On characterizations of distributions by mean absolute deviation and variance bounds
Author
Abstract
Suggested Citation
DOI: 10.1007/BF00118636
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Chen, Louis H. Y., 1982. "An inequality for the multivariate normal distribution," Journal of Multivariate Analysis, Elsevier, vol. 12(2), pages 306-315, June.
- Freimer, M. & Mudholkar, G.S., 1989. "An Analogue Of Chernoff-Borovkov-Utev Inequality And Related Characterization," Papers 89-06, Rochester, Business - Quantitative Methods Working Paper Series.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- N. Nair & K. Sudheesh, 2008. "Some results on lower variance bounds useful in reliability modeling and estimation," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(3), pages 591-603, September.
- Christophe Ley & Gesine Reinert & Yvik Swan, 2014. "Approximate Computation of Expectations: the Canonical Stein Operator," Working Papers ECARES ECARES 2014-36, ULB -- Universite Libre de Bruxelles.
- Giorgos Afendras, 2013. "Unified extension of variance bounds for integrated Pearson family," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(4), pages 687-702, August.
- Mohtashami Borzadaran, G. R. & Shanbhag, D. N., 1998. "Further results based on Chernoff-type inequalities," Statistics & Probability Letters, Elsevier, vol. 39(2), pages 109-117, August.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Papadatos, N. & Papathanasiou, V., 1998. "Variational Inequalities for Arbitrary Multivariate Distributions," Journal of Multivariate Analysis, Elsevier, vol. 67(2), pages 154-168, November.
- Wei, Zhengyuan & Zhang, Xinsheng, 2008. "A matrix version of Chernoff inequality," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1823-1825, September.
- Giorgos Afendras & Vassilis Papathanasiou, 2014. "A note on a variance bound for the multinomial and the negative multinomial distribution," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(3), pages 179-183, April.
- Tang, Hsiu-Khuern & See, Chuen-Teck, 2009. "Variance inequalities using first derivatives," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1277-1281, May.
- Barman, Kalyan & Upadhye, Neelesh S., 2022. "On Brascamp–Lieb and Poincaré type inequalities for generalized tempered stable distribution," Statistics & Probability Letters, Elsevier, vol. 189(C).
- Salinelli, Ernesto, 2009. "Nonlinear principal components, II: Characterization of normal distributions," Journal of Multivariate Analysis, Elsevier, vol. 100(4), pages 652-660, April.
- Wei, Zhengyuan & Zhang, Xinsheng, 2009. "Covariance matrix inequalities for functions of Beta random variables," Statistics & Probability Letters, Elsevier, vol. 79(7), pages 873-879, April.
- Giorgos Afendras, 2013. "Unified extension of variance bounds for integrated Pearson family," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(4), pages 687-702, August.
- Goodarzi, F. & Amini, M. & Mohtashami Borzadaran, G.R., 2016. "On upper bounds for the variance of functions of the inactivity time," Statistics & Probability Letters, Elsevier, vol. 117(C), pages 62-71.
More about this item
Keywords
Characterizations; geometric; hypergeometric and Pearson; distributions; mean absolute deviation; mixtures;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:aistmt:v:43:y:1991:i:2:p:287-295. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.