Bibliography for Nonlinear Curve Fitting

unabridged

  1. True distance fit of exponential curves and tests of applications.
    Lin, Yi; DeNu, Roman; Patel, Narendra
    Int. J. Appl. Math. 9 (2002), no. 1, 49--68, MathSciNet.  
  2. Polynomials associated with exponential regression
    Bukac, J.
    Applicationes Mathematicae, 2001, vol. 28, no. 3, pp. 247-255, Ingenta.  
  3. The best least squares approximation problem for a 3-parametric exponential regression model
    Jukic, D.; Scitovski, R.
    Anziam Journal, 2000, vol. 42, no. 2, pp. 254-266, Ingenta.  
  4. Law of Exponentiality and Exponential Curve Fitting
    Lin, Y.; Liu, S.
    Systems Analysis Modelling Simulation, 2000, vol. 38, no. 4, pp. 621-636, Ingenta.  
  5. On species-area relationships I: Fit of power function and exponential model.
    Ulrich, Werner
    Ekologia polska. Polish journal of ecology, 2000, vol. 48, no. 1, pp. 3, Ingenta.  
  6. Curve fitting with an optimal base of exponential functions. (Chinese)
    Xiao, Hua Yong; Tian, Zheng; Sun, Jin Cai
    J. Numer. Methods Comput. Appl. 20 (1999), no. 4, 301--311; translation in Chinese J. Numer. Math. Appl. 22 (2000), no. 2, 76--83, MathSciNet.  
  7. Efficient exponential regression with exact fiducial limits to fit cardiac pressure data.
    Langer, S. F. J.
    Computer methods and programs in biomedicine, 1997, vol. 53, no. 1, pp. 57, Ingenta.  
  8. Curve fitting and interpolation of biological data under uncertainties.    
    Markov, S.; Akyildiz, Y.    
    J.UCS 2 (1996), no. 2, 58--68 (electronic).
  9. Curve fitting and identification of physical spectra.    
    Böckmann, Christine    
    J. Comput. Appl. Math. 70 (1996), no. 2, 207--224.
  10. On the Existence of the Least Squares Estimate in Nonlinear Growth Curve Models of Exponential Type.
    Demidenko, E.
    Communications in statistics, 1996, vol. 25, no. 1, pp. 159, Ingenta.  
  11. Recovery From Depression Illness Does Fit an Exponential Model.
    Priest, Robert G.; Hawley, Chris J.; Steinert, Jack
    Journal of clinical psychopharmacology, 1996, vol. 16, no. 6, pp. 420, Ingenta.  
  12. An algorithm for nonlinear L1 curve-fitting based on the smooth approximation.    
    Yang, Zi Qiang    
    Comput. Statist. Data Anal. 19 (1995), no. 1, 45--52.
  13. Unbiased Testing in Exponential Family Regression (in Regression, Least Squares and M-Estimation)  
    Arthur Cohen, J. H. B. Kemperman, H. B. Sackrowitz  
    Annals of Statistics, Vol. 22, No. 4. (Dec., 1994), pp. 1931-1946, Jstor.  
  14. A novel use of differential equations to fit exponential functions to experimental data.
    Martin, J.L.; Maconochie, D.J.; Knight, D.E.
    Journal of neuroscience methods, 1994, vol. 51, no. 2, pp. 135, Ingenta.  
  15. Fit of a sum of exponential functions to experimental data points.
    Monjoie, F. S.; Garnir, H. P.
    Computer physics communications, 1993, vol. 74, no. 1, pp. 1, Ingenta.  
  16. Two-Dimensional Exponential Fitting and Applications to Drift-Diffusion Models  
    Franco Brezzi, Luisa Donatella Marini, Paola Pietra  
    SIAM Journal on Numerical Analysis, Vol. 26, No. 6. (Dec., 1989), pp. 1342-1355, Jstor.  
  17. A Note on Foss's Method of Obtaining Initial Estimates for Exponential Curve Fitting by Numerical Integration  
    John L. Fresen, June M. Juritz  
    Biometrics, Vol. 42, No. 4. (Dec., 1986), pp. 821-827, Jstor.  
  18. Algorithm AS 212: Fitting the Exponential Curve by Least Squares (in Statistical Algorithms)  
    W. Douglas Stirling  
    Applied Statistics, Vol. 34, No. 2. (1985), pp. 183-192, Jstor.  
  19. Unidimensional curve fitting search schemes revisited for multidimensional optimization algorithms.    
    Rao, M. V. C.; Chandra, K. S.; Rajinikanth, M.    
    Comput. Electr. Engrg. 11 (1984), no. 1, 19--27.
  20. An absolute deviations curve-fitting algorithm for nonlinear models.
    Tishler, Asher; Zang, Israel
    Optimization in statistics, 81--103, Stud. Management Sci., 19, North-Holland, Amsterdam, 1982, Math. Sci. Net.  
  21. On an interval Newton's method derived from exponential curve fitting.
    Petkovi'c, M. S.
    Z. Angew. Math. Mech. 61 (1981), no. 2, 117--119, MathSciNet.  
  22. Nonlinear Curve-Fitting in the L1 and Linfty Norms  
    Richard I. Shrager, Edward Hill, Jr.  
    Mathematics of Computation, Vol. 34, No. 150. (Apr., 1980), pp. 529-541, Jstor.  
