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2015 | 3 | 1 |
Tytuł artykułu

A theory for non-linear prediction approach in the presence of vague variables: with application to BMI monitoring

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the statistical literature, truncated distributions can be used for modeling real data. Due to error of measurement in truncated continuous data, choosing a crisp trimmed point caucuses a fault inference, so using fuzzy sets to define a threshold pointmay leads us more efficient results with respect to crisp thresholds. Arellano-Valle et al. [2] defined a selection distribution for analysis of truncated data with crisp threshold. In this paper, we define fuzzy multivariate selection distribution that is an extension of the selection distributions using fuzzy threshold. A practical data set with a fuzzy threshold point is considered to investigate the relationship between high blood pressure and BMI.
Wydawca
Czasopismo
Rocznik
Tom
3
Numer
1
Opis fizyczny
Daty
otrzymano
2015-06-22
zaakceptowano
2015-11-04
online
2015-11-30
Twórcy
autor
  • Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of
    Kerman, Kerman, Iran
autor
  • Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of
    Kerman, Kerman, Iran
autor
  • Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of
    Kerman, Kerman, Iran
Bibliografia
  • [1] Ajani, U., Dunbar, S., Ford, E., Mokdad, A., and Mensah, G. (2005). Sodiumintake among people with normal and high bloodpressure. Am. J. Prev. Med. 29 (5 suppl. 1), 63–67.[Crossref]
  • [2] Arellano-Valle, R. B., Branco, M. D., and Genton, M. G. (2006). A unified view on skewed distributions arising from selections.Canad. J. Stat. 34, 581–601.[Crossref]
  • [3] Arellano-Valle, R. B. and Azzalini, A. (2006). On the unification of families of skew-normal distributions. Scand. J. Stat. 33,561–574.[Crossref]
  • [4] Arellano-Valle, R. B. and Genton, M. G. (2005). On fundamental skew distribution. J. Multivar. Anal. 96, 93–116.[Crossref]
  • [5] Arellano-Valle, R. B. and Genton, M. G. (2010). Multivariate unified skew-elliptical distributions. Chilean J. Stat. 1, 17–33.
  • [6] Azzalini, A. (1985). A class of distributions which includes the normal ones. Scand. J. Stat. 12, 171–178.
  • [7] Azzalini, A. (2005). The skew-normal distribution and related multivariate families. Scand. J. Stat. 32, 159–188.[Crossref]
  • [8] Azzalini, A. and Dalla Valle, A. (1996). The multivariate skew-normal distribution, Biometrika 83, 715–726.[Crossref]
  • [9] Billingsley, P. (1995). Probability and Measure. John Wiley & Sons, New York.
  • [10] Dubois, D. and Prade, H. (1980) Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York.
  • [11] Flores-Huerta, S., Klünder-Klünder, M., Reyes de la Cruz, L. and Santos J.I. (2009). Increase in body mass index and waistcircumference is associated with high blood pressure in children and adolescents in Mexico City. Arch. Med. Res. 40(3),208–215.[WoS][Crossref]
  • [12] Genton, M.G. (2004). Skew-Elliptical Distributions and Their Applications: A Journey Beyond Normality. Chapman &Hall/CRC, Boca Raton, FL.
  • [13] Kaufman, J, Asuzu, M, Mufunda, J., Forrester, T., Wilks, R., Luke, A., Long, A, and Cooper, R. (1997). Relationship betweenblood pressure and body mass index in lean populations. Hypertension 30, 1511–1516.[Crossref]
  • [14] Lupton, S., Chiu, C., Lujic, S., Hennessy, A., and Lind J. (2013). Association between parity and breastfeeding with maternalhigh blood pressure. Am. J. Obstet. Gynecol. 208(6), 454.e1–e7.[Crossref]
  • [15] Pourmousa, R., Mashinchi, M. (2012). An interpretation of skew-elliptical distributions in terms of fuzzy events. ScientiaIranica E 19(6), 1870–1875.[WoS][Crossref]
  • [16] Jerez, S., and Coviello, A. (1998). Alcohol Drinking and blood pressure among adolescents. Alcohol 16(1), 1–5.[Crossref]
  • [17] Ueshima, H., Ozawa, H., Baba, H., Nakamoto, Y., Omae, T., Shimamotos, T., and Komachi, Y. (1992). Alcohol drinking andhigh blood pressure: data from a 1980 national cardiovascular survey of Japan. J. Clin. Epidemiol. 45(6), 667–673.[Crossref]
  • [18] Zadeh, L.A. (1965). Fuzzy sets. Information Control 8, 338–353.
  • [19] Zadeh, L.A. (1968). Probability measures of fuzzy events, J. Math. Anal. Appl. 23, 421–427.[Crossref]
  • [20] Ziaei, S., Janghorban, R., Shariatdoust, S, and Faghihzadeh S. (2008). The effects of iron supplementation on serumcopperand zinc levels in pregnant women with high-normal hemoglobin, Int. J. Gynaecol. Obstet. 100(2), 133–135.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_demo-2015-0016
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