STOCHASTIC MODELING OF FETAL HEART RATE VARIABILITY WITH APPLICATIONS TO CLINICAL RISK-ASSESSMENT AND DETECTION OF FETAL RESPIRATORY MOVEMENTS-PRELIMINARY RESULTS

References

• Athans , M. , Whiting , R. H. , Gruber , M. 1977 . “ A Suboptimal Estimation Algorithm with Probabilistic Editing for False Measurements with Applications to the Target Tracking with Wake Phenomena ,” IEEE Trans. Auto. Contr. , Vol. AC- 22 , No. 3 , 372 – 384 .
   Web of Science ®Google Scholar
• Akaike , H. 1974 . “ Stochastic Theory of Minimal Realization ,” IEEE Trans, on Auto. Contr. , Vol. AC- 19 , No. 6 , December, 667 – 674 .
   Web of Science ®Google Scholar
• Bard , Y. 1974 . Nonlinear Parameter Estimation , Academic Press .
   Google Scholar
• Box , G. E. P. , Jenkins , G. M. 1976 . Time Series Analysis, Forecasting and Control , Revised Edition , Holden-Day .
   Google Scholar
• Box , G. E. P. , Pierce , D. A. 1970 . “ Distribution of Residual Autocorrelation in Autoregressive-Integrated Moving Average Time Series Models ,” J. Amer. Stat. Assoc , 64 , 1509 .
   Google Scholar
• Caritis , S. N. 1978 . Unpublished Observations about Changes of Sheep Fetal Heart Rate and ECG During Respiratory Movements , at Magee Womens Hospital , Pittsburgh , USA .
   Google Scholar
• Chess , G. F. , Tarn , R. M. K. , Calaresu , F. R. 1975 . “ Influence of Cardiac Neural Inputs on the Rhythmic Variations of Heart Period in Cat ,” Am. J. Physiol. , Vol. 228 , 3 775 .
   PubMed Web of Science ®Google Scholar
• Cibilis , L. A. 1976 . “ Clinical Significance of Fetal Heart Rate Patterns During Labor, I. Baseline Patterns ,” Am. J. Obstet. Gynecol. , Vol. 125 , pp. 290 – 305 .
   PubMedGoogle Scholar
• Dalton , K. J. , Dawes , G. S. , Patrick , J. 1976 . “ Foetal Heart Rate Variation in Sheep ,” J. Physiol. , 256 , 37 – 38 .
   Google Scholar
• Detwiler , J. S. , Jarisch , W. , and Caritis , S. N. 1980 . “ Statistical Fluctuations in Heart Rate Variability Indices ,” Amer. J. Obstet. Gynecol. , Vol. 136 , No. 2 , pp. 243 – 247 .
   PubMed Web of Science ®Google Scholar
• Draper , N. R. , Smith , H. 1966 . Applied Regression Analysis , John Wiley & Sons, Inc.
   Google Scholar
• Duenholter , J. H. , Pritchard , J. A. 1976 . “ Fetal Respiration ,” Am. J. Obstet. Gynecol. , Vol. 125 , pp. 306 – 309 .
   PubMedGoogle Scholar
• Friedman , J. H. 1977 . “ A Variable Metric Decision Rule for Nonpara-metric Classification ,” IEEE Trans. Computers , C- 26 , pp. 404 – 408 .
   Web of Science ®Google Scholar
• Gordon , L. ( and Olshen , R. A. 1978 . “ Asymptotically Efficient Solutions to the Classification Problem ,” The Annals of Statistics , Vol. 6 , No. 3 , pp. 515 – 533 .
   Web of Science ®Google Scholar
• Gupta , N. K. , Mehra , R. K. 1974 . “ Computational Aspects of Maximum Likelihood Estimation and Reduction in Sensitivity Function Calculations ,” IEEE Trans, on Auto. Contr. , Vol. AC- 19 , No. 6 , pp. 774 – 783 , December 1974 .
   Web of Science ®Google Scholar
• Guyton , A. C. 1971 . Textbook of Medical Physiology , Fourth Edition , W. B. Saunders Co. , Philadelphia .
   Google Scholar
• Hald , A. 1952 . Statistical Theory with Engineering Applications , John Wiley .
   Google Scholar
• Hon , E. H. 1968 . An Atlas of Fetal Heart Rate Patterns , Harty Press Inc. , New Haven .
   Google Scholar
• Hon , E. H. , and Lee , S. T. 1973 . “ Electronic Evaluation of the Fetal Heart Rate. VIII. Patterns Preceding Fetal Death Further Observations ,” Amer. J. Obstet. Gynecol. , 87 , pp. 814 – 826 .
   Google Scholar
• Hon , E. H. and Petrie , R. H. 1975 . “ Clinical Value of Fetal Heart Rate Monitoring ,” Clin. Obstet. Gynecol. , Vol. 18 , pp. 1 – 23 .
   PubMedGoogle Scholar
• Iriuchijima , J. , Kumada , M. 1963 . “ Efferent Cardiac Vagal Discharge of the Dog in Response to Electrical Stimulation of Sensory Nerves ,” Jap. J. Physiol. , Vol. 13 , pp. 599 – 605 .
