{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T14:32:28Z","timestamp":1774621948314,"version":"3.50.1"},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,3,6]],"date-time":"2018-03-06T00:00:00Z","timestamp":1520294400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int J Data Sci Anal"],"published-print":{"date-parts":[[2019,2]]},"DOI":"10.1007\/s41060-018-0106-1","type":"journal-article","created":{"date-parts":[[2018,3,6]],"date-time":"2018-03-06T05:41:36Z","timestamp":1520314896000},"page":"1-16","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["An alternative data analytic approach to measure the univariate and multivariate skewness"],"prefix":"10.1007","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9305-2365","authenticated-orcid":false,"given":"Ravindra","family":"Khattree","sequence":"first","affiliation":[]},{"given":"Manoj","family":"Bahuguna","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,3,6]]},"reference":[{"issue":"1","key":"106_CR1","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1016\/0047-259X(91)90031-V","volume":"38","author":"L Baringhaus","year":"1991","unstructured":"Baringhaus, L., Henze, N.: Limit distributions for measures of multivariate skewness and kurtosis based on projections. J. Multivar. Anal. 38(1), 51\u201369 (1991)","journal-title":"J. Multivar. Anal."},{"key":"106_CR2","volume-title":"Skewness: Concepts and Measures Encyclopedia of Statistical Sciences","author":"Y Benjamini","year":"2006","unstructured":"Benjamini, Y., Krieger, A.M.: Skewness: Concepts and Measures Encyclopedia of Statistical Sciences. Wiley Online Library, Hoboken (2006)"},{"key":"106_CR3","volume-title":"Elements of Statistics","author":"AL Bowley","year":"1920","unstructured":"Bowley, A.L.: Elements of Statistics, vol. 2. P. S. King, Westminster (1920)"},{"issue":"2","key":"106_CR4","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1111\/1475-6803.t01-1-00008","volume":"25","author":"CA Brown","year":"2002","unstructured":"Brown, C.A., Robinson, D.M.: Skewness and kurtosis implied by option prices: a correction. J. Financ. Res. 25(2), 279\u2013282 (2002)","journal-title":"J. Financ. Res."},{"key":"106_CR5","volume-title":"Regression Analysis by Example","author":"S Chatterjee","year":"2000","unstructured":"Chatterjee, S., Hadi, A.S., Price, B.: Regression Analysis by Example. Wiley, Hoboken (2000)"},{"key":"106_CR6","unstructured":"Chvosta, J., Erdman, D.J., Little, M.: Modeling financial risk factor correlation with the copula procedure. In: SAS Global Forum, pp. 340\u20132011 (2011)"},{"issue":"2","key":"106_CR7","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1111\/j.1475-6803.1996.tb00592.x","volume":"XIX","author":"CJ Corrado","year":"1996","unstructured":"Corrado, C.J., Su, T.: Skewness and kurtosis in S&P 500 index returns implied by option prices. J. Financ. Res. XIX(2), 175\u2013192 (1996)","journal-title":"J. Financ. Res."},{"key":"106_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-1217-5","volume-title":"Multivariate Statistics: A Practical Approach","author":"B Flurry","year":"1988","unstructured":"Flurry, B., Riedwyl, H.: Multivariate Statistics: A Practical Approach. Chapman and Hall, London (1988)"},{"key":"106_CR9","volume-title":"Skewness, Bowley\u2019s Measures of Encyclopedia of Statistical Sciences","author":"RA Groeneveld","year":"2006","unstructured":"Groeneveld, R.A.: Skewness, Bowley\u2019s Measures of Encyclopedia of Statistical Sciences. Wiley Online Library, Hoboken (2006)"},{"key":"106_CR10","doi-asserted-by":"publisher","first-page":"391","DOI":"10.2307\/2987742","volume":"33","author":"RA Groeneveld","year":"1984","unstructured":"Groeneveld, R.A., Meeden, G.: Measuring skewness and kurtosis. Statistician 33, 391\u2013399 (1984)","journal-title":"Statistician"},{"issue":"3","key":"106_CR11","doi-asserted-by":"publisher","first-page":"1263","DOI":"10.1111\/0022-1082.00247","volume":"55","author":"CR Harvey","year":"2000","unstructured":"Harvey, C.R., Siddique, A.: Conditional skewness in asset pricing tests. J. Finance 55(3), 1263\u20131295 (2000a)","journal-title":"J. Finance"},{"issue":"1","key":"106_CR12","first-page":"27","volume":"1","author":"CR Harvey","year":"2000","unstructured":"Harvey, C.R., Siddique, A.: