A. Rechtschaffen and A. Kales, A manual of standardized terminology, techniques, and scoring system for sleep stages of human subjects, U.S. Government Printing Service, 1968.

C. Iber, S. Ancoli-israel, A. Chesson, and S. F. Quan, The AASM Manual for the Scoring of Sleep and Associated Events: Rules, Terminology and Technical Specifications, 2007.

R. Berry, The AASM Manual for the scoring of Sleep and Associated Events: Rules Terminology and Technical Specifications, Version 2.0, 2012.

L. B. Lusted and R. S. Ledley, Mathematical Models in Medical Diagnosis, Journal of Medical Education, vol.35, issue.3, pp.214-222, 1960.

R. S. Ledley and L. B. Lusted, Reasoning Foundations of Medical Diagnosis: Symbolic logic, probability, and value theory aid our understanding of how physicians reason, Science, vol.130, issue.3366, pp.9-21, 1959.
DOI : 10.1126/science.130.3366.9

R. S. Ledley and L. B. Lusted, The Use of Electronic Computers to Aid in Medical Diagnosis, Proc. I.R.E. 47 (Medical Electronic Issue, pp.1970-1977, 1959.
DOI : 10.1109/JRPROC.1959.287213

D. Lezotte and P. A. Scheinok, The role of modeling methods in medical diagnosis, Journal of Medical Systems, vol.20, issue.1, pp.197-209, 1981.
DOI : 10.1287/mnsc.17.8.B421

P. Achermann, D. J. Dijk, D. P. Brunner, and A. A. Borbély, A model of human sleep homeostasis based on EEG slow-wave activity: Quantitative comparison of data and simulations, Brain Research Bulletin, vol.31, issue.1-2, pp.97-113, 1993.
DOI : 10.1016/0361-9230(93)90016-5

J. Haba-rubio, V. Ibanez, and E. Sforza, An alternative measure of sleep fragmentation in clinical practice: the sleep fragmentation index, Sleep Medicine, vol.5, issue.6, pp.577-581, 2004.
DOI : 10.1016/j.sleep.2004.06.007

V. Swarnkar, U. R. Abeyratne, C. Hukins, and B. Duce, A state transition-based method for quantifying EEG sleep fragmentation, Medical & Biological Engineering & Computing, vol.8, issue.4, pp.1053-1061, 2009.
DOI : 10.1164/ajrccm.162.6.9904008

R. Naeck, D. D-'amore, M. Mateo, A. Elias, and J. ,

E. Grimaldi, J. Moreau, and . Ginoux, Sleep Diversity Index for sleep fragmentation analysis, Journal of Nonlinear Systems and Applications

B. J. Swihart, N. M. Punjabi, and C. M. Crainiceanu, Modeling sleep fragmentation in sleep hypnograms: An instance of fast, scalable discrete-state, discrete-time analyses, Computational Statistics & Data Analysis, vol.89, pp.1-11, 2015.
DOI : 10.1016/j.csda.2015.03.001

N. Schaltenbrand, R. Lengelle, M. Toussain, R. Luthringer, and G. Carelli,

A. Lainey, J. Muzet, and . Macher, Sleep stage scoring using the neural network model: comparison between visual and automatic analysis in normal subjects and patients, Sleep, vol.19, issue.1, pp.26-35, 1996.

J. P. Egan, Signal Detection Theory and ROC Analysis, Series in Cognition and Perception, 1975.

J. A. Hanley and B. J. Mcneil, The meaning and use of the area under a receiver operating characteristic (ROC) curve., Radiology, vol.143, issue.1, pp.29-36, 1982.
DOI : 10.1148/radiology.143.1.7063747

H. Hotelling, Analysis of a complex of statistical variables into principal components., Journal of Educational Psychology, vol.24, issue.6, pp.417-441, 1933.
DOI : 10.1037/h0071325

I. T. Jolliffe, Principal Component Analysis, 2002.

C. Guilleminault, M. Partinen, M. Quera-salva, B. Hayes, W. C. Dement et al., Determinants of Daytime Sleepiness in Obstructive Sleep Apnea, Chest, vol.94, issue.1, pp.32-37, 1988.
DOI : 10.1378/chest.94.1.32

M. Bonnet, EEG arousals: scoring rules and examples: a preliminary report from the Sleep Disorders Atlas Task Force of the American Sleep Disorders Association, Sleep, vol.15, issue.2, pp.173-184, 1992.

R. G. Norman, M. A. Scott, I. Ayappa, J. A. Walsleben, and D. M. Rapoport, Sleep Continuity Measured By Survival Curve Analysis, Sleep, vol.29, issue.12, pp.1625-1631, 2006.
DOI : 10.1093/sleep/29.12.1625
URL : https://academic.oup.com/sleep/article-pdf/29/12/1625/13663160/sleep-29-12-1625.pdf

E. J. Stepanski, The Effect of Sleep Fragmentation on Daytime Function, Sleep, vol.25, issue.3, pp.268-276, 2002.
DOI : 10.1093/sleep/25.3.268
URL : https://academic.oup.com/sleep/article-pdf/25/3/268/13661981/sleep-25-3-268.pdf

N. Foldvary-schaefer, I. De-leon-sanchez, M. Karafa, D. Dinner, and H. H. Morris, Gabapentin Increases Slow-wave Sleep in Normal???Adults, Epilepsia, vol.42, issue.suppl 1, pp.1493-497, 2002.
DOI : 10.1046/j.1528-1157.2001.46100.x
URL : http://onlinelibrary.wiley.com/doi/10.1046/j.1528-1157.2002.21002.x/pdf

J. Cohen, A Coefficient of Agreement for Nominal Scales, Educational and Psychological Measurement, vol.20, issue.1, pp.37-46, 1960.
DOI : 10.1037/h0044251

J. R. Landis and G. G. Koch, The Measurement of Observer Agreement for Categorical Data, Biometrics, vol.33, issue.1, pp.159-174, 1977.
DOI : 10.2307/2529310

V. Bewick, L. Cheek, and J. Ball, Statistics Review 13: Receiver Operating Characteristics Curves, Critical Care, vol.8, issue.6, pp.508-512, 2004.
DOI : 10.1186/cc3000

T. Fawcett, ROC graphs: Notes and practical considerations for researchers, pp.1-38, 2003.

D. G. Altman and J. M. Bland, Diagnostic tests 1: sensitivity and specificity, BMJ, vol.11, 1994.

, Jun), vol.308, issue.6943, p.1552

T. J. Fagan, Nomogram for Bayes's theorem, New England Journal of Medicine, vol.293, issue.257, 1975.

D. G. Altman and J. M. Bland, Diagnostic tests 2: predictive values, BMJ, vol.9, issue.102, 1994.

J. J. Deeks and D. G. Altman, Diagnostic tests 4: likelihood ratios, BMJ, vol.329, issue.7458, pp.168-169, 2004.
DOI : 10.1136/bmj.329.7458.168

K. Pearson, Studies in the history of Statistics and probability, Biometrika, pp.13-25, 1920.

N. A. Collop, Scoring variability between polysomnography technologists in different sleep laboratories, Sleep Medicine, vol.3, issue.1, pp.43-47, 2002.
DOI : 10.1016/S1389-9457(01)00115-0