Another Remark on the Alternative Expectation Formula.
Students in a calculus-based probability course will often see the expectation formula for nonnegative continuous random variables in terms of the survival function. This alternative expectation formula has a wide spectrum of applications. It is natural to ask whether there is a multivariate version...
| Publicado en: | American Statistician Vol. 69; no. 3; pp. 157 - 160 |
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| Formato: | Artículo |
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Taylor & Francis Ltd
Aug2015
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ssf&AN=109173242&site=ehost-live header: @attributes: shortDbName: ssf uiTerm: 109173242 longDbName: Social Sciences Full Text (H.W. Wilson) uiTag: AN controlInfo: bkinfo: jinfo: jid: 00031305 STT jtl: American Statistician issn: 00031305 maglogo: Y pubinfo: dt: Aug2015 vid: 69 iid: 3 pid: 377 pub: Taylor & Francis Ltd artinfo: ui: 109173242 10.1080/00031305.2015.1049710 ppf: 157 ppct: 3 formats: tig: atl: Another Remark on the Alternative Expectation Formula. aug: au: Hong, Liang su: Expectancy theories Integration by parts Multivariate analysis Random variables Probability density function sug: subj: Expectancy theories Integration by parts Multivariate analysis Random variables Probability density function keyword: Expectation Nonnegative continuous random variable Survival function. Expectation Nonnegative continuous random variable Survival function. ab: Students in a calculus-based probability course will often see the expectation formula for nonnegative continuous random variables in terms of the survival function. This alternative expectation formula has a wide spectrum of applications. It is natural to ask whether there is a multivariate version of this formula. This note gives an affirmative answer by establishing such a formula using two different approaches. The two approaches employed in this note correspond to the two approaches for the univariate case. Supplementary materials for this article are available online. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: N holdings: @attributes: islocal: N |
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