Time-varying conditional skewness and the market risk premium. Res. Bank. Finance 1(1), 27\u201360 (2000b)","journal-title":"Res. Bank. Finance"},{"issue":"1","key":"106_CR13","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1093\/biomet\/62.1.101","volume":"62","author":"DV Hinkley","year":"1975","unstructured":"Hinkley, D.V.: On power transformations to symmetry. Biometrika 62(1), 101\u2013111 (1975)","journal-title":"Biometrika"},{"issue":"1","key":"106_CR14","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1111\/1467-9884.00122","volume":"47","author":"DN Joanes","year":"1998","unstructured":"Joanes, D.N., Gill, C.A.: Comparing measures of sample skewness and kurtosis. J. R. Stat. Soc. Ser. D (Statistician) 47(1), 183\u2013189 (1998)","journal-title":"J. R. Stat. Soc. Ser. D (Statistician)"},{"key":"106_CR15","volume-title":"Multivariate Data Reduction and Discrimination with SAS Software","author":"R Khattree","year":"2000","unstructured":"Khattree, R., Naik, D.N.: Multivariate Data Reduction and Discrimination with SAS Software. SAS Institute Inc, Cary (2000)"},{"issue":"1","key":"106_CR16","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1016\/S1544-6123(03)00003-5","volume":"1","author":"TH Kim","year":"2004","unstructured":"Kim, T.H., White, H.: On more robust estimation of skewness and kurtosis. Finance Res. Lett. 1(1), 56\u201373 (2004)","journal-title":"Finance Res. Lett."},{"key":"106_CR17","volume-title":"Geometric Data Analysis: An Empirical Approach to Dimensionality Reduction and the Study of Patterns","author":"M Kirby","year":"2001","unstructured":"Kirby, M.: Geometric Data Analysis: An Empirical Approach to Dimensionality Reduction and the Study of Patterns. Wiley, Hoboken (2001)"},{"issue":"4","key":"106_CR18","first-page":"1085","volume":"31","author":"A Kraus","year":"1976","unstructured":"Kraus, A., Litzenberger, R.H.: Skewness preference and the valuation of risk assets. J. Finance 31(4), 1085\u20131100 (1976)","journal-title":"J. Finance"},{"key":"106_CR19","doi-asserted-by":"publisher","first-page":"994","DOI":"10.1214\/aos\/1176350046","volume":"14","author":"HL MacGillivray","year":"1986","unstructured":"MacGillivray, H.L.: Skewness and asymmetry: measures of ordering. Ann. Stat. 14, 994\u20131011 (1986)","journal-title":"Ann. Stat."},{"key":"106_CR20","doi-asserted-by":"publisher","first-page":"176","DOI":"10.1080\/01621459.1973.10481358","volume":"68","author":"JF Malkovich","year":"1973","unstructured":"Malkovich, J.F., Afifi, A.A.: On tests for multivariate normality. J. Am. Stat. Assoc. 68, 176\u2013179 (1973)","journal-title":"J. Am. Stat. Assoc."},{"key":"106_CR21","doi-asserted-by":"publisher","first-page":"519","DOI":"10.1093\/biomet\/57.3.519","volume":"57","author":"KV Mardia","year":"1970","unstructured":"Mardia, K.V.: Measures of multivariate skewness and kurtosis with applications. Biometrika 57, 519\u2013530 (1970)","journal-title":"Biometrika"},{"issue":"2","key":"106_CR22","first-page":"115","volume":"36","author":"KV Mardia","year":"1974","unstructured":"Mardia, K.V.: Applications of some measures of multivariate skewness and kurtosis in testing normality and robustness studies. Sankhy\u0101 Indian J. Stat. Ser. B 36(2), 115\u2013128 (1974)","journal-title":"Sankhy\u0101 Indian J. Stat. Ser. B"},{"issue":"2","key":"106_CR23","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1080\/03610928308828452","volume":"12","author":"KV Mardia","year":"1983","unstructured":"Mardia, K.V., Foster, K.: Omnibus tests of multinormality based on skewness and kurtosis. Commun. Stat. Theory Methods 12(2), 207\u2013221 (1983)","journal-title":"Commun. Stat. Theory Methods"},{"issue":"2","key":"106_CR24","first-page":"262","volume":"24","author":"KV Mardia","year":"1975","unstructured":"Mardia, K.V., Zemroch, P.J.: Algorithm AS 84: measures of multivariate skewness and kurtosis. J. R. Stat. Soc. Ser. C (Appl. Stat.) 24(2), 262\u2013265 (1975)","journal-title":"J. R. Stat. Soc. Ser. C (Appl. Stat.)"},{"issue":"3","key":"106_CR25","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1137\/1138055","volume":"38","author":"T M\u00f3ri","year":"1994","unstructured":"M\u00f3ri, T., Rohatgi, V.K., Sz\u00e9kely, G.J.: On multivariate skewness and kurtosis. Theory Probab. Appl. 38(3), 547\u2013551 (1994)","journal-title":"Theory Probab. Appl."