Likelihood function (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Likelihood function" in English language version.

Last modified: 19:59:03, 8 August 2026 (UTC)

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adelaide.edu.au (Global: 4,894^th place; English: 3,221^st place)

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Fisher, R.A. (1922). "On the mathematical foundations of theoretical statistics". Philosophical Transactions of the Royal Society A. 222 (594–604): 309–368. Bibcode:1922RSPTA.222..309F. doi:10.1098/rsta.1922.0009. hdl:2440/15172. JFM 48.1280.02. JSTOR 91208.

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

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Fisher, R.A. (1922). "On the mathematical foundations of theoretical statistics". Philosophical Transactions of the Royal Society A. 222 (594–604): 309–368. Bibcode:1922RSPTA.222..309F. doi:10.1098/rsta.1922.0009. hdl:2440/15172. JFM 48.1280.02. JSTOR 91208.
Fisher, Ronald (1930). "Inverse Probability". Mathematical Proceedings of the Cambridge Philosophical Society. 26 (4): 528–535. Bibcode:1930PCPS...26..528F. doi:10.1017/S0305004100016297. hdl:2440/15206.

ams.org (Global: 434^th place; English: 249^th place)

mathscinet.ams.org

Cox, D. R. (1975). "Partial likelihood". Biometrika. 62 (2): 269–276. doi:10.1093/biomet/62.2.269. MR 0400509.

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

Greenberg, Edward; Webster, Charles E. Jr. (1983). Advanced Econometrics: A Bridge to the Literature. New York, NY: John Wiley & Sons. pp. 24–25. ISBN 0-471-09077-8.
Buse, A. (1982). "The Likelihood Ratio, Wald, and Lagrange Multiplier Tests: An Expository Note". The American Statistician. 36 (3a): 153–157. doi:10.1080/00031305.1982.10482817.
Pawitan, Yudi (2001). In All Likelihood: Statistical Modelling and Inference Using Likelihood. Oxford University Press. ISBN 978-0-19-850765-9.
Amemiya, Takeshi (1985). "Concentrated Likelihood Function". Advanced Econometrics. Cambridge: Harvard University Press. pp. 125–127. ISBN 978-0-674-00560-0.
Davidson, Russell; MacKinnon, James G. (1993). "Concentrating the Loglikelihood Function". Estimation and Inference in Econometrics. New York: Oxford University Press. pp. 267–269. ISBN 978-0-19-506011-9.
Pickles, Andrew (1985). An Introduction to Likelihood Analysis. Norwich: W. H. Hutchins & Sons. pp. 21–24. ISBN 0-86094-190-6.
Foutz, Robert V. (1977). "On the Unique Consistent Solution to the Likelihood Equations". Journal of the American Statistical Association. 72 (357): 147–148. doi:10.1080/01621459.1977.10479926.
Tarone, Robert E.; Gruenhage, Gary (1975). "A Note on the Uniqueness of Roots of the Likelihood Equations for Vector-Valued Parameters". Journal of the American Statistical Association. 70 (352): 903–904. doi:10.1080/01621459.1975.10480321.

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

Gouriéroux, Christian; Monfort, Alain (1995). Statistics and Econometric Models. New York: Cambridge University Press. p. 161. ISBN 0-521-40551-3.
Azzalini, A. (1996), Statistical Inference—Based on the likelihood, Chapman & Hall, ISBN 9780412606502 (§1.4.2).
Amemiya, Takeshi (1985). "Concentrated Likelihood Function". Advanced Econometrics. Cambridge: Harvard University Press. pp. 125–127. ISBN 978-0-674-00560-0.
Gourieroux, Christian; Monfort, Alain (1995). "Concentrated Likelihood Function". Statistics and Econometric Models. New York: Cambridge University Press. pp. 170–175. ISBN 978-0-521-40551-5.
Bolker, Benjamin M. (2008). Ecological Models and Data in R. Princeton University Press. pp. 187–189. ISBN 978-0-691-12522-0.
Kass, Robert E.; Vos, Paul W. (1997). Geometrical Foundations of Asymptotic Inference. New York: John Wiley & Sons. p. 14. ISBN 0-471-82668-5.

