DOI: 10.1016/s0047-259x(02)00013-1. Multivariate quadratic forms of random vectors

Multivariate quadratic forms of random vectors

10.1016/s0047-259x(02)00013-1

Crossref journal-article

Elsevier BV

Journal of Multivariate Analysis (78)

Bibliography

Blacher, R. (2003). Multivariate quadratic forms of random vectors. Journal of Multivariate Analysis, 87(1), 2â23.

Authors 1

René Blacher (first)

References 39 Referenced 10

R. Blacher, Quelques applications des fonctions orthogonales en probabilité et statistique, Thèse, de l'Université Joseph Fourier, Grenoble I, 1990.
R. Blacher, Distributions of the sum and of the quadratic forms of n random vectors, Rapport Technique 176 LMC-IMAG, 1998.
10.1214/aoms/1177704013 / Ann. Math. Statist. / Properties of generalized Raleigh distributions by Blumenson (1963)
{'key': '10.1016/S0047-259X(02)00013-1_BIB4', 'first-page': '945', 'article-title': 'Test Hilbertiens et test du chi-deux', 'volume': '286', 'author': 'Bosq', 'year': '1978', 'journal-title': 'C. R. Acad. Sci. Paris Ser. A'} / C. R. Acad. Sci. Paris Ser. A / Test Hilbertiens et test du chi-deux by Bosq (1978)
D. Bosq, Functional test of fit, Proceedings of the International Workshop on Goodness-of-fit Tests and Validity of Models, 2000.
10.1214/aoms/1177698878 / Ann. Math. Statist. / Series représentations of distributions of quadratic forms in normal variables II, non central case by Boyd (1967)
{'key': '10.1016/S0047-259X(02)00013-1_BIB7', 'series-title': 'An Introduction to Orthogonal Polynomials', 'author': 'Chihara', 'year': '1978'} / An Introduction to Orthogonal Polynomials by Chihara (1978)
10.1006/jmva.1997.1710 / J. Multivariate Anal. / The generalized integer Gamma distribution—a basis for distributions in multivariate statistics by Coelho (1998)
{'key': '10.1016/S0047-259X(02)00013-1_BIB9', 'series-title': "L'analyse Statistique des séries d’évenement", 'author': 'Cox', 'year': '1969'} / L'analyse Statistique des séries d’évenement by Cox (1969)
10.1002/cpa.3160410203 / Comm. Pure Appl. Math. / Frames in the Bargmann spaces of entire functions by Daubechies (1988)
Z.N. D'jachenko, Distribution surface of γ type, Trudy VI Vsesoyunznogo Soveshchaniya po teroii verojatnostei, Mathematicheskoi Statistike, Vilnjus, pp. 389–395 (in Russian).
R.A. Gideon, J. Gurland, Series expansions for quadratic forms in normal variables, J. Amer. Statist. Assoc. 71 (1976) 353, 227–232. (10.1080/01621459.1976.10481520)
10.1214/aoms/1177728491 / Ann. Math. Statist. / Distribution of quadratic forms and some applications by Grad (1955)
{'key': '10.1016/S0047-259X(02)00013-1_BIB14', 'first-page': '374', 'article-title': 'The distribution of quadratic forms in normal variates', 'volume': '7', 'author': 'Grenander', 'year': '1959', 'journal-title': 'SIAM'} / SIAM / The distribution of quadratic forms in normal variates by Grenander (1959)
10.1214/aoms/1177697511 / Ann. Math. Statist. / The canonical correlation coefficients of bivariate gamma distributions by Griffiths (1969)
10.1214/aoms/1177704004 / Ann. Math. Statist. / Probability integrals of multivariate normal and multivariate t by Gupta (1963)
{'key': '10.1016/S0047-259X(02)00013-1_BIB17', 'first-page': '37', 'article-title': 'Quadratic forms in normally distributed random variables', 'volume': '17', 'author': 'Gurland', 'year': '1956', 'journal-title': 'Sankhya'} / Sankhya / Quadratic forms in normally distributed random variables by Gurland (1956)
{'key': '10.1016/S0047-259X(02)00013-1_BIB18', 'series-title': 'Brownian Motion', 'author': 'Hida', 'year': '1980'} / Brownian Motion by Hida (1980)
10.1111/j.1467-842X.1970.tb00108.x / Aust. J. Stat. / The joint distribution of quadratic form and related distributions by Jensen (1970)
{'key': '10.1016/S0047-259X(02)00013-1_BIB20', 'series-title': 'Distributions in Statistics, Continuous Univariate Distributions-2', 'author': 'Johnson', 'year': '1970'} / Distributions in Statistics, Continuous Univariate Distributions-2 by Johnson (1970)