},{"key":"106_CR26","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1080\/00031305.1996.10474361","volume":"50","author":"DN Naik","year":"1996","unstructured":"Naik, D.N., Khattree, R.: Revisiting Olympic track records: some practical considerations in the principal component analysis. Am. Stat. 50, 140\u2013144 (1996)","journal-title":"Am. Stat."},{"issue":"3","key":"106_CR27","first-page":"154","volume":"8","author":"H Oja","year":"1981","unstructured":"Oja, H.: On location, scale, skewness and kurtosis of univariate distributions. Scand. J. Stat. 8(3), 154\u2013168 (1981)","journal-title":"Scand. J. Stat."},{"key":"106_CR28","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1016\/0167-7152(83)90054-8","volume":"6","author":"H Oja","year":"1983","unstructured":"Oja, H.: Descriptive statistics for multivariate distributions. Stat. Probab. Lett. 6, 327\u2013332 (1983)","journal-title":"Stat. Probab. Lett."},{"key":"106_CR29","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1098\/rsta.1894.0003","volume":"185","author":"K Pearson","year":"1894","unstructured":"Pearson, K.: Contributions to the mathematical theory of evolution. Philos. Trans. R. Soc. Lond. A 185, 71\u2013110 (1894)","journal-title":"Philos. Trans. R. Soc. Lond. A"},{"key":"106_CR30","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1098\/rsta.1895.0010","volume":"86","author":"K Pearson","year":"1895","unstructured":"Pearson, K.: Contributions to the mathematical theory of evolution II: skew variation in homogeneous material. Philos. Trans. R. Soc. Lond. A 86, 343\u2013414 (1895)","journal-title":"Philos. Trans. R. Soc. Lond. A"},{"key":"106_CR31","volume-title":"Multivariate Symmetry and Asymmetry Encyclopedia of Statistical Sciences","author":"RJ Serfling","year":"2006","unstructured":"Serfling, R.J.: Multivariate Symmetry and Asymmetry Encyclopedia of Statistical Sciences. Wiley Online Library, Hoboken (2006)"},{"key":"106_CR32","volume-title":"Modern Multivariate Statistical Analysis: A Graduate Course and Handbook","author":"M Siotani","year":"1985","unstructured":"Siotani, M., Hayakawa, T., Fujikoshi, Y.: Modern Multivariate Statistical Analysis: A Graduate Course and Handbook. American Sciences Press, Columbus (1985)"},{"key":"106_CR33","unstructured":"TC2000 Software-Version 7, Available at tc2000.com (2010)"},{"key":"106_CR34","volume-title":"Convex Transformations of Random Variables, Mathematical Centre Tract","author":"WR Zwet van","year":"1964","unstructured":"van Zwet, W.R.: Convex Transformations of Random Variables, Mathematical Centre Tract, vol. 7. Mathematisch Centrum, Amsterdam (1964)"},{"key":"106_CR35","volume-title":"Skewness International Encyclopedia of Statistical Science","author":"P Hippel Von","year":"2011","unstructured":"Von Hippel, P.: Skewness International Encyclopedia of Statistical Science. Springer, New York (2011)"},{"key":"106_CR36","volume-title":"An Introduction to the Theory of Statistics","author":"GU Yule","year":"1919","unstructured":"Yule, G.U.: An Introduction to the Theory of Statistics. C. Griffin Limited, London (1919)"}],"container-title":["International Journal of Data Science and Analytics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s41060-018-0106-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s41060-018-0106-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s41060-018-0106-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,1]],"date-time":"2024-07-01T19:27:11Z","timestamp":1719862031000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s41060-018-0106-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,6]]},"references-count":36,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,2]]}},"alternative-id":["106"],"URL":"https:\/\/doi.org\/10.1007\/s41060-018-0106-1","relation":{},"ISSN":["2364-415X","2364-4168"],"issn-type":[{"value":"2364-415X","type":"print"},{"value":"2364-4168","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3,6]]},"assertion":[{"value":"19 May 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 February 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 March 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}