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N. Balakrishnan, Calyampudi Rao (1998)
Order statistics : applications
C. Lacaux, A. Muller-Gueudin, R. Ranta, S. Tindel (2009)
Convergence and performance of the peeling wavelet denoising algorithmMetrika, 77
R. Arellano-Valle, M. Genton (2007)
On the exact distribution of linear combinations of order statistics from dependent random variablesJournal of Multivariate Analysis, 98
I. Pitas, A. Venetsanopoulos (1992)
Order statistics in digital image processingProc. IEEE, 80
R. Arellano-Valle, M. Genton (2010)
Special Issue \In Memory of Pilar Loreto Iglesias Zuazola" Research Paper Multivariate unied skew-elliptical distributions
Giri
Das computationally eficient order statistics based outlier detection technique for EEGsignals In in Medicine and Biology th Annual International Conference of theEngineering Society IEEE, 13
Venetsanopoulos (1992)
Pitas Order in digital processingstatistics image Proc IEEE, 28
W. Richter (2014)
Geometric disintegration and star-shaped distributionsJournal of Statistical Distributions and Applications, 1
A. Jamalizadeh, N. Balakrishnan (2013)
A note on “Maximum distributions for l2,p-symmetric vectors are skewed l1,p-symmetric distributions” by Batún-Cutz et al. (2013)Statistics & Probability Letters, 83
Richter (2013)
Geometric and stochastic representations for elliptically contoured distributions TheoryStat Methods, 31
H. David, H. Nagaraja (2005)
Order Statistics: David/Order Statistics
Günzel (2012)
Schicker Geometric approach to the skewed normal distribution InferenceStat, 16
R. Newson, N. Balakrishnan, A. Cohen (1992)
Order Statistics and Inference: Estimation Methods.
Barakat (2012)
On multivariate order Asymptotic theory and moments Kuwaitstatistics computing Sci Eng, 39
Arellano (2012)
andW On skewed continuous ln symmetric distributionsStat, 3
Galambos (1975)
of samples from multivariate distributions aOrder statistics Am Stat Assoc, 12
(2009)
Scale-basedGaussian coverings: combining intra and intermixturemodels in image segmentation
Arellano (2010)
Multivariate unified skew elliptical distributionsStat
Bapun Giri, Soumajyoti Sarkar, Satyaki Mazumder, K. Das (2015)
A computationally efficient order statistics based outlier detection technique for EEG signals2015 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC)
R. Arellano-Valle, W. Richter (2012)
Probabilistic and Inferential Aspects of Skew-Symmetric Models Special Issue : “ IV International Workshop in honour of Adelchi Azzalini ’ s 60 th Birthday ” On skewed continuous l n , p-symmetric distributions
H. David, H. Nagaraja (2003)
Order Statistics, Third Edition
Wiaux (2010)
Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave background NotAstron Soc
E. Saatci, A. Akan (2010)
Respiratory parameter estimation in non-invasive ventilation based on generalized Gaussian noise modelsSignal Process., 90
J. Batún-Cutz, G. González-Farías, W. Richter (2013)
Maximum distributions for l2,p-symmetric vectors are skewed l1,p-symmetric distributionsStatistics & Probability Letters, 83
S. Kejgir, M. Kokare (2009)
Optimization of Bit Plane Combination for Efficient Digital Image WatermarkingArXiv, abs/0908.4062
Arjun Gupta, D. Song (1997)
Lp-norm spherical distributionJournal of Statistical Planning and Inference, 60
K. Müller, W. Richter (2016)
Exact distributions of order statistics of dependent random variables from ln,p-symmetric sample distributions, n ∈ {3,4}Dependence Modeling, 4
Balakrishnan (1998)
editors Applications AmsterdamOrder Statistics Science
Y. Wiaux, Y. Wiaux, Gilles Puy, P. Vandergheynst (2009)
Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave backgroundMonthly Notices of the Royal Astronomical Society, 402
(2013)
A note on “Maximum distributions for l2,p-symmetric vectors are skewed l1,psymmetric distributions
Müller
Exact extreme value product and ratio distributions under non - standard assumptions AStAstat Anal, 24
S. Gupta, K. Nagel, S. Panchapakesan (1973)
On the order statistics from equally correlated normal random variablesBiometrika, 60
Müller (2016)
Extreme value distributions for dependent jointly ln symmetrically distributed random variables Depend Model, 26
F. Murtagh, Pedro Contreras, Jean-Luc Starck (2009)
Scale-Based Gaussian Coverings: Combining Intra and Inter Mixture Models in Image SegmentationEntropy, 11
J. Galambos (1975)
Order Statistics of Samples from Multivariate DistributionsJournal of the American Statistical Association, 70