{'key': '10.1016/S0047-259X(02)00013-1_BIB21', 'series-title': 'Distributions in Statistics, Continuous Multivariate Distributions', 'author': 'Johnson', 'year': '1972'} / Distributions in Statistics, Continuous Multivariate Distributions by Johnson (1972)
10.1016/0378-3758(77)90014-3 / J. Statist. Plann. Inference / A note on the joint distribution of correlated quadratic forms by Khatri (1977)
10.1017/S0305004100022313 / Proc. Cambridge Philos. Soc. / An extension of a theorem of Mehler on Hermite polynomials by Kibble (1945)
S. Kotz, N. Johnson, D.W. Boyd, Series representations of distributions of quadratic forms in normal variables, Ann. Math. Statist. 38 (1967) 823–837, 838–848. (10.1214/aoms/1177698877)
10.1214/aoms/1177729544 / Ann. Math. Stat. / A multivariate gamma type distribution by Krishnamoorty (1951)
10.1080/00949658408810732 / J. Statist. Comput. Simulations / Probability integrals of a bivariate Gamma distribution by Lai (1984)
10.1016/0047-259X(91)90010-Y / J. Multivariate Anal. / On a multivariate Gamma by Mathai (1991)
10.1137/0115130 / SIAM J. Appl. Math. / Relationships between biased and unbiased Raleygh distributions by Miller (1967)
{'key': '10.1016/S0047-259X(02)00013-1_BIB29', 'first-page': '639', 'article-title': 'Note on the distributions of a definite quadratic form', 'volume': '23', 'author': 'Pachares', 'year': '1955', 'journal-title': 'Ann. Math. Statist.'} / Ann. Math. Statist. / Note on the distributions of a definite quadratic form by Pachares (1955)
{'key': '10.1016/S0047-259X(02)00013-1_BIB30', 'first-page': '215', 'article-title': 'Theoretical explanation of observed decreasing failure rate', 'volume': '24', 'author': 'Proschan', 'year': '1963', 'journal-title': 'Technometrics'} / Technometrics / Theoretical explanation of observed decreasing failure rate by Proschan (1963)
{'key': '10.1016/S0047-259X(02)00013-1_BIB31', 'series-title': 'Linear Statistical Inference and its Applications', 'author': 'Rao', 'year': '1965'} / Linear Statistical Inference and its Applications by Rao (1965)
10.1214/aoms/1177730252 / Ann. Math. Statist. / The distribution of a definite quadratic form by Robbins (1948)
10.1016/0047-259X(91)90041-Y / J. Multivariate Anal. / Expansions for the multivariate chi-square distribution by Royen (1991)
{'key': '10.1016/S0047-259X(02)00013-1_BIB34', 'first-page': '373', 'article-title': 'On some central and non-central multivariate chi-square distribution', 'volume': '5', 'author': 'Royen', 'year': '1995', 'journal-title': 'Statist. Sinica'} / Statist. Sinica / On some central and non-central multivariate chi-square distribution by Royen (1995)
10.1214/aoms/1177703890 / Ann. Math. Statist. / A new result on the distribution of quadratic forms by Ruben (1963)
I.O. Sarmanov, An approximate calculation of correlation coefficient between functions of dependent variables, Mathematical Notes, Vol. 7, Academy of Sciences of the USSR, 1970, pp. 373–377. (10.1007/BF01123849)
{'key': '10.1016/S0047-259X(02)00013-1_BIB37', 'first-page': '444', 'article-title': 'Sequential χ2 test', 'volume': '79', 'author': 'Sarmanov', 'year': '1969', 'journal-title': 'Mathematicheskii Sbornik'} / Mathematicheskii Sbornik / Sequential χ2 test by Sarmanov (1969)
{'key': '10.1016/S0047-259X(02)00013-1_BIB38', 'series-title': 'Orthogonal Polynomials', 'author': 'Szego', 'year': '1959'} / Orthogonal Polynomials by Szego (1959)
{'issue': '3 and 4', 'key': '10.1016/S0047-259X(02)00013-1_BIB39', 'first-page': '415', 'article-title': 'Laguerre series forms of non central χ2 and F distributions', 'volume': '52', 'author': 'Tiku', 'year': '1965', 'journal-title': 'Biometrika'} / Biometrika / Laguerre series forms of non central χ2 and F distributions by Tiku (1965)

