Characterization of Generalized Distribution by Doubly Truncated Moment

In this paper characterization properties based on conditional expectation of a continuous function of random variable are studied when truncation is from both the sides, left and right. Then, these results are applied to obtain the k-th doubly truncated moment for a general class of distribution. F...
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Autor*in:	Haseeb Athar [verfasserIn] Yahia Abdel-Aty [verfasserIn] Mohd. Almech Ali [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	truncated moment characterization pareto distribution power function distribution exponential distribution exponentiated pareto distribution

Übergeordnetes Werk:	In: Statistica - University of Bologna, 2013, 81(2021), 1, Seite 25-44
Übergeordnetes Werk:	volume:81 ; year:2021 ; number:1 ; pages:25-44

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.6092/issn.1973-2201/10718

Katalog-ID:	DOAJ002570181

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language	English
source	In Statistica 81(2021), 1, Seite 25-44 volume:81 year:2021 number:1 pages:25-44
sourceStr	In Statistica 81(2021), 1, Seite 25-44 volume:81 year:2021 number:1 pages:25-44
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	truncated moment characterization pareto distribution power function distribution exponential distribution exponentiated pareto distribution Statistics
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authorswithroles_txt_mv	Haseeb Athar @@aut@@ Yahia Abdel-Aty @@aut@@ Mohd. Almech Ali @@aut@@
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author	Haseeb Athar
spellingShingle	Haseeb Athar misc HA1-4737 misc truncated moment misc characterization misc pareto distribution misc power function distribution misc exponential distribution misc exponentiated pareto distribution misc Statistics Characterization of Generalized Distribution by Doubly Truncated Moment
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topic_title	HA1-4737 Characterization of Generalized Distribution by Doubly Truncated Moment truncated moment characterization pareto distribution power function distribution exponential distribution exponentiated pareto distribution
topic	misc HA1-4737 misc truncated moment misc characterization misc pareto distribution misc power function distribution misc exponential distribution misc exponentiated pareto distribution misc Statistics
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title	Characterization of Generalized Distribution by Doubly Truncated Moment
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title_sort	characterization of generalized distribution by doubly truncated moment
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title_auth	Characterization of Generalized Distribution by Doubly Truncated Moment
abstract	In this paper characterization properties based on conditional expectation of a continuous function of random variable are studied when truncation is from both the sides, left and right. Then, these results are applied to obtain the k-th doubly truncated moment for a general class of distribution. Further, some examples and particular cases based on this general class of distributions are also demonstrated. The results are obtained in simple and explicit manner which also unifies the earlier results obtained by several authors. In the end, simulation study is performed to validate the correctness of theoretical characterization results and then two real life data sets are used to demonstrate the applications of these results.
abstractGer	In this paper characterization properties based on conditional expectation of a continuous function of random variable are studied when truncation is from both the sides, left and right. Then, these results are applied to obtain the k-th doubly truncated moment for a general class of distribution. Further, some examples and particular cases based on this general class of distributions are also demonstrated. The results are obtained in simple and explicit manner which also unifies the earlier results obtained by several authors. In the end, simulation study is performed to validate the correctness of theoretical characterization results and then two real life data sets are used to demonstrate the applications of these results.
abstract_unstemmed	In this paper characterization properties based on conditional expectation of a continuous function of random variable are studied when truncation is from both the sides, left and right. Then, these results are applied to obtain the k-th doubly truncated moment for a general class of distribution. Further, some examples and particular cases based on this general class of distributions are also demonstrated. The results are obtained in simple and explicit manner which also unifies the earlier results obtained by several authors. In the end, simulation study is performed to validate the correctness of theoretical characterization results and then two real life data sets are used to demonstrate the applications of these results.
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title_short	Characterization of Generalized Distribution by Doubly Truncated Moment
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score	7.400319

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Characterization of Generalized Distribution by Doubly Truncated Moment

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