Maximum likelihood estimation (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Maximum likelihood estimation" in English language version.

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Pfanzagl, Johann (1994). Parametric Statistical Theory. Walter de Gruyter. pp. 207–208. doi:10.1515/9783110889765. ISBN 978-3-11-013863-4. MR 1291393.
Aldrich, John (1997). "R.A. Fisher and the making of maximum likelihood 1912–1922". Statistical Science. 12 (3): 162–176. doi:10.1214/ss/1030037906. MR 1617519.

archive.org

Gourieroux, Christian; Monfort, Alain (1995). Statistics and Econometrics Models. Cambridge University Press. p. 161. ISBN 0-521-40551-3.
Kane, Edward J. (1968). Economic Statistics and Econometrics. New York, NY: Harper & Row. p. 179.
Fletcher, R. (1987). Practical Methods of Optimization (Second ed.). New York, NY: John Wiley & Sons. ISBN 0-471-91547-5.
Amemiya, Takeshi (1985). Advanced Econometrics. Cambridge: Harvard University Press. pp. 137–138. ISBN 0-674-00560-0.
Gill, Philip E.; Murray, Walter; Wright, Margaret H. (1981). Practical Optimization. London, UK: Academic Press. pp. 312–313. ISBN 0-12-283950-1.
Stigler, Stephen M. (1986). The history of statistics: the measurement of uncertainty before 1900. Harvard University Press. ISBN 978-0-674-40340-6.

books.google.com

Press, W.H.; Flannery, B.P.; Teukolsky, S.A.; Vetterling, W.T. (1992). "Least Squares as a Maximum Likelihood Estimator". Numerical Recipes in FORTRAN: The Art of Scientific Computing (2nd ed.). Cambridge: Cambridge University Press. pp. 651–655. ISBN 0-521-43064-X.
Small, Christoper G.; Wang, Jinfang (2003). "Working with roots". Numerical Methods for Nonlinear Estimating Equations. Oxford University Press. pp. 74–124. ISBN 0-19-850688-0.
Kass, Robert E.; Vos, Paul W. (1997). Geometrical Foundations of Asymptotic Inference. New York, NY: John Wiley & Sons. p. 14. ISBN 0-471-82668-5.
Silvey, S. D. (1975). Statistical Inference. London, UK: Chapman and Hall. p. 79. ISBN 0-412-13820-4.
Murphy, Kevin P. (2012). Machine Learning: A Probabilistic Perspective. Cambridge: MIT Press. p. 247. ISBN 978-0-262-01802-9.
See theorem 10.1 in Avriel, Mordecai (1976). Nonlinear Programming: Analysis and Methods. Englewood Cliffs, NJ: Prentice-Hall. pp. 293–294. ISBN 978-0-486-43227-4.

doi.org

Myung, I.J. (2003). "Tutorial on maximum likelihood Estimation". Journal of Mathematical Psychology. 47 (1): 90–100. doi:10.1016/S0022-2496(02)00028-7.
Schwallie, Daniel P. (1985). "Positive definite maximum likelihood covariance estimators". Economics Letters. 17 (1–2): 115–117. doi:10.1016/0165-1765(85)90139-9.
Kano, Yutaka (1996). "Third-order efficiency implies fourth-order efficiency". Journal of the Japan Statistical Society. 26: 101–117. doi:10.14490/jjss1995.26.101.
Edgeworth, Francis Y. (Sep 1908). "On the probable errors of frequency-constants". Journal of the Royal Statistical Society. 71 (3): 499–512. doi:10.2307/2339293. JSTOR 2339293.
Edgeworth, Francis Y. (Dec 1908). "On the probable errors of frequency-constants". Journal of the Royal Statistical Society. 71 (4): 651–678. doi:10.2307/2339378. JSTOR 2339378.
Pfanzagl, Johann (1994). Parametric Statistical Theory. Walter de Gruyter. pp. 207–208. doi:10.1515/9783110889765. ISBN 978-3-11-013863-4. MR 1291393.
Wilks, S.S. (1938). "The large-sample distribution of the likelihood ratio for testing composite hypotheses". Annals of Mathematical Statistics. 9: 60–62. doi:10.1214/aoms/1177732360.
Savage, Leonard J. (1976). "On rereading R.A. Fisher". The Annals of Statistics. 4 (3): 441–500. doi:10.1214/aos/1176343456. JSTOR 2958221.
Pratt, John W. (1976). "F. Y. Edgeworth and R. A. Fisher on the efficiency of maximum likelihood estimation". The Annals of Statistics. 4 (3): 501–514. doi:10.1214/aos/1176343457. JSTOR 2958222.
Stigler, Stephen M. (1978). "Francis Ysidro Edgeworth, statistician". Journal of the Royal Statistical Society, Series A. 141 (3): 287–322. doi:10.2307/2344804. JSTOR 2344804.
Hald, Anders (1999). "On the history of maximum likelihood in relation to inverse probability and least squares". Statistical Science. 14 (2): 214–222. doi:10.1214/ss/1009212248. JSTOR 2676741.
Aldrich, John (1997). "R.A. Fisher and the making of maximum likelihood 1912–1922". Statistical Science. 12 (3): 162–176. doi:10.1214/ss/1030037906. MR 1617519.