Dates

Type	When
Created	22 years, 1 month ago (July 16, 2003, 12:18 p.m.)
Deposited	6 years, 5 months ago (March 17, 2019, 8:59 a.m.)
Indexed	1 year, 2 months ago (June 4, 2024, 12:26 a.m.)
Issued	21 years, 10 months ago (Oct. 1, 2003)
Published	21 years, 10 months ago (Oct. 1, 2003)
Published Print	21 years, 10 months ago (Oct. 1, 2003)

Funders 0

None

BibTeX

@article{Blacher_2003, title={Multivariate quadratic forms of random vectors}, volume={87}, ISSN={0047-259X}, url={http://dx.doi.org/10.1016/s0047-259x(02)00013-1}, DOI={10.1016/s0047-259x(02)00013-1}, number={1}, journal={Journal of Multivariate Analysis}, publisher={Elsevier BV}, author={Blacher, René}, year={2003}, month=oct, pages={2–23} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        6,
        4
      ]
    ],
    "date-time": "2024-06-04T04:26:40Z",
    "timestamp": 1717475200958
  },
  "reference-count": 39,
  "publisher": "Elsevier BV",
  "issue": "1",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            2003,
            10,
            1
          ]
        ],
        "date-time": "2003-10-01T00:00:00Z",
        "timestamp": 1064966400000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "https://www.elsevier.com/tdm/userlicense/1.0/"
    },
    {
      "start": {
        "date-parts": [
          [
            2013,
            7,
            17
          ]
        ],
        "date-time": "2013-07-17T00:00:00Z",
        "timestamp": 1374019200000
      },
      "content-version": "vor",
      "delay-in-days": 3577,
      "URL": "https://www.elsevier.com/open-access/userlicense/1.0/"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        2003,
        10
      ]
    ]
  },
  "DOI": "10.1016/s0047-259x(02)00013-1",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2003,
        7,
        16
      ]
    ],
    "date-time": "2003-07-16T16:18:16Z",
    "timestamp": 1058372296000
  },
  "page": "2-23",
  "source": "Crossref",
  "is-referenced-by-count": 10,
  "title": "Multivariate quadratic forms of random vectors",
  "prefix": "10.1016",
  "volume": "87",
  "author": [
    {
      "given": "Ren\u00e9",
      "family": "Blacher",
      "sequence": "first",
      "affiliation": []
    }
  ],
  "member": "78",
  "reference": [
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB1",
      "unstructured": "R. Blacher, Quelques applications des fonctions orthogonales en probabilit\u00e9 et statistique, Th\u00e8se, de l'Universit\u00e9 Joseph Fourier, Grenoble I, 1990."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB2",
      "unstructured": "R. Blacher, Distributions of the sum and of the quadratic forms of n random vectors, Rapport Technique 176 LMC-IMAG, 1998."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB3",
      "doi-asserted-by": "crossref",
      "first-page": "903",
      "DOI": "10.1214/aoms/1177704013",
      "article-title": "Properties of generalized Raleigh distributions",
      "volume": "34",
      "author": "Blumenson",
      "year": "1963",
      "journal-title": "Ann. Math. Statist."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB4",
      "first-page": "945",
      "article-title": "Test Hilbertiens et test du chi-deux",
      "volume": "286",
      "author": "Bosq",
      "year": "1978",
      "journal-title": "C. R. Acad. Sci. Paris Ser. A"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB5",
      "unstructured": "D. Bosq, Functional test of fit, Proceedings of the International Workshop on Goodness-of-fit Tests and Validity of Models, 2000."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB6",
      "doi-asserted-by": "crossref",
      "first-page": "838",
      "DOI": "10.1214/aoms/1177698878",
      "article-title": "Series repr\u00e9sentations of distributions of quadratic forms in normal variables II, non central case",
      "volume": "38",
      "author": "Boyd",
      "year": "1967",
      "journal-title": "Ann. Math. Statist."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB7",
      "series-title": "An Introduction to Orthogonal Polynomials",
      "author": "Chihara",
      "year": "1978"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB8",
      "doi-asserted-by": "crossref",
      "first-page": "86",
      "DOI": "10.1006/jmva.1997.1710",
      "article-title": "The generalized integer Gamma distribution\u2014a basis for distributions in multivariate statistics",
      "volume": "64",
      "author": "Coelho",
      "year": "1998",
      "journal-title": "J. Multivariate Anal."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB9",
      "series-title": "L'analyse Statistique des s\u00e9ries d\u2019\u00e9venement",
      "author": "Cox",
      "year": "1969"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB10",
      "doi-asserted-by": "crossref",
      "first-page": "151",
      "DOI": "10.1002/cpa.3160410203",
      "article-title": "Frames in the Bargmann spaces of entire functions",
      "volume": "XLI",
      "author": "Daubechies",
      "year": "1988",