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

Mäkeläinen, Timo; Schmidt, Klaus; Styan, George P.H. (1981). "On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples". Annals of Statistics. 9 (4): 758–767. doi:10.1214/aos/1176345516. JSTOR 2240844.
Mascarenhas, W.F. (2011). "A mountain pass lemma and its implications regarding the uniqueness of constrained minimizers". Optimization. 60 (8–9): 1121–1159. doi:10.1080/02331934.2010.527973. S2CID 15896597.
Chanda, K.C. (1954). "A note on the consistency and maxima of the roots of likelihood equations". Biometrika. 41 (1–2): 56–61. doi:10.2307/2333005. JSTOR 2333005.
Heyde, C. C.; Johnstone, I. M. (1979). "On Asymptotic Posterior Normality for Stochastic Processes". Journal of the Royal Statistical Society. Series B (Methodological). 41 (2): 184–189. doi:10.1111/j.2517-6161.1979.tb01071.x.
Chen, Chan-Fu (1985). "On Asymptotic Normality of Limiting Density Functions with Bayesian Implications". Journal of the Royal Statistical Society. Series B (Methodological). 47 (3): 540–546. doi:10.1111/j.2517-6161.1985.tb01384.x.
Buse, A. (1982). "The Likelihood Ratio, Wald, and Lagrange Multiplier Tests: An Expository Note". The American Statistician. 36 (3a): 153–157. doi:10.1080/00031305.1982.10482817.
Hudson, D. J. (1971), "Interval estimation from the likelihood function", Journal of the Royal Statistical Society, Series B, 33 (2): 256–262, doi:10.1111/j.2517-6161.1971.tb00877.x.
Venzon, D. J.; Moolgavkar, S. H. (1988). "A Method for Computing Profile-Likelihood-Based Confidence Intervals". Journal of the Royal Statistical Society. Series C (Applied Statistics). 37 (1): 87–94. doi:10.2307/2347496. JSTOR 2347496.
Cox, D. R. (1975). "Partial likelihood". Biometrika. 62 (2): 269–276. doi:10.1093/biomet/62.2.269. MR 0400509.
Foutz, Robert V. (1977). "On the Unique Consistent Solution to the Likelihood Equations". Journal of the American Statistical Association. 72 (357): 147–148. doi:10.1080/01621459.1977.10479926.
Tarone, Robert E.; Gruenhage, Gary (1975). "A Note on the Uniqueness of Roots of the Likelihood Equations for Vector-Valued Parameters". Journal of the American Statistical Association. 70 (352): 903–904. doi:10.1080/01621459.1975.10480321.
Rai, Kamta; Van Ryzin, John (1982). "A Note on a Multivariate Version of Rolle's Theorem and Uniqueness of Maximum Likelihood Roots". Communications in Statistics. Theory and Methods. 11 (13): 1505–1510. doi:10.1080/03610928208828325.
Rao, B. Raja (1960). "A formula for the curvature of the likelihood surface of a sample drawn from a distribution admitting sufficient statistics". Biometrika. 47 (1–2): 203–207. doi:10.1093/biomet/47.1-2.203.
Hald, A. (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.
Fisher, R.A. (1922). "On the mathematical foundations of theoretical statistics". Philosophical Transactions of the Royal Society A. 222 (594–604): 309–368. Bibcode:1922RSPTA.222..309F. doi:10.1098/rsta.1922.0009. hdl:2440/15172. JFM 48.1280.02. JSTOR 91208.
Fisher, Ronald (1930). "Inverse Probability". Mathematical Proceedings of the Cambridge Philosophical Society. 26 (4): 528–535. Bibcode:1930PCPS...26..528F. doi:10.1017/S0305004100016297. hdl:2440/15206.
Fienberg, Stephen E (1997). "Introduction to R.A. Fisher on inverse probability and likelihood". Statistical Science. 12 (3): 161. doi:10.1214/ss/1030037905.
Sox, H. C.; Higgins, M. C.; Owens, D. K. (2013), Medical Decision Making (2nd ed.), Wiley, chapters 3–4, doi:10.1002/9781118341544, ISBN 9781118341544

hdl.handle.net (Global: 66^th place; English: 34^th place)

Fisher, R.A. (1922). "On the mathematical foundations of theoretical statistics". Philosophical Transactions of the Royal Society A. 222 (594–604): 309–368. Bibcode:1922RSPTA.222..309F. doi:10.1098/rsta.1922.0009. hdl:2440/15172. JFM 48.1280.02. JSTOR 91208.
Fisher, Ronald (1930). "Inverse Probability". Mathematical Proceedings of the Cambridge Philosophical Society. 26 (4): 528–535. Bibcode:1930PCPS...26..528F. doi:10.1017/S0305004100016297. hdl:2440/15206.

jstor.org (Global: 23^rd place; English: 15^th place)

Mäkeläinen, Timo; Schmidt, Klaus; Styan, George P.H. (1981). "On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples". Annals of Statistics. 9 (4): 758–767. doi:10.1214/aos/1176345516. JSTOR 2240844.
Chanda, K.C. (1954). "A note on the consistency and maxima of the roots of likelihood equations". Biometrika. 41 (1–2): 56–61. doi:10.2307/2333005. JSTOR 2333005.
Venzon, D. J.; Moolgavkar, S. H. (1988). "A Method for Computing Profile-Likelihood-Based Confidence Intervals". Journal of the Royal Statistical Society. Series C (Applied Statistics). 37 (1): 87–94. doi:10.2307/2347496. JSTOR 2347496.
Kalbfleisch, J. D.; Sprott, D. A. (1973). "Marginal and Conditional Likelihoods". Sankhyā: The Indian Journal of Statistics. Series A. 35 (3): 311–328. JSTOR 25049882.
Hald, A. (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.
Fisher, R.A. (1922). "On the mathematical foundations of theoretical statistics". Philosophical Transactions of the Royal Society A. 222 (594–604): 309–368. Bibcode:1922RSPTA.222..309F. doi:10.1098/rsta.1922.0009. hdl:2440/15172. JFM 48.1280.02. JSTOR 91208.

projecteuclid.org (Global: 4,781^st place; English: 3,117^th place)

Hald, A. (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.

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Mascarenhas, W.F. (2011). "A mountain pass lemma and its implications regarding the uniqueness of constrained minimizers". Optimization. 60 (8–9): 1121–1159. doi:10.1080/02331934.2010.527973. S2CID 15896597.

stackexchange.com (Global: 4,114^th place; English: 3,027^th place)

stats.stackexchange.com

Papadopoulos, Alecos (September 25, 2013). "Why we always put log() before the joint pdf when we use MLE (Maximum likelihood Estimation)?". Stack Exchange.

thu.edu.tw (Global: low place; English: low place)

web.thu.edu.tw

Wen Hsiang Wei. "Generalized Linear Model - course notes". Taichung, Taiwan: Tunghai University. pp. Chapter 5. Retrieved 2017-10-01.

zbmath.org (Global: 2,089^th place; English: 1,141^st place)

Fisher, R.A. (1922). "On the mathematical foundations of theoretical statistics". Philosophical Transactions of the Royal Society A. 222 (594–604): 309–368. Bibcode:1922RSPTA.222..309F. doi:10.1098/rsta.1922.0009. hdl:2440/15172. JFM 48.1280.02. JSTOR 91208.