gatech.edu

cc.gatech.edu

Christensen, Henrikt I. "Pattern Recognition" (PDF) (lecture). Bayesian Decision Theory - CS 7616. Georgia Tech.

jstor.org

See formula 20 in Cox, David R.; Snell, E. Joyce (1968). "A general definition of residuals". Journal of the Royal Statistical Society, Series B. 30 (2): 248–275. JSTOR 2984505.
Edgeworth, Francis Y. (Sep 1908). "On the probable errors of frequency-constants". Journal of the Royal Statistical Society. 71 (3): 499–512. doi:10.2307/2339293. JSTOR 2339293.
Edgeworth, Francis Y. (Dec 1908). "On the probable errors of frequency-constants". Journal of the Royal Statistical Society. 71 (4): 651–678. doi:10.2307/2339378. JSTOR 2339378.
Hald, Anders (1999). "On the History of Maximum Likelihood in Relation to Inverse Probability and Least Squares". Statistical Science. 14 (2): 214–222. ISSN 0883-4237.
Savage, Leonard J. (1976). "On rereading R.A. Fisher". The Annals of Statistics. 4 (3): 441–500. doi:10.1214/aos/1176343456. JSTOR 2958221.
Pratt, John W. (1976). "F. Y. Edgeworth and R. A. Fisher on the efficiency of maximum likelihood estimation". The Annals of Statistics. 4 (3): 501–514. doi:10.1214/aos/1176343457. JSTOR 2958222.
Stigler, Stephen M. (1978). "Francis Ysidro Edgeworth, statistician". Journal of the Royal Statistical Society, Series A. 141 (3): 287–322. doi:10.2307/2344804. JSTOR 2344804.
Hald, Anders (1999). "On the history of maximum likelihood in relation to inverse probability and least squares". Statistical Science. 14 (2): 214–222. doi:10.1214/ss/1009212248. JSTOR 2676741.

projecteuclid.org

Hald, Anders (1999). "On the history of maximum likelihood in relation to inverse probability and least squares". Statistical Science. 14 (2): 214–222. doi:10.1214/ss/1009212248. JSTOR 2676741.

siu.edu

lagrange.math.siu.edu

Olive, David (2004). "Does the MLE maximize the likelihood?" (PDF). Southern Illinois University.

stackexchange.com

stats.stackexchange.com

Papadopoulos, Alecos (25 September 2013). "Why we always put log() before the joint pdf when we use MLE (Maximum likelihood Estimation)?". Stack Exchange.
cmplx96 (https://stats.stackexchange.com/users/177679/cmplx96), Kullback–Leibler divergence, URL (version: 2017-11-18): https://stats.stackexchange.com/q/314472 (at the youtube video, look at minutes 13 to 25)
Sycorax says Reinstate Monica (https://stats.stackexchange.com/users/22311/sycorax-says-reinstate-monica), the relationship between maximizing the likelihood and minimizing the cross-entropy, URL (version: 2019-11-06): https://stats.stackexchange.com/q/364237

stanford.edu

web.stanford.edu

Introduction to Statistical Inference | Stanford (Lecture 16 — MLE under model misspecification)

worldcat.org

search.worldcat.org

Hald, Anders (1999). "On the History of Maximum Likelihood in Relation to Inverse Probability and Least Squares". Statistical Science. 14 (2): 214–222. ISSN 0883-4237.

zenodo.org

Edgeworth, Francis Y. (Sep 1908). "On the probable errors of frequency-constants". Journal of the Royal Statistical Society. 71 (3): 499–512. doi:10.2307/2339293. JSTOR 2339293.
Edgeworth, Francis Y. (Dec 1908). "On the probable errors of frequency-constants". Journal of the Royal Statistical Society. 71 (4): 651–678. doi:10.2307/2339378. JSTOR 2339378.