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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

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Journal of Dynamical Systems and Geometric Theories
Open Access Original Articles

Multivariate Generalized Exponential Distribution

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pp. 189–199Vol. 8Issue 2June 2013DOI: 10.1080/1726037X.2010.10698584XML
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2010.10698584
Pages:
189–199

Abstract

The paper mainly aims to extend the bivariate generalized exponential distribution into multivariate exponential distribution. It also provides the explicit forms of the joint cumulative distribution function and joint probability distribution function, and further discusses that the EM algorithm can be used to compute the maximum likelihood estimators of the unknown parameters.

Keywords

Generalized exponential distributionJoint probability density functionMaximum likelihood estimatorsEM algorithm

References

Bemis, B., Bain, L.J. and Higgins, J.J.1972 . Estimation and hypothesis testing for the parameters of bivariate exponential distribution . Journal of the American Statistical Association, 67 : 927 – 929 . Gupta, R.D.2007 . Generalized exponential distributions: Existing results and some recent developments . Journal of Statistical Planning and Inference, 137 : 3525 – 3536 . Gupta, R.D. and Kundu, D.1999 . Generalized exponential distributions . Australian and New Zealan Journal of Statistics, 41 : 173 – 188 . Kundu, D. and Gupta, R.D.2009 . Bivariate generalized exponential distribution . Journal of Multivariate Anlysis, 100 : 581 – 593 . Sarhan, A. and Balakrishnan, N.2007 . A new class of bivariate distribution and its mixture . Journal of the Multivariate Analysis, 98 : 1508 – 1527 .
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