Further characterization based on conditional expectations: new and extended findings

ABSTRACTOn the basis of conditional expectation of a random variable function, we present few characterization findings in this study. For a given function g, [Formula: see text], we present necessary and sufficient conditions for characterization results in terms of a single function [Formula: see...

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Main Author: Ali. A. Al-Shomrani
Format: Article
Language:English
Published: Taylor & Francis Group 2023-12-01
Series:Journal of Taibah University for Science
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/16583655.2023.2201966
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author Ali. A. Al-Shomrani
author_facet Ali. A. Al-Shomrani
author_sort Ali. A. Al-Shomrani
collection DOAJ
description ABSTRACTOn the basis of conditional expectation of a random variable function, we present few characterization findings in this study. For a given function g, [Formula: see text], we present necessary and sufficient conditions for characterization results in terms of a single function [Formula: see text]. Some of these findings are completely novel, while others are expansions of previously published characterizations.
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spelling doaj.art-e626ffb4c15d4608a4f2ba3ac3d8e0552024-04-10T20:17:48ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552023-12-0117110.1080/16583655.2023.2201966Further characterization based on conditional expectations: new and extended findingsAli. A. Al-Shomrani0Faculty of Science, Department of Statistics, King Abdulaziz University, Jeddah, Saudi ArabiaABSTRACTOn the basis of conditional expectation of a random variable function, we present few characterization findings in this study. For a given function g, [Formula: see text], we present necessary and sufficient conditions for characterization results in terms of a single function [Formula: see text]. Some of these findings are completely novel, while others are expansions of previously published characterizations.https://www.tandfonline.com/doi/10.1080/16583655.2023.2201966Probability distributioncharacterizationsconditional expectation
spellingShingle Ali. A. Al-Shomrani
Further characterization based on conditional expectations: new and extended findings
Journal of Taibah University for Science
Probability distribution
characterizations
conditional expectation
title Further characterization based on conditional expectations: new and extended findings
title_full Further characterization based on conditional expectations: new and extended findings
title_fullStr Further characterization based on conditional expectations: new and extended findings
title_full_unstemmed Further characterization based on conditional expectations: new and extended findings
title_short Further characterization based on conditional expectations: new and extended findings
title_sort further characterization based on conditional expectations new and extended findings
topic Probability distribution
characterizations
conditional expectation
url https://www.tandfonline.com/doi/10.1080/16583655.2023.2201966
work_keys_str_mv AT aliaalshomrani furthercharacterizationbasedonconditionalexpectationsnewandextendedfindings