A natural parametrization of multivariate distributions with limited memory
Author
Abstract
Suggested Citation
DOI: 10.1016/j.jmva.2017.01.004
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
- Marshall, Albert W. & Olkin, Ingram, 1991. "Functional equations for multivariate exponential distributions," Journal of Multivariate Analysis, Elsevier, vol. 39(1), pages 209-215, October.
- Mai, Jan-Frederik & Scherer, Matthias & Shenkman, Natalia, 2013. "Multivariate geometric distributions, (logarithmically) monotone sequences, and infinitely divisible laws," Journal of Multivariate Analysis, Elsevier, vol. 115(C), pages 457-480.
- Ressel, Paul, 2011. "Monotonicity properties of multivariate distribution and survival functions -- With an application to Lévy-frailty copulas," Journal of Multivariate Analysis, Elsevier, vol. 102(3), pages 393-404, March.
- Colangelo, Antonio & Scarsini, Marco & Shaked, Moshe, 2005.
"Some notions of multivariate positive dependence,"
Insurance: Mathematics and Economics, Elsevier, vol. 37(1), pages 13-26, August.
- Marco Scarsini & Antonio Colangelo & Moshe Shaked, 2005. "Some notions of multivariate positive dependence," Post-Print hal-00539601, HAL.
- Mai, Jan-Frederik & Scherer, Matthias, 2009. "Lévy-frailty copulas," Journal of Multivariate Analysis, Elsevier, vol. 100(7), pages 1567-1585, August.
- Marshall, A. W. & Olkin, I., 1995. "Multivariate Exponential and Geometric Distributions with Limited Memory," Journal of Multivariate Analysis, Elsevier, vol. 53(1), pages 110-125, April.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Castañer, Anna & Claramunt, M. Mercè & Lefèvre, Claude & Loisel, Stéphane, 2019.
"Partially Schur-constant models,"
Journal of Multivariate Analysis, Elsevier, vol. 172(C), pages 47-58.
- Anna Castañer & M. Mercè Claramunt & Claude Lefèvre & Stéphane Loisel, 2019. "Partially Schur-constant models," Post-Print hal-01998057, HAL.
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.- Mai, Jan-Frederik & Scherer, Matthias & Shenkman, Natalia, 2013. "Multivariate geometric distributions, (logarithmically) monotone sequences, and infinitely divisible laws," Journal of Multivariate Analysis, Elsevier, vol. 115(C), pages 457-480.
- Koutras, M.V. & Maravelakis, P.E. & Bersimis, S., 2008. "Techniques for controlling bivariate grouped observations," Journal of Multivariate Analysis, Elsevier, vol. 99(7), pages 1474-1488, August.
- Mai, Jan-Frederik & Scherer, Matthias, 2012. "H-extendible copulas," Journal of Multivariate Analysis, Elsevier, vol. 110(C), pages 151-160.
- Jan-Frederik Mai & Steffen Schenk & Matthias Scherer, 2017. "Two Novel Characterizations of Self-Decomposability on the Half-Line," Journal of Theoretical Probability, Springer, vol. 30(1), pages 365-383, March.
- Paul Ressel, 2013. "Finite Exchangeability, Lévy-Frailty Copulas and Higher-Order Monotonic Sequences," Journal of Theoretical Probability, Springer, vol. 26(3), pages 666-675, September.
- Brigo, Damiano & Mai, Jan-Frederik & Scherer, Matthias, 2016. "Markov multi-variate survival indicators for default simulation as a new characterization of the Marshall–Olkin law," Statistics & Probability Letters, Elsevier, vol. 114(C), pages 60-66.
- Gijbels, Irène & Sznajder, Dominik, 2013. "Testing tail monotonicity by constrained copula estimation," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 338-351.
- Colangelo Antonio, 2005. "Multivariate hazard orderings of discrete random vectors," Economics and Quantitative Methods qf05010, Department of Economics, University of Insubria.
- Franco, Manuel & Vivo, Juana-María, 2010. "A multivariate extension of Sarhan and Balakrishnan's bivariate distribution and its ageing and dependence properties," Journal of Multivariate Analysis, Elsevier, vol. 101(3), pages 491-499, March.
- Kundu, Debasis & Franco, Manuel & Vivo, Juana-Maria, 2014. "Multivariate distributions with proportional reversed hazard marginals," Computational Statistics & Data Analysis, Elsevier, vol. 77(C), pages 98-112.
- Beer, Simone & Braun, Alexander & Marugg, Andrin, 2019. "Pricing industry loss warranties in a Lévy–Frailty framework," Insurance: Mathematics and Economics, Elsevier, vol. 89(C), pages 171-181.
- Cai, Jun & Wei, Wei, 2012. "On the invariant properties of notions of positive dependence and copulas under increasing transformations," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 43-49.
- Mai Jan-Frederik & Scherer Matthias, 2013. "What makes dependence modeling challenging? Pitfalls and ways to circumvent them," Statistics & Risk Modeling, De Gruyter, vol. 30(4), pages 287-306, December.
- Enrique de Amo & María del Rosario Rodríguez-Griñolo & Manuel Úbeda-Flores, 2024. "Directional Dependence Orders of Random Vectors," Mathematics, MDPI, vol. 12(3), pages 1-14, January.
- Ori Davidov & Amir Herman, 2011. "Multivariate Stochastic Orders Induced by Case-Control Sampling," Methodology and Computing in Applied Probability, Springer, vol. 13(1), pages 139-154, March.
- Fabrizio Durante & Marius Hofert & Matthias Scherer, 2010. "Multivariate Hierarchical Copulas with Shocks," Methodology and Computing in Applied Probability, Springer, vol. 12(4), pages 681-694, December.
- Colangelo, Antonio & Scarsini, Marco & Shaked, Moshe, 2006.
"Some positive dependence stochastic orders,"
Journal of Multivariate Analysis, Elsevier, vol. 97(1), pages 46-78, January.
- Marco Scarsini & Antonio Colangelo & Moshe Shaked, 2006. "Some positive dependence stochastic orders," Post-Print hal-00539122, HAL.
- Longobardi, Maria & Pellerey, Franco, 2019. "On the role of dependence in residual lifetimes," Statistics & Probability Letters, Elsevier, vol. 153(C), pages 56-64.
- Ressel Paul, 2019. "Copulas, stable tail dependence functions, and multivariate monotonicity," Dependence Modeling, De Gruyter, vol. 7(1), pages 247-258, January.
- Rafał Wójcik & Charlie Wusuo Liu, 2022. "Bivariate Copula Trees for Gross Loss Aggregation with Positively Dependent Risks," Risks, MDPI, vol. 10(8), pages 1-24, July.
More about this item
Keywords
Lack-of-memory; (logarithmically) d-monotone set function; Wide-sense geometric distribution; Marshall–Olkin distribution; Marginal equivalence in minima; Minimum divisibility; Multivariate Bernoulli distribution;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:eee:jmvana:v:155:y:2017:i:c:p:234-251. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.