Comparing Estimation Methods for the FPLD

We use the quantile function to define statistical models. In particular, we present a five-parameter version of the generalized lambda distribution (FPLD). Three alternative methods for estimating its parameters are proposed and their properties are investigated and compared by making use of real a...

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Main Author: Agostino Tarsitano
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2010/295042
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author Agostino Tarsitano
author_facet Agostino Tarsitano
author_sort Agostino Tarsitano
collection DOAJ
description We use the quantile function to define statistical models. In particular, we present a five-parameter version of the generalized lambda distribution (FPLD). Three alternative methods for estimating its parameters are proposed and their properties are investigated and compared by making use of real and simulated datasets. It will be shown that the proposed model realistically approximates a number of families of probability distributions, has feasible methods for its parameter estimation, and offers an easier way to generate random numbers.
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institution Kabale University
issn 1687-952X
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language English
publishDate 2010-01-01
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series Journal of Probability and Statistics
spelling doaj-art-1161575d9c61419c89e6c2c03c7f17ea2025-02-03T06:01:42ZengWileyJournal of Probability and Statistics1687-952X1687-95382010-01-01201010.1155/2010/295042295042Comparing Estimation Methods for the FPLDAgostino Tarsitano0Dipartimento di Economia e Statistica, Università della Calabria, Via Pietro Bucci, Cubo 1C, 87136 Rende (CS), ItalyWe use the quantile function to define statistical models. In particular, we present a five-parameter version of the generalized lambda distribution (FPLD). Three alternative methods for estimating its parameters are proposed and their properties are investigated and compared by making use of real and simulated datasets. It will be shown that the proposed model realistically approximates a number of families of probability distributions, has feasible methods for its parameter estimation, and offers an easier way to generate random numbers.http://dx.doi.org/10.1155/2010/295042
spellingShingle Agostino Tarsitano
Comparing Estimation Methods for the FPLD
Journal of Probability and Statistics
title Comparing Estimation Methods for the FPLD
title_full Comparing Estimation Methods for the FPLD
title_fullStr Comparing Estimation Methods for the FPLD
title_full_unstemmed Comparing Estimation Methods for the FPLD
title_short Comparing Estimation Methods for the FPLD
title_sort comparing estimation methods for the fpld
url http://dx.doi.org/10.1155/2010/295042
work_keys_str_mv AT agostinotarsitano comparingestimationmethodsforthefpld