      "journal-title": "Comm. Pure Appl. Math."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB11",
      "unstructured": "Z.N. D'jachenko, Distribution surface of \u03b3 type, Trudy VI Vsesoyunznogo Soveshchaniya po teroii verojatnostei, Mathematicheskoi Statistike, Vilnjus, pp. 389\u2013395 (in Russian)."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB12",
      "doi-asserted-by": "crossref",
      "unstructured": "R.A. Gideon, J. Gurland, Series expansions for quadratic forms in normal variables, J. Amer. Statist. Assoc. 71 (1976) 353, 227\u2013232.",
      "DOI": "10.1080/01621459.1976.10481520"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB13",
      "doi-asserted-by": "crossref",
      "first-page": "464",
      "DOI": "10.1214/aoms/1177728491",
      "article-title": "Distribution of quadratic forms and some applications",
      "volume": "26",
      "author": "Grad",
      "year": "1955",
      "journal-title": "Ann. Math. Statist."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB14",
      "first-page": "374",
      "article-title": "The distribution of quadratic forms in normal variates",
      "volume": "7",
      "author": "Grenander",
      "year": "1959",
      "journal-title": "SIAM"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB15",
      "doi-asserted-by": "crossref",
      "first-page": "1401",
      "DOI": "10.1214/aoms/1177697511",
      "article-title": "The canonical correlation coefficients of bivariate gamma distributions",
      "volume": "40",
      "author": "Griffiths",
      "year": "1969",
      "journal-title": "Ann. Math. Statist."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB16",
      "doi-asserted-by": "crossref",
      "first-page": "792",
      "DOI": "10.1214/aoms/1177704004",
      "article-title": "Probability integrals of multivariate normal and multivariate t",
      "volume": "34",
      "author": "Gupta",
      "year": "1963",
      "journal-title": "Ann. Math. Statist."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB17",
      "first-page": "37",
      "article-title": "Quadratic forms in normally distributed random variables",
      "volume": "17",
      "author": "Gurland",
      "year": "1956",
      "journal-title": "Sankhya"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB18",
      "series-title": "Brownian Motion",
      "author": "Hida",
      "year": "1980"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB19",
      "doi-asserted-by": "crossref",
      "first-page": "13",
      "DOI": "10.1111/j.1467-842X.1970.tb00108.x",
      "article-title": "The joint distribution of quadratic form and related distributions",
      "volume": "12",
      "author": "Jensen",
      "year": "1970",
      "journal-title": "Aust. J. Stat."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB20",
      "series-title": "Distributions in Statistics, Continuous Univariate Distributions-2",
      "author": "Johnson",
      "year": "1970"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB21",
      "series-title": "Distributions in Statistics, Continuous Multivariate Distributions",
      "author": "Johnson",
      "year": "1972"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB22",
      "doi-asserted-by": "crossref",
      "first-page": "299",
      "DOI": "10.1016/0378-3758(77)90014-3",
      "article-title": "A note on the joint distribution of correlated quadratic forms",
      "volume": "1",
      "author": "Khatri",
      "year": "1977",
      "journal-title": "J. Statist. Plann. Inference"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB23",
      "doi-asserted-by": "crossref",
      "first-page": "12",
      "DOI": "10.1017/S0305004100022313",
      "article-title": "An extension of a theorem of Mehler on Hermite polynomials",
      "volume": "41",
      "author": "Kibble",
      "year": "1945",
      "journal-title": "Proc. Cambridge Philos. Soc."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB24",
      "doi-asserted-by": "crossref",
      "unstructured": "S. Kotz, N. Johnson, D.W. Boyd, Series representations of distributions of quadratic forms in normal variables, Ann. Math. Statist. 38 (1967) 823\u2013837, 838\u2013848.",
      "DOI": "10.1214/aoms/1177698877"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB25",
      "doi-asserted-by": "crossref",
      "first-page": "549",
      "DOI": "10.1214/aoms/1177729544",
      "article-title": "A multivariate gamma type distribution",
      "volume": "22",
      "author": "Krishnamoorty",
      "year": "1951",
      "journal-title": "Ann. Math. Stat."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB26",
      "doi-asserted-by": "crossref",
      "first-page": "205",
      "DOI": "10.1080/00949658408810732",
      "article-title": "Probability integrals of a bivariate Gamma distribution",
      "volume": "19",
      "author": "Lai",
      "year": "1984",
      "journal-title": "J. Statist. Comput. Simulations"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB27",
      "doi-asserted-by": "crossref",
      "first-page": "135",
      "DOI": "10.1016/0047-259X(91)90010-Y",
