Wishart distribution (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Wishart distribution" in English language version.

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11doi.org

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archive.org

Chatfield, C.; Collins, A. J. (1980). Introduction to Multivariate Analysis. London: Chapman and Hall. pp. 103–108. ISBN 0-412-16030-7.

arxiv.org

Livan, Giacomo; Vivo, Pierpaolo (2011). "Moments of Wishart-Laguerre and Jacobi ensembles of random matrices: application to the quantum transport problem in chaotic cavities". Acta Physica Polonica B. 42 (5): 1081. arXiv:1103.2638. doi:10.5506/APhysPolB.42.1081. ISSN 0587-4254. S2CID 119599157.
Mayerhofer, Eberhard (2019-01-27). "Reforming the Wishart characteristic function". arXiv:1901.09347 [math.PR].
Fischer, Adrian; Gaunt, Robert E.; Andrey, Sarantsev (2023). "The Variance-Gamma Distribution: A Review". arXiv:2303.05615 [math.ST].

columbia.edu

stat.columbia.edu

Gelman, Andrew (2003). Bayesian Data Analysis (2nd ed.). Boca Raton, Fla.: Chapman & Hall. p. 582. ISBN 158488388X. Retrieved 3 June 2015.

doi.org

Wishart, J. (1928). "The generalised product moment distribution in samples from a normal multivariate population". Biometrika. 20A (1–2): 32–52. doi:10.1093/biomet/20A.1-2.32. JFM 54.0565.02. JSTOR 2331939.
Livan, Giacomo; Novaes, Marcel; Vivo, Pierpaolo (2018), Livan, Giacomo; Novaes, Marcel; Vivo, Pierpaolo (eds.), "Classical Ensembles: Wishart-Laguerre", Introduction to Random Matrices: Theory and Practice, SpringerBriefs in Mathematical Physics, Cham: Springer International Publishing, pp. 89–95, doi:10.1007/978-3-319-70885-0_13, ISBN 978-3-319-70885-0, retrieved 2023-05-17
Koop, Gary; Korobilis, Dimitris (2010). "Bayesian Multivariate Time Series Methods for Empirical Macroeconomics". Foundations and Trends in Econometrics. 3 (4): 267–358. doi:10.1561/0800000013.
Zanella, A.; Chiani, M.; Win, M.Z. (April 2009). "On the marginal distribution of the eigenvalues of wishart matrices" (PDF). IEEE Transactions on Communications. 57 (4): 1050–1060. doi:10.1109/TCOMM.2009.04.070143. hdl:1721.1/66900. S2CID 12437386.
Livan, Giacomo; Vivo, Pierpaolo (2011). "Moments of Wishart-Laguerre and Jacobi ensembles of random matrices: application to the quantum transport problem in chaotic cavities". Acta Physica Polonica B. 42 (5): 1081. arXiv:1103.2638. doi:10.5506/APhysPolB.42.1081. ISSN 0587-4254. S2CID 119599157.
Uhlig, H. (1994). "On Singular Wishart and Singular Multivariate Beta Distributions". The Annals of Statistics. 22: 395–405. doi:10.1214/aos/1176325375.
Pearson, Karl; Jeffery, G. B.; Elderton, Ethel M. (December 1929). "On the Distribution of the First Product Moment-Coefficient, in Samples Drawn from an Indefinitely Large Normal Population". Biometrika. 21 (1/4). Biometrika Trust: 164–201. doi:10.2307/2332556. JSTOR 2332556.
Craig, Cecil C. (1936). "On the Frequency Function of xy". Ann. Math. Statist. 7: 1–15. doi:10.1214/aoms/1177732541.
Peddada and Richards, Shyamal Das; Richards, Donald St. P. (1991). "Proof of a Conjecture of M. L. Eaton on the Characteristic Function of the Wishart Distribution". Annals of Probability. 19 (2): 868–874. doi:10.1214/aop/1176990455.
Gindikin, S.G. (1975). "Invariant generalized functions in homogeneous domains". Funct. Anal. Appl. 9 (1): 50–52. doi:10.1007/BF01078179. S2CID 123288172.
Dwyer, Paul S. (1967). "Some Applications of Matrix Derivatives in Multivariate Analysis". J. Amer. Statist. Assoc. 62 (318): 607–625. doi:10.1080/01621459.1967.10482934. JSTOR 2283988.

