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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Format: | Article |
Language: | English |
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Wiley
2010-01-01
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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. |
format | Article |
id | doaj-art-1161575d9c61419c89e6c2c03c7f17ea |
institution | Kabale University |
issn | 1687-952X 1687-9538 |
language | English |
publishDate | 2010-01-01 |
publisher | Wiley |
record_format | Article |
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 |