CompLognormal: An R Package for Composite Lognormal Distributions

In recent years, composite models based on the lognormal distribution have become popular in actuarial sciences and related areas. In this short note, we present a new R package for computing the probability density function, cumulative density function, and quantile function, and for generating random numbers of any composite model based on the lognormal distribution. The use of the package is illustrated using a real data set.

[1]  Marie Laure Delignette-Muller,et al.  Help to Fit of a Parametric Distribution to Non-Censored orCensored Data , 2015 .

[2]  Colin S Gillespie,et al.  Fitting Heavy Tailed Distributions: The poweRlaw Package , 2014, 1407.3492.

[3]  Saralees Nadarajah,et al.  New composite models for the Danish fire insurance data , 2014 .

[4]  Shriniwas S Arkatkar,et al.  Time Gap Modeling using Mixture Distributions under Mixed Traffic Conditions , 2013 .

[5]  I. Eliazar,et al.  A Langevin approach to the Log–Gauss–Pareto composite statistical structure , 2012 .

[6]  M. Denuit,et al.  Composite Lognormal–Pareto model with random threshold , 2011 .

[7]  William N. Venables,et al.  Modern Applied Statistics with S , 2010 .

[8]  David P. M. Scollnik On composite lognormal-Pareto models , 2007 .

[9]  Malwane M. A. Ananda,et al.  Modeling actuarial data with a composite lognormal-Pareto model , 2005 .

[10]  M. Crovella,et al.  Generating representative Web workloads for network and server performance evaluation , 1998, SIGMETRICS '98/PERFORMANCE '98.

[11]  James F. Gibbons,et al.  Estimation of impurity profiles in ion‐implanted amorphous targets using joined half‐Gaussian distributions , 1973 .

[12]  Michael Fackler Inflation and Excess Insurance , 2011 .

[13]  Kalle Lindblad How big is large? : A study of the limit for large insurance claims in case reserves , 2011 .

[14]  Jens Perch Nielsen,et al.  Transformation kernel estimation of insurance claim cost distributions , 2010 .