piecewise constant hat function of the required
density p(x) by subdividing the domain of p (an n-dimensional rectangle)
into many smaller rectangles, and computes the upper bound on p(x)
within each of these rectangles, and uses this upper bound as the value
of the hat function.
Publishing history
Date | Status | Target | Component | Section | Priority | Phased updates | Version | ||
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2016-01-31 09:18:59 UTC | Published | Ubuntu Xenial amd64 | release | universe | libs | Optional | 1.0-4.2 | ||
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Deleted | Ubuntu Xenial amd64 | proposed | universe | libs | Optional | 1.0-4.2 | |||
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2016-01-31 09:19:25 UTC | Superseded | Ubuntu Xenial amd64 | release | universe | libs | Optional | 1.0-4.1ubuntu1 | ||
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