dpareto

This function evaluates the density of a Pareto r.v.s

density.

Estimates a lognormal-Pareto mixture by means of the Expectation-Conditional-Maximization-Either algorithm and by maximizing the profile likelihood function. A likelihood ratio test for discriminating between lognormal and Pareto tail is also implemented. See Bee, M. (2022) <doi:10.1007/s11634-022-00497-4>.

Marco Bee

LNPar

Estimation and Testing for a Lognormal-Pareto Mixture

dpareto function

<dl><dt>x</dt>
<dd>numerical vector (&gt;=xmin): values where the density has to be evaluated.</dd>
<dt>xmin</dt>
<dd>positive scalar: Pareto scale parameter.</dd>
<dt>alpha</dt>
<dd>positive scalar: Pareto shape parameter.</dd></dl>

Arguments

density of a Pareto r.v. — dpareto

<dl>

<dt>x</dt>
<dd>numerical vector (&gt;=xmin): values where the density has to be evaluated.</dd>


<dt>xmin</dt>
<dd>positive scalar: Pareto scale parameter.</dd>


<dt>alpha</dt>
<dd>positive scalar: Pareto shape parameter.</dd>

</dl>

dpareto: density of a Pareto r.v.

Description

Usage

Value

Arguments

Examples