How To Install libranlip1c2 on Ubuntu 18.04

In this tutorial we learn how to install libranlip1c2 on Ubuntu 18.04. libranlip1c2 is generates random variates with multivariate Lipschitz density

Introduction

In this tutorial we learn how to install libranlip1c2 on Ubuntu 18.04.

What is libranlip1c2

libranlip1c2 is:

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://www.gnu.org/software/gsl/ and UNURAN library http://statistik.wu-wien.ac.at/unuran/), generation of random variate 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-continuous densities, which works in 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)-p(y)|<M||x-y||.

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/rejection then works as follows: generatea random 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.

There are three methods to install libranlip1c2 on Ubuntu 18.04. We can use apt-get, apt and aptitude. In the following sections we will describe each method. You can choose one of them.

Install libranlip1c2 Using apt-get

Update apt database with apt-get using the following command.

sudo apt-get update

After updating apt database, We can install libranlip1c2 using apt-get by running the following command:

sudo apt-get -y install libranlip1c2

Install libranlip1c2 Using apt

Update apt database with apt using the following command.

sudo apt update

After updating apt database, We can install libranlip1c2 using apt by running the following command:

sudo apt -y install libranlip1c2

Install libranlip1c2 Using aptitude

If you want to follow this method, you might need to install aptitude first since aptitude is usually not installed by default on Ubuntu. Update apt database with aptitude using the following command.

sudo aptitude update

After updating apt database, We can install libranlip1c2 using aptitude by running the following command:

sudo aptitude -y install libranlip1c2

How To Uninstall libranlip1c2 on Ubuntu 18.04

To uninstall only the libranlip1c2 package we can use the following command:

sudo apt-get remove libranlip1c2

Uninstall libranlip1c2 And Its Dependencies

To uninstall libranlip1c2 and its dependencies that are no longer needed by Ubuntu 18.04, we can use the command below:

sudo apt-get -y autoremove libranlip1c2

Remove libranlip1c2 Configurations and Data

To remove libranlip1c2 configuration and data from Ubuntu 18.04 we can use the following command:

sudo apt-get -y purge libranlip1c2

Remove libranlip1c2 configuration, data, and all of its dependencies

We can use the following command to remove libranlip1c2 configurations, data and all of its dependencies, we can use the following command:

sudo apt-get -y autoremove --purge libranlip1c2

References

Summary

In this tutorial we learn how to install libranlip1c2 package on Ubuntu 18.04 using different package management tools: apt, apt-get and aptitude.