      "article-title": "On a multivariate Gamma",
      "volume": "39",
      "author": "Mathai",
      "year": "1991",
      "journal-title": "J. Multivariate Anal."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB28",
      "doi-asserted-by": "crossref",
      "first-page": "490",
      "DOI": "10.1137/0115130",
      "article-title": "Relationships between biased and unbiased Raleygh distributions",
      "volume": "15",
      "author": "Miller",
      "year": "1967",
      "journal-title": "SIAM J. Appl. Math."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB29",
      "first-page": "639",
      "article-title": "Note on the distributions of a definite quadratic form",
      "volume": "23",
      "author": "Pachares",
      "year": "1955",
      "journal-title": "Ann. Math. Statist."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB30",
      "first-page": "215",
      "article-title": "Theoretical explanation of observed decreasing failure rate",
      "volume": "24",
      "author": "Proschan",
      "year": "1963",
      "journal-title": "Technometrics"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB31",
      "series-title": "Linear Statistical Inference and its Applications",
      "author": "Rao",
      "year": "1965"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB32",
      "doi-asserted-by": "crossref",
      "first-page": "266",
      "DOI": "10.1214/aoms/1177730252",
      "article-title": "The distribution of a definite quadratic form",
      "volume": "19",
      "author": "Robbins",
      "year": "1948",
      "journal-title": "Ann. Math. Statist."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB33",
      "doi-asserted-by": "crossref",
      "first-page": "213",
      "DOI": "10.1016/0047-259X(91)90041-Y",
      "article-title": "Expansions for the multivariate chi-square distribution",
      "volume": "38",
      "author": "Royen",
      "year": "1991",
      "journal-title": "J. Multivariate Anal."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB34",
      "first-page": "373",
      "article-title": "On some central and non-central multivariate chi-square distribution",
      "volume": "5",
      "author": "Royen",
      "year": "1995",
      "journal-title": "Statist. Sinica"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB35",
      "doi-asserted-by": "crossref",
      "first-page": "1582",
      "DOI": "10.1214/aoms/1177703890",
      "article-title": "A new result on the distribution of quadratic forms",
      "volume": "34",
      "author": "Ruben",
      "year": "1963",
      "journal-title": "Ann. Math. Statist."
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB36",
      "doi-asserted-by": "crossref",
      "unstructured": "I.O. Sarmanov, An approximate calculation of correlation coefficient between functions of dependent variables, Mathematical Notes, Vol. 7, Academy of Sciences of the USSR, 1970, pp. 373\u2013377.",
      "DOI": "10.1007/BF01123849"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB37",
      "first-page": "444",
      "article-title": "Sequential \u03c72 test",
      "volume": "79",
      "author": "Sarmanov",
      "year": "1969",
      "journal-title": "Mathematicheskii Sbornik"
    },
    {
      "key": "10.1016/S0047-259X(02)00013-1_BIB38",
      "series-title": "Orthogonal Polynomials",
      "author": "Szego",
      "year": "1959"
    },
    {
      "issue": "3 and 4",
      "key": "10.1016/S0047-259X(02)00013-1_BIB39",
      "first-page": "415",
      "article-title": "Laguerre series forms of non central \u03c72 and F distributions",
      "volume": "52",
      "author": "Tiku",
      "year": "1965",
      "journal-title": "Biometrika"
    }
  ],
  "container-title": "Journal of Multivariate Analysis",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://api.elsevier.com/content/article/PII:S0047259X02000131?httpAccept=text/xml",
      "content-type": "text/xml",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://api.elsevier.com/content/article/PII:S0047259X02000131?httpAccept=text/plain",
      "content-type": "text/plain",
      "content-version": "vor",
      "intended-application": "text-mining"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2019,
        3,
        17
      ]
    ],
    "date-time": "2019-03-17T12:59:45Z",
    "timestamp": 1552827585000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://linkinghub.elsevier.com/retrieve/pii/S0047259X02000131"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2003,
        10
      ]
    ]
  },
  "references-count": 39,
  "journal-issue": {
    "issue": "1",
    "published-print": {
      "date-parts": [
        [
          2003,
          10
        ]
      ]
    }
  },
  "alternative-id": [
    "S0047259X02000131"
  ],
  "URL": "http://dx.doi.org/10.1016/S0047-259X(02)00013-1",
  "relation": {},
  "ISSN": [
    "0047-259X"
  ],
  "subject": [],
  "container-title-short": "Journal of Multivariate Analysis",
  "published": {
    "date-parts": [
      [
        2003,
        10
      ]
    ]
  }
}