A Skewed Model Combining Triangular and Exponential Features: The Two-faced Distribution and its Statistical Properties

A new continuous distribution model is introduced, joining triangular and exponential features, respectively on the left and right side of a hinge point. The cumulative distribution function is derived, as well as the first three moments. Expected values and the Pearson index of skewness are tabulat...

Full description

Bibliographic Details
Main Author:	Maurizio Brizzi
Format:	Article
Language:	English
Published:	Austrian Statistical Society 2016-04-01
Series:	Austrian Journal of Statistics
Online Access:	http://www.ajs.or.at/index.php/ajs/article/view/355

id	doaj-e532d396eb1d453e95a58ffddf163a6d
record_format	Article
spelling	doaj-e532d396eb1d453e95a58ffddf163a6d2021-04-22T12:33:47ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2016-04-0135410.17713/ajs.v35i4.355A Skewed Model Combining Triangular and Exponential Features: The Two-faced Distribution and its Statistical PropertiesMaurizio Brizzi0University of Bologna, ItalyA new continuous distribution model is introduced, joining triangular and exponential features, respectively on the left and right side of a hinge point. The cumulative distribution function is derived, as well as the first three moments. Expected values and the Pearson index of skewness are tabulated. A possible step-by-step approach to parameter estimation is outlined. An application to Italian geographical data is given, referring to a set of municipalities classified by population, showing a very satisfactory goodness of fit. http://www.ajs.or.at/index.php/ajs/article/view/355
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Maurizio Brizzi
spellingShingle	Maurizio Brizzi A Skewed Model Combining Triangular and Exponential Features: The Two-faced Distribution and its Statistical Properties Austrian Journal of Statistics
author_facet	Maurizio Brizzi
author_sort	Maurizio Brizzi
title	A Skewed Model Combining Triangular and Exponential Features: The Two-faced Distribution and its Statistical Properties
title_short	A Skewed Model Combining Triangular and Exponential Features: The Two-faced Distribution and its Statistical Properties
title_full	A Skewed Model Combining Triangular and Exponential Features: The Two-faced Distribution and its Statistical Properties
title_fullStr	A Skewed Model Combining Triangular and Exponential Features: The Two-faced Distribution and its Statistical Properties
title_full_unstemmed	A Skewed Model Combining Triangular and Exponential Features: The Two-faced Distribution and its Statistical Properties
title_sort	skewed model combining triangular and exponential features: the two-faced distribution and its statistical properties
publisher	Austrian Statistical Society
series	Austrian Journal of Statistics
issn	1026-597X
publishDate	2016-04-01
description	A new continuous distribution model is introduced, joining triangular and exponential features, respectively on the left and right side of a hinge point. The cumulative distribution function is derived, as well as the first three moments. Expected values and the Pearson index of skewness are tabulated. A possible step-by-step approach to parameter estimation is outlined. An application to Italian geographical data is given, referring to a set of municipalities classified by population, showing a very satisfactory goodness of fit.
url	http://www.ajs.or.at/index.php/ajs/article/view/355
work_keys_str_mv	AT mauriziobrizzi askewedmodelcombiningtriangularandexponentialfeaturesthetwofaceddistributionanditsstatisticalproperties AT mauriziobrizzi skewedmodelcombiningtriangularandexponentialfeaturesthetwofaceddistributionanditsstatisticalproperties
_version_	1721514511324676096

A Skewed Model Combining Triangular and Exponential Features: The Two-faced Distribution and its Statistical Properties

Similar Items