B. Greenberg, A. Sarhan (1958)
Applications of order statistics to health data.American journal of public health and the nation's health, 48 10
Richter
Convex and radially concave contoured distributions Article ID pagesStat, 12
K. Müller, W. Richter (2015)
Exact extreme value, product, and ratio distributions under non-standard assumptionsAStA Advances in Statistical Analysis, 99
W. Richter (2015)
Convex and Radially Concave Contoured DistributionsJournal of Probability and Statistics, 2015
Richter (2009)
Continuous ln symmetric distributionsMath J, 30
W. Richter (2009)
Continuous ln,p-symmetric distributionsLithuanian Mathematical Journal, 49
B. Kudryashov, A. Porov, Eunmi Oh (2008)
Scalar Quantization for Audio Data CodingArXiv, abs/0806.4293
H. Barakat (2009)
Multivariate order statistics based on dependent and nonidentically distributed random variablesJ. Multivar. Anal., 100
Lacaux (2014)
and performance of the peeling wavelet denoising algorithmConvergence Metrika, 23
(2012)
On multivariate order statistics . Asymptotic theory and computing moments
K. Müller, W. Richter (2016)
Extreme value distributions for dependent jointly ln,p-symmetrically distributed random variablesDependence Modeling, 4
W. Richter (2007)
Generalized spherical and simplicial coordinatesJournal of Mathematical Analysis and Applications, 336
Balakrishnan (1991)
Order Inference Estimation AcademicStatistics Methods
W. Richter, J. Venz (2014)
Geometric representations of multivariate skewed elliptically contoured distributions
A. Jamalizadeh, N. Balakrishnan (2010)
Distributions of order statistics and linear combinations of order statistics from an elliptical distribution as mixtures of unified skew-elliptical distributionsJ. Multivar. Anal., 101
Kudryashov (2008)
quantization for audio data coding Available at https arxiv org ftp arxiv papers pdf, 22
R. Arellano-Valle, M. Genton (2005)
On fundamental skew distributionsJournal of Multivariate Analysis, 96
W. Richter (2013)
Geometric and Stochastic Representations for Elliptically Contoured DistributionsCommunications in Statistics - Theory and Methods, 42
Müller (2016)
a Exact distributions of order statistics of dependent random variables from ln psymmetric sample distributions Depend Model, 25
R. Arellano-Valle, M. Genton (2008)
Corrigendum to “On the exact distribution of linear combinations of order statistics from dependent random variables”: [J. Multivariate Anal. 98 (2007) 1876–1894]Journal of Multivariate Analysis, 99
T. Günzel, W. Richter, Stefan Scheutzow, Kay Schicker, J. Venz (2012)
Geometric approach to the skewed normal distributionJournal of Statistical Planning and Inference, 142
Andrew Glen, L. Leemis, D. Barr (2001)
Order statistics in goodness-of-fit testingIEEE Trans. Reliab., 50
Sobhan Shafiei, M. Doostparast, A. Jamalizadeh (2015)
Prediction of Variables Via Their Order Statistics in Bivariate Elliptical Distributions with Application in the Financial MarketsCommunications in Statistics - Theory and Methods, 44
Y. Wiaux, Y. Wiaux, L. Jacques, L. Jacques, Gilles Puy, A. Scaife, P. Vandergheynst (2008)
Compressed sensing imaging techniques for radio interferometryMonthly Notices of the Royal Astronomical Society, 395
Wiaux (2009)
Compressed sensing imaging techniques for radio interferometry NotAstron Soc
Gupta (1997)
lp - norm spherical distributions InferenceStat, 17
B. Arnold, E. Castillo, J. Sarabia (2009)
On multivariate order statistics. Application to ranked set samplingComput. Stat. Data Anal., 53
AbstractWe derive the exact distributions of order statistics from a finite number of, in general, dependent random variables following a joint ln,p-symmetric distribution. To this end,we first review the special cases of order statistics fromspherical aswell as from p-generalized Gaussian sample distributions from the literature. To study the case of general ln,p-dependence, we use both single-out and cone decompositions of the events in the sample space that correspond to the cumulative distribution function of the kth order statistic if they are measured by the ln,p-symmetric probability measure.We show that in each case distributions of the order statistics from ln,p-symmetric sample distribution can be represented as mixtures of skewed ln−ν,p-symmetric distributions, ν ∈ {1, . . . , n − 1}.
Dependence Modeling – de Gruyter
Published: Aug 28, 2017
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