handle.net

hdl.handle.net

Zanella, A.; Chiani, M.; Win, M.Z. (April 2009). "On the marginal distribution of the eigenvalues of wishart matrices" (PDF). IEEE Transactions on Communications. 57 (4): 1050–1060. doi:10.1109/TCOMM.2009.04.070143. hdl:1721.1/66900. S2CID 12437386.

jstor.org

Wishart, J. (1928). "The generalised product moment distribution in samples from a normal multivariate population". Biometrika. 20A (1–2): 32–52. doi:10.1093/biomet/20A.1-2.32. JFM 54.0565.02. JSTOR 2331939.
Smith, W. B.; Hocking, R. R. (1972). "Algorithm AS 53: Wishart Variate Generator". Journal of the Royal Statistical Society, Series C. 21 (3): 341–345. JSTOR 2346290.
Pearson, Karl; Jeffery, G. B.; Elderton, Ethel M. (December 1929). "On the Distribution of the First Product Moment-Coefficient, in Samples Drawn from an Indefinitely Large Normal Population". Biometrika. 21 (1/4). Biometrika Trust: 164–201. doi:10.2307/2332556. JSTOR 2332556.
Dwyer, Paul S. (1967). "Some Applications of Matrix Derivatives in Multivariate Analysis". J. Amer. Statist. Assoc. 62 (318): 607–625. doi:10.1080/01621459.1967.10482934. JSTOR 2283988.

mit.edu

dspace.mit.edu

Zanella, A.; Chiani, M.; Win, M.Z. (April 2009). "On the marginal distribution of the eigenvalues of wishart matrices" (PDF). IEEE Transactions on Communications. 57 (4): 1050–1060. doi:10.1109/TCOMM.2009.04.070143. hdl:1721.1/66900. S2CID 12437386.

projecteuclid.org

Craig, Cecil C. (1936). "On the Frequency Function of xy". Ann. Math. Statist. 7: 1–15. doi:10.1214/aoms/1177732541.

semanticscholar.org

api.semanticscholar.org

Zanella, A.; Chiani, M.; Win, M.Z. (April 2009). "On the marginal distribution of the eigenvalues of wishart matrices" (PDF). IEEE Transactions on Communications. 57 (4): 1050–1060. doi:10.1109/TCOMM.2009.04.070143. hdl:1721.1/66900. S2CID 12437386.
Livan, Giacomo; Vivo, Pierpaolo (2011). "Moments of Wishart-Laguerre and Jacobi ensembles of random matrices: application to the quantum transport problem in chaotic cavities". Acta Physica Polonica B. 42 (5): 1081. arXiv:1103.2638. doi:10.5506/APhysPolB.42.1081. ISSN 0587-4254. S2CID 119599157.
Gindikin, S.G. (1975). "Invariant generalized functions in homogeneous domains". Funct. Anal. Appl. 9 (1): 50–52. doi:10.1007/BF01078179. S2CID 123288172.

ssrn.com

papers.ssrn.com

Nguyen, Duy. "AN IN DEPTH INTRODUCTION TO VARIATIONAL BAYES NOTE". SSRN 4541076. Retrieved 15 August 2023.

worldcat.org

search.worldcat.org

Livan, Giacomo; Vivo, Pierpaolo (2011). "Moments of Wishart-Laguerre and Jacobi ensembles of random matrices: application to the quantum transport problem in chaotic cavities". Acta Physica Polonica B. 42 (5): 1081. arXiv:1103.2638. doi:10.5506/APhysPolB.42.1081. ISSN 0587-4254. S2CID 119599157.

zbmath.org

Wishart, J. (1928). "The generalised product moment distribution in samples from a normal multivariate population". Biometrika. 20A (1–2): 32–52. doi:10.1093/biomet/20A.1-2.32. JFM 54.0565.02. JSTOR 2331939.