Maximum likelihood estimation (English Wikipedia)

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

refsWebsite

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23doi.org

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8jstor.org

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7worldcat.org

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6books.google.com

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6archive.org

6^th place

4harvard.edu

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3stackexchange.com

1,983^rd place

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3springer.com

274^th place

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3wiley.com

222^nd place

297^th place

2nih.gov

4^th place

2copernicus.org

7,281^st place

5,368^th place

2zenodo.org

621^st place

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2ams.org

451^st place

277^th place

1siu.edu

low place

9,567^th place

1gatech.edu

4,448^th place

2,923^rd place

1stanford.edu

179^th place

183^rd place

1projecteuclid.org

3,707^th place

2,409^th place

ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.org

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 (Global: 6^th place; English: 6^th place)

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 (Global: 3^rd place; English: 3^rd place)

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.

copernicus.org (Global: 7,281^st place; English: 5,368^th place)

ascmo.copernicus.org

Jewson, Stephen; Sweeting, Trevor; Jewson, Lynne (2025-02-20). "Reducing reliability bias in assessments of extreme weather risk using calibrating priors". Advances in Statistical Climatology, Meteorology and Oceanography. 11 (1): 1–22. Bibcode:2025ASCMO..11....1J. doi:10.5194/ascmo-11-1-2025. ISSN 2364-3579.
Jewson, Stephen; Sweeting, Trevor; Jewson, Lynne (2025-02-20). "Reducing reliability bias in assessments of extreme weather risk using calibrating priors". Advances in Statistical Climatology, Meteorology and Oceanography. 11 (1): 1–22. Bibcode:2025ASCMO..11....1J. doi:10.5194/ascmo-11-1-2025. ISSN 2364-3579.

doi.org (Global: 2^nd place; English: 2^nd place)

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.
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. doi:10.1111/j.2517-6161.1968.tb00724.x. JSTOR 2984505.
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.
Coles, Stuart (2001). An Introduction to Statistical Modeling of Extreme Values. Springer Series in Statistics. doi:10.1007/978-1-4471-3675-0. ISBN 978-1-84996-874-4. ISSN 0172-7397.
Statistical Analysis of Extreme Values. 2007. doi:10.1007/978-3-7643-7399-3. ISBN 978-3-7643-7230-9.
Embrechts, Paul; Klüppelberg, Claudia; Mikosch, Thomas (1997). Modelling Extremal Events. doi:10.1007/978-3-642-33483-2. ISBN 978-3-642-08242-9.
Loss Models. Wiley Series in Probability and Statistics. 2013. doi:10.1002/9781118787106. ISBN 978-1-118-34356-2.
Gerrard, R.; Tsanakas, A. (2011). "Failure Probability Under Parameter Uncertainty". Risk Analysis. 31 (5): 727–744. Bibcode:2011RiskA..31..727G. doi:10.1111/j.1539-6924.2010.01549.x. ISSN 1539-6924. PMID 21175720.
Jewson, Stephen; Sweeting, Trevor; Jewson, Lynne (2025-02-20). "Reducing reliability bias in assessments of extreme weather risk using calibrating priors". Advances in Statistical Climatology, Meteorology and Oceanography. 11 (1): 1–22. Bibcode:2025ASCMO..11....1J. doi:10.5194/ascmo-11-1-2025. ISSN 2364-3579.
Severini, Thomas A.; Mukerjee, Rahul; Ghosh, Malay (2002-12-01). "On an exact probability matching property of right-invariant priors". Biometrika. 89 (4): 952–957. doi:10.1093/biomet/89.4.952. ISSN 0006-3444.
Gerrard, R.; Tsanakas, A. (2011). "Failure Probability Under Parameter Uncertainty". Risk Analysis. 31 (5): 727–744. Bibcode:2011RiskA..31..727G. doi:10.1111/j.1539-6924.2010.01549.x. ISSN 1539-6924. PMID 21175720.
Jewson, Stephen; Sweeting, Trevor; Jewson, Lynne (2025-02-20). "Reducing reliability bias in assessments of extreme weather risk using calibrating priors". Advances in Statistical Climatology, Meteorology and Oceanography. 11 (1): 1–22. Bibcode:2025ASCMO..11....1J. doi:10.5194/ascmo-11-1-2025. ISSN 2364-3579.
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.
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. ISSN 0883-4237. JSTOR 2676741.
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 (Global: 4,448^th place; English: 2,923^rd place)

cc.gatech.edu

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

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Gerrard, R.; Tsanakas, A. (2011). "Failure Probability Under Parameter Uncertainty". Risk Analysis. 31 (5): 727–744. Bibcode:2011RiskA..31..727G. doi:10.1111/j.1539-6924.2010.01549.x. ISSN 1539-6924. PMID 21175720.
Jewson, Stephen; Sweeting, Trevor; Jewson, Lynne (2025-02-20). "Reducing reliability bias in assessments of extreme weather risk using calibrating priors". Advances in Statistical Climatology, Meteorology and Oceanography. 11 (1): 1–22. Bibcode:2025ASCMO..11....1J. doi:10.5194/ascmo-11-1-2025. ISSN 2364-3579.
Gerrard, R.; Tsanakas, A. (2011). "Failure Probability Under Parameter Uncertainty". Risk Analysis. 31 (5): 727–744. Bibcode:2011RiskA..31..727G. doi:10.1111/j.1539-6924.2010.01549.x. ISSN 1539-6924. PMID 21175720.
Jewson, Stephen; Sweeting, Trevor; Jewson, Lynne (2025-02-20). "Reducing reliability bias in assessments of extreme weather risk using calibrating priors". Advances in Statistical Climatology, Meteorology and Oceanography. 11 (1): 1–22. Bibcode:2025ASCMO..11....1J. doi:10.5194/ascmo-11-1-2025. ISSN 2364-3579.

