Departures from the formal of actual students' university careers: an application of non-homogeneous fuzzy Markov chains

References

• D. Bartholomew, Stochastic Models for Social Processes, Wiley, Chichester, 1982.
   Google Scholar
• E.W. Bessent and A.M. Bessent, Student flow in a university department: Results of a Markov analysis, Interfaces 10 (2) (1980), pp. 52–59. doi: 10.1287/inte.10.2.52
   Web of Science ®Google Scholar
• Y. Choi, Dynamic Bayesian inference networks and hidden Markov models for modeling learning progressions over multiple time points, preprint (2001). Available at http://hdl.handle.net/1903/12739.
   Google Scholar
• H. Correa, Quantitative methods of educational planning, preprint (1969). Available at http://unesdoc.unesco.org/images/0007/000777/077791eo.pdfhttp://unesdoc.unesco.org/images/0007/000777/077791eo.pdf.
   Google Scholar
• F. Crippa, M. Mazzoleni, and M. Zenga, Never Leave a Job Undone. Fuzzy Markov Chains for Italian University Students Retention, Proceedings of the SIS 2013 Statistical Conference – Advances in Latent Variables – Methods, Models and Applications, 2013. Available at http://meetings.sis-statistica.org/index.php/sis2013/ALV/paper/view/2628/435http://meetings.sis-statistica.org/index.php/sis2013/ALV/paper/view/2628/435.
   Google Scholar
• J. Gani, Formulae for projecting enrolments and degrees awarded in universities, J. R. Stat. Soc. Ser. A 126 (1963), pp. 400–409. doi: 10.2307/2982224
   Web of Science ®Google Scholar
• G. Ghellini, F. Maccari, and R. Cordone, Un approccio Markoviano per l'analisi lungitudinale dei percorsi universitari, Working Paper n.7, Università di Siena, Dipartimento di metodi quantitativi, 2009.
   Google Scholar
• J.N. Johnstone and H. Philp, The application of a Markov chain in educational planning, Socio-Econ. Plan. Sci. 7(3) (1973), pp. 283–294. doi: 10.1016/0038-0121(73)90020-7
   Web of Science ®Google Scholar
• A. Kelly, The relative standards of subject examinations, Res. Intell. 2 (1975), pp. 34–38. doi: 10.1080/0141192750010213
   Google Scholar
• N.-K. Kwak, R. Brown, and A. Schniederjans, Markov analysis of estimating student enrolment transition in a trimester institution, Socio-Econ. Plan. Sci. 20(5) (1986), pp. 11–318. doi: 10.1016/0038-0121(86)90040-6
   Web of Science ®Google Scholar
• J. Lgar, Methods for measuring school performance through cohort analysis, Demography 4 (1972), pp. 617–624. doi: 10.2307/2060669
   Web of Science ®Google Scholar
• S. Massa and S.S. Puliafito, An application of data mining to the problem of the university students' dropout using Markov Chains, in J. M. Zytkow, J. Rauch, Principles of data mining and knowledge discovery lecture notes in Computer Science, J. M. Zytkow, eds., Vol. 1704, Springer-Verlag, Berlin, Heidelberg, New York, 1989, pp. 51–60.
   Google Scholar
• M. Mazzoleni, Le catene di Markov con stati fuzzy: un' applicazione al caso delle carriere universitarie, Final diss., Master Degree in Economics, University of Milano-Bicocca, Milan, 2011.
   Google Scholar
• F. Mecatti, F. Crippa, and P. Farina, A special gen(d)re of statistics: Roots, development and methodological prospects of gender statistics, Int. Stat. Rev. 80(3) (2012), pp. 452–467. doi: 10.1111/j.1751-5823.2012.00186.x
   Web of Science ®Google Scholar
• M. Sah and Y. Degtiarev, Forecasting Enrollment Model Based on First Order Fuzzy Time Series, Proceedings of World Academy of Science, Engineering and Technology, Vol. 1, 2005, pp. 375–378.
   Google Scholar
• C. Shah and G. Burke, An undergraduate student flow model: Australian higher education, Higher Educ. 37(4) (1999), pp. 359–375. doi: 10.1023/A:1003765222250
   Google Scholar
• Q. Song and B. Chissom, Forecasting enrollments with fuzzy time series part I, Fuzzy Sets Syst. 54 (1993), pp. 1–9. doi: 10.1016/0165-0114(93)90355-L
   Web of Science ®Google Scholar
• Q. Song and B. Chissom, Forecasting enrollments with fuzzy time series part II, Fuzzy Sets Syst. 62 (1994), pp. 1–8. doi: 10.1016/0165-0114(94)90067-1
   Web of Science ®Google Scholar
• M. Symeonaki and A. Kalamatianou, Markov System with Fuzzy States for Describing Students' Educational Progress in Greek Universities, World Statistics Congress (ISI), Dublin, 2011.
   Google Scholar
• M.A. Symeonaki and G.B. Stamou, Theory of Markov systems with fuzzy states, Fuzzy Sets Syst. 143(3) (2004), pp. 427–445. doi: 10.1016/S0165-0114(03)00016-2
   Web of Science ®Google Scholar
• U. Trivellato, Un modello markoviano del processo scolastico: specificazione e procedimento di stima, Rivista di Statistica Applicata 13(1) (1980), pp. 3–20.
   Google Scholar
• U. Trivellato and L. Bernardi, Un modello markoviano del processo scolastico: suo impiego per l' analisi della selettività del sistema preuniversitario italiano, Rivista di Statistica Applicata 13(2) (1980), pp. 55–90.
   Google Scholar
• H.J. Zimmermann, Fuzzy Set Theory and Its Applications, 4th ed., Kluwer, Boston, MA, 2001.
   Google Scholar