   PubMedGoogle Scholar
• Jarisch , W. 1979 . “ A Multivariate and Non-linear Time Series Analysis of Fetal Heart Rate ,” Ph.D. Thesis in Biomedical Engineering , Carnegie-Mellon University , Pittsburgh , Pennsylvania .
   Google Scholar
• Jarisch , W. and Detwiler , J. S. 1980 . “ Stochastic Modeling of Fetal Heart Rate Variability Procedures and Applications ,” 8th Annual Northeast Bioengineering Conf. , March 27-28 , MIT , Cambridge , MA , pp. 195 – 199 .
   Google Scholar
• Jarisch , W. and Detwiler , J. S. 1980 . “ Statistical Modeling of Fetal Heart Rate Variability ,” IEEE Trans. Biomed. Eng. Vol. BME- 27 , No. 10 .
   PubMed Web of Science ®Google Scholar
• Jazwinski , A. H. 1970 . Stochastic Processes and Filtering Theory , Academic Press .
   Google Scholar
• Kaiman , R. E. 1960 . “ A New Approach to Linear Filtering and Prediction Problems ,” Trans. ASME, Series D, J. Basic Eng. , 82 , 35 – 45 .
   Google Scholar
• Laros , R. K. , Wong , W. S. , Heilbron , D. C , et al. 1977 . “ A Comparison of Methods for Quantitating Fetal Heart Rate Variability ,” Am. J. Obstet. Gynecol. , Vol. 128 , pp. 381 – 392 .
   PubMed Web of Science ®Google Scholar
• Masreliez , C. J. , Martin , R. D. 1977 . “ Robust Bayesian Estimation for the Linear Model and Robustifying the Kaiman Filter ,” IEEE Trans. on Auto. Contr. , Vol. AC- 22 , No. 3 , 361 – 371 .
   Web of Science ®Google Scholar
• McLeod , A. I. 1979 . “ Distribution of the Residual Cross-Correlation in Univariate ARMA Time Series Models ,” JASA , Vol. 74 , No. 368 , p. 849 .
   Web of Science ®Google Scholar
• Mehra , R. K. 1972 . “ Approaches to Adaptive Filtering ,” IEEE Trans. Auto. Contr. , Vol. AC- 17 ,pp. 693 – 698 , Oct. 1972 .
   Web of Science ®Google Scholar
• Paul , R. H. , Suidan , A. K. , Yeh , S-Y. , Schifrin , B. S. , Hon , E. H. 1975 . “ Clinical Fetal Monitoring. VII. The Evaluation and Significance of Intrapartum Baseline FHR Variability ,” Am. J. Obstet. Gynecol. , Vol. 123 , No. 2 .
   PubMed Web of Science ®Google Scholar
• Powell , M. J. D. 1964 . “ An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives ,” The Comp. J. , Vol. 7 , 155 – 162 .
   Web of Science ®Google Scholar
• Prescott , P. 1978 . “ Selection of Trimming Proportions for Robust Adaptive Trimmed Means ,” JASA , Vol. 73 , No. 361 , p. 133 .
   Web of Science ®Google Scholar
• Rubin , D. B. 1976 . “ Inference and Missing Data ,” Biometrica , 63 , 3 , 581 – 592 .
   Web of Science ®Google Scholar
• Sage , A. P. , Melsa , J. L. 1971 . Estimation Theory with Application to Communications and Control , McGraw-Hill Book Company .
   Google Scholar
• Sage , A. P. , Melsa , J. L. 1971 . System Identification , Academic Press .
   Google Scholar
• Sato , S. and Uranishi , M. 1978 . “ On A Biological System with Random Parameters ,” in Progress in Cybernetics and Systems Research , Vol. III , Edited by R. Trappl, G. J. Klir, and L. Ricciardi . Washington , D.C. , Hemisphere .
   Google Scholar
• Schwarz , G. 1978 . “ Estimating the Dimension of a Model ,” The Annals of Statistics , Vol. 6 , No. 2 , 461 – 464 .
   Web of Science ®Google Scholar
• Segen , J. , Sanderson , A. C. 1979 . “ Detecting Change in a Time-Series ,” IEEE Trans. Info. Theory , Vol. IT 26 , No. 2 , March , pp. 249 – 255 .
   Web of Science ®Google Scholar
• Segen , J. , Sanderson , A. C. 1979 . “ A Minimal Representation Criterion for Clustering ,” Computer Science and Statistics , 12 Annual Symp. on the Interface|bt, University of Waterloo , Ontario , May 1979 .
   Google Scholar
• Timor-Tritsch , I. , Zador , I. , Rosen , M. G. 1977 . “ Human Fetal Respiratory Arrhythmia ,” Am. J. Obstet. Gynecol. , Vol. 127 , 662 – 666 .
   PubMedGoogle Scholar
• Trierweiler , M. W. , Freeman , R. K. , James , J. 1976 . “ Baseline Fetal Heart Rate Characteristics as an Indicator of Fetal Status During the Antepartum Period ,” Amer. J. Obstet. Gynecol. , Vol. 125 , pp. 618 – 623 .
   PubMed Web of Science ®Google Scholar
• Vogel , M. A. and Wong , A. K. C. ( 1979 ). “ PFS Clustering Method ,” IEEE Trans. Pattern Analysis and Machine Intelligence , Vol. PAMI- 1 , No. 3 , July .
   PubMed Web of Science ®Google Scholar