

Bibliography
for Nonlinear Curve Fitting
unabridged
- 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.
- Polynomials associated with
exponential regression
Bukac, J.
Applicationes Mathematicae, 2001, vol. 28, no. 3, pp. 247-255,
Ingenta.
- 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.
- Law of Exponentiality and
Exponential Curve Fitting
Lin, Y.; Liu, S.
Systems Analysis Modelling Simulation, 2000, vol. 38, no. 4, pp.
621-636, Ingenta.
- 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.
- 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.
- 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.
- Curve fitting and
interpolation of biological data under
uncertainties.
Markov, S.; Akyildiz, Y.
J.UCS 2 (1996), no. 2, 58--68 (electronic).
- Curve fitting and
identification of physical spectra.
Böckmann, Christine
J. Comput. Appl. Math. 70 (1996), no. 2, 207--224.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- A new method for solving the
nonlinear curve fitting problem.
(Hungarian)
Kutas, Tibor
Alkalmaz. Mat. Lapok 6 (1980), no. 1-2, 17--26.
- Some methods of growth curve
fitting.
Grassia, A.; de Boer, E. S.
Math. Sci. 5 (1980), no. 2, 91--103.
- 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.
- 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.
- 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.
- A
Method of Exponential Curve Fitting by Numerical
Integration
Stephen D. Foss
Biometrics, Vol. 26, No. 4. (Dec., 1970), pp. 815-821,
Jstor.
- 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.
- General purpose curve
fitting.
Rice, J. R.
1970 Approximation Theory (Proc. Sympos., Lancaster, 1969) pp.
191--204 Academic Press, London
- Efficient
Difference Equation Estimators in Exponential
Regression
C. A. McGilchrist
Annals of Mathematical Statistics, Vol. 39, No. 5. (Oct., 1968),
pp. 1638-1645, Jstor.
- 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.
- 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.
- A further investigation on a
method for fitting an exponential curve.
Khatri, C. G.
Vidya 3 1963 no. 1, 38--44, MathSciNet.
- 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.
- 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.
- 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.
- 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.
- 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.
- The
Use of Autoregression in Fitting an Exponential
Curve
H. D. Patterson
Biometrika, Vol. 45, No. 3/4. (Dec., 1958), pp. 389-400,
Jstor.
- 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.
- 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.
- 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