  23. The Fitting of Exponential, Weibull and Extreme Value Distributions to Complex Censored Survival Data Using GLIM  
    Murray Aitkin, David Clayton  
    Applied Statistics, Vol. 29, No. 2. (1980), pp. 156-163, Jstor.  
  24. Fitting an experimental decay curve to a sum of exponential functions. (Spanish)
    Bernabeu, E.; Pelayo, J.
    Rev. Acad. Cienc. Zaragoza (2) 35 (1980), 59--66 (1982), MathSciNet.  
  25. A new method for solving the nonlinear curve fitting problem. (Hungarian)    
    Kutas, Tibor    
    Alkalmaz. Mat. Lapok 6 (1980), no. 1-2, 17--26.
  26. Some methods of growth curve fitting.    
    Grassia, A.; de Boer, E. S.    
    Math. Sci. 5 (1980), no. 2, 91--103.
  27. Algorithms for the Solution of the Nonlinear Least-Squares Problem  
    Philip E. Gill, Walter Murray  
    SIAM Journal on Numerical Analysis, Vol. 15, No. 5. (Oct., 1978), pp. 977-992, Jstor.  
  28. A scale-free goodness-of-fit test for the exponential distribution based on the Lorenz curve.
    Gail, Mitchell H.; Gastwirth, Joseph L.
    J. Amer. Statist. Assoc. 73 (1978), no. 364, 787--793, MathSciNet.  
  29. Vector-Valued Approximation and its Application to Fitting Exponential Decay Curves  
    Geneva G. Belford  
    Mathematics of Computation, Vol. 28, No. 125. (Jan., 1974), pp. 179-184, Jstor.  
  30. A Method of Exponential Curve Fitting by Numerical Integration  
    Stephen D. Foss  
    Biometrics, Vol. 26, No. 4. (Dec., 1970), pp. 815-821, Jstor.  
  31. 266 Note: A Method for Obtaining Initial Estimates of the Parameters in Exponential Curve Fitting (in Queries and Notes)  
    S. D. Foss  
    Biometrics, Vol. 25, No. 3. (Sep., 1969), pp. 580-584, Jstor.  
  32. General purpose curve fitting.    
    Rice, J. R.    
    1970 Approximation Theory (Proc. Sympos., Lancaster, 1969) pp. 191--204 Academic Press, London
  33. Efficient Difference Equation Estimators in Exponential Regression  
    C. A. McGilchrist  
    Annals of Mathematical Statistics, Vol. 39, No. 5. (Oct., 1968), pp. 1638-1645, Jstor.  
  34. A Two-Stage Forecasting Model: Exponential Smoothing and Multiple Regression  
    Dwight B. Crane, James R. Crotty  
    Management Science, Vol. 13, No. 8, Series B, Managerial. (Apr., 1967), pp. B501-B507, Jstor.  
  35. The Derivation of Methods of Fitting Exponential Regression Curves (in Miscellanea)  
    S. Lipton, C. A. McGilchrist  
    Biometrika, Vol. 51, No. 3/4. (Dec., 1964), pp. 504-508, Jstor.  
  36. A further investigation on a method for fitting an exponential curve.
    Khatri, C. G.
    Vidya 3 1963 no. 1, 38--44, MathSciNet.  
  37. A Note on the Curve Fitting of Discrete Data by Economization (in Technical Notes and Short Papers)  
    F. D. Burgoyne  
    Mathematics of Computation, Vol. 16, No. 80. (Oct., 1962), pp. 498-499, Jstor.  
  38. A Further Note on a Simple Method for Fitting an Exponential Curve (in Miscellanea)  
    H. D. Patterson  
    Biometrika, Vol. 47, No. 1/2. (Jun., 1960), pp. 177-180, Jstor.  
  39. An Investigation of Hartley's Method for Fitting an Exponential Curve  
    H. D. Patterson, S. Lipton  
    Biometrika, Vol. 46, No. 3/4. (Dec., 1959), pp. 281-292, Jstor.  
  40. The Efficiency of Internal Regression for the Fitting of the Exponential Regression  
    H. O. Hartley  
    Biometrika, Vol. 46, No. 3/4. (Dec., 1959), pp. 293-295, Jstor.  
  41. An Application of Linear Programming to Curve Fitting  
    James E. Kelley, Jr.  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 6, No. 1. (Mar., 1958), pp. 15-22, Jstor.  
  42. The Use of Autoregression in Fitting an Exponential Curve  
    H. D. Patterson  
    Biometrika, Vol. 45, No. 3/4. (Dec., 1958), pp. 389-400, Jstor.  
  43. Simplified Procedures for Fitting a Gompertz Curve and a Modified Exponential Curve  
    Jack Sherman, Winifred J. Morrison  
    Journal of the American Statistical Association, Vol. 45, No. 249. (Mar., 1950), pp. 87-96, Jstor.  
  44. Fitting the Exponential Function and the Gompertz Function by the Method of Least Squares  
    Paul Matthew Stoner  
    Journal of the American Statistical Association, Vol. 36, No. 216. (Dec., 1941), pp. 515-518, Jstor.  
  45. Discussion of an Exponential Curve  
    Irving P. Church  
    The Analyst, Vol. 1, No. 5. (May, 1874), pp. 84-86, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003