jstor.org (Global: 26^th place; English: 20^th place)

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. doi:10.1111/j.2517-6161.1968.tb00724.x. 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. doi:10.1214/ss/1009212248. ISSN 0883-4237. JSTOR 2676741.
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.

nih.gov (Global: 4^th place; English: 4^th place)

pubmed.ncbi.nlm.nih.gov

Gerrard, R.; Tsanakas, A. (2011). "Failure Probability Under Parameter Uncertainty". Risk Analysis. 31 (5): 727–744. Bibcode:2011RiskA..31..727G. doi:10.1111/j.1539-6924.2010.01549.x. ISSN 1539-6924. PMID 21175720.
Gerrard, R.; Tsanakas, A. (2011). "Failure Probability Under Parameter Uncertainty". Risk Analysis. 31 (5): 727–744. Bibcode:2011RiskA..31..727G. doi:10.1111/j.1539-6924.2010.01549.x. ISSN 1539-6924. PMID 21175720.

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

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 (Global: low place; English: 9,567^th place)

lagrange.math.siu.edu

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

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Coles, Stuart (2001). An Introduction to Statistical Modeling of Extreme Values. Springer Series in Statistics. doi:10.1007/978-1-4471-3675-0. ISBN 978-1-84996-874-4. ISSN 0172-7397.
Statistical Analysis of Extreme Values. 2007. doi:10.1007/978-3-7643-7399-3. ISBN 978-3-7643-7230-9.
Embrechts, Paul; Klüppelberg, Claudia; Mikosch, Thomas (1997). Modelling Extremal Events. doi:10.1007/978-3-642-33483-2. ISBN 978-3-642-08242-9.

stackexchange.com (Global: 1,983^rd place; English: 1,330^th place)

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 (Global: 179^th place; English: 183^rd place)

web.stanford.edu

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

wiley.com (Global: 222^nd place; English: 297^th place)

onlinelibrary.wiley.com

Loss Models. Wiley Series in Probability and Statistics. 2013. doi:10.1002/9781118787106. ISBN 978-1-118-34356-2.
Gerrard, R.; Tsanakas, A. (2011). "Failure Probability Under Parameter Uncertainty". Risk Analysis. 31 (5): 727–744. Bibcode:2011RiskA..31..727G. doi:10.1111/j.1539-6924.2010.01549.x. ISSN 1539-6924. PMID 21175720.
Gerrard, R.; Tsanakas, A. (2011). "Failure Probability Under Parameter Uncertainty". Risk Analysis. 31 (5): 727–744. Bibcode:2011RiskA..31..727G. doi:10.1111/j.1539-6924.2010.01549.x. ISSN 1539-6924. PMID 21175720.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Coles, Stuart (2001). An Introduction to Statistical Modeling of Extreme Values. Springer Series in Statistics. doi:10.1007/978-1-4471-3675-0. ISBN 978-1-84996-874-4. ISSN 0172-7397.
Gerrard, R.; Tsanakas, A. (2011). "Failure Probability Under Parameter Uncertainty". Risk Analysis. 31 (5): 727–744. Bibcode:2011RiskA..31..727G. doi:10.1111/j.1539-6924.2010.01549.x. ISSN 1539-6924. PMID 21175720.
Jewson, Stephen; Sweeting, Trevor; Jewson, Lynne (2025-02-20). "Reducing reliability bias in assessments of extreme weather risk using calibrating priors". Advances in Statistical Climatology, Meteorology and Oceanography. 11 (1): 1–22. Bibcode:2025ASCMO..11....1J. doi:10.5194/ascmo-11-1-2025. ISSN 2364-3579.
Severini, Thomas A.; Mukerjee, Rahul; Ghosh, Malay (2002-12-01). "On an exact probability matching property of right-invariant priors". Biometrika. 89 (4): 952–957. doi:10.1093/biomet/89.4.952. ISSN 0006-3444.
Gerrard, R.; Tsanakas, A. (2011). "Failure Probability Under Parameter Uncertainty". Risk Analysis. 31 (5): 727–744. Bibcode:2011RiskA..31..727G. doi:10.1111/j.1539-6924.2010.01549.x. ISSN 1539-6924. PMID 21175720.
Jewson, Stephen; Sweeting, Trevor; Jewson, Lynne (2025-02-20). "Reducing reliability bias in assessments of extreme weather risk using calibrating priors". Advances in Statistical Climatology, Meteorology and Oceanography. 11 (1): 1–22. Bibcode:2025ASCMO..11....1J. doi:10.5194/ascmo-11-1-2025. ISSN 2364-3579.
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. ISSN 0883-4237. JSTOR 2676741.

zenodo.org (Global: 621^st place; English: 380^th place)

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.

Maximum likelihood estimation (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

archive.org (Global: 6th place; English: 6th place)

books.google.com (Global: 3rd place; English: 3rd place)

copernicus.org (Global: 7,281st place; English: 5,368th place)

ascmo.copernicus.org

doi.org (Global: 2nd place; English: 2nd place)

gatech.edu (Global: 4,448th place; English: 2,923rd place)