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What are the most important statistical ideas of the past 50 years?
Andrew Gelman, Aki Vehtari
https://arxiv.org/abs/2012.00174

# References 
# 32
Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm (with discussion). Journal of the Royal Statistical Society B 39, 1–38.

https://www.ece.iastate.edu/~namrata/EE527_Spring08/Dempster77.pdf

# References  on 32

## 32.1
BARGMANRN., (1957). A study of independence and dependence in multivariate normal analysis. Mimeo Series No. 186, University of North Carolina.

https://books.google.co.jp/books?id=tD1LAQAAMAAJ&printsec=frontcover&hl=ja&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false


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[4] Bergmann, R. B. , "A Demonstration Study on the Effective-ness of Factor-Analytical Methods," Noohecbule f. Internationals Bled. forechung, Frankfurt/Main, Forschungetericht (June, 1955). 
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[17] Hon., P. G., "Some Contributions to Factor Analysis," Ph.D. dissertation, University of north Carolina (1955). 
[18] Kendall, M. G., The Advanced Theo, of statietic• vol. and II, Claris. Griffin, London (1931, 3rd ed.). 

[19] Kendall, M. G., and Smith, H., "Factor Analysis," Joon, Soz. c., Series 9, vol. XII (1950) pp. 60-94
[20] Lavley, D. II., "The Estimation of Factor Loadings byline Method of Maximum Likelihood," Proc. poy. toc. Edinb., vol. 131 (1940) pp. 64-82. 
[21] Ledermann, V., "On a Problem Concerning Matrices vith Variable Diagonal Elements," Proc. 13(y. Soc. 20100., vol. LX, part I (1959) pp. 1-117 
[22] Olkin, I. and Roy, S. H., "On Multivariate Distribution Theory," Ann. Math. Stat., vol. XXV (1950) pp. 329-359. 
[23] Pearson, 2. S. and Hartley, E. 0., (ed.) Hicastrike Tables  for Statistician. vol. I, Cambridge University Frees (1959, 4th ed.). 
[24] Pearson, K., "On Lines and Plena of Closest Pit to Systems of Polite in Space," Eta. 95f., at series, vol. II (1901) pp. 559.532. 
[25] Pineau, H., "Remarsue• eur l'enelyse factorielle de gotelling. Comps:alma avec les mithodes centroides,• Cclog■Les Internationauz du Centre National de la RecEhe Scientifive, va.-LVIII ,105) y1,7177:1117- 

[26] Roy, J., "The Distribution of certain Likelihood Criteria Ves-tal in Multivariate Analysis," Bull. intern. Stat. Inst., vol. %XXIII, part 2, pp. 219.230

[27] Roy, J., "On some Teeth of Significance in Samples from —M-Polar Normal Dietributione," Sankhya vol. XIV, part 3 (1954) pp. 203.210.
[28] Roy, S. N., "On s Heuristic Method of Tent Conetruction and Its Use in Multivariate Analysis," Ann. Math. Stat., 001. X,IN (1953) pp. 220-238. —
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[30] Roy, S. N., "Some Further Results in Simultaneous Confidence —3erval Estimation," Ann. Math. Stat., vol. UN (1954) PP. 752-761. 
[31]  Roy, S. N.,"A Report on Some Aspecte of Multimariate Analy--7 Institute of Statietice, University of North Caro-lina, Mimeograph Series No. 121 (1954). 
[32] Roy, S. N.,  "A Note on 'Some Further Results in Simultaneous Confidence Interval Estimation.," Ann. Meth. Stat., vol. NMI (1956) pp. 656-858. 
[33]   Roy, S. N., and Bergmann, R. E., "Tests of Multiple Independ-ence and the Aenocieted Confidence Bound.," institute of Stet..., University of North Carolina, mimeograph Serie. No. 175 (1957).
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[35]  Roy, S. N.,  and Onanadesiken, R., "Further Contributions to MultIvariate Confidence Bounds," institute Of Statistics, University of North Carolina. Mimeokreth Series No. 155 
[36]  Roy, S. N., and Urban, A. B.. "On Inverting a Class of pat. tooted diatricee,. Biometrika, vol. BLit' (1956) pp. 227-231. 
[37] Spearman, C., The Abilities of Man, McMillan (1927)
[38] Thomson, Sir Godfrey, The yactorial Analysis of Human Ability, Boughton Mifflin, Boston (1939). 
[39] Mormon, Sir Godfrey and Ledermann, V., "The Influence of Multivariate Selection on the Factor Analysis of Ability," Brit. Journ. Psych., vol. XXIX (1939) Part III
[40] Thurston, L. L., "Theory of Multiple Factor.," Ann Arbor, Mich. (1933), Microfilm No. 1648, Library, University of Chicago. 
[41] Thurston, L. L., The Vectors of Mind University of Chicago Press (1935
[42] Thurston, L. L., Multiple Factor Analysis, University of Chicago press  
[43] Votaw, D. F., "Testing Compound Sytmetry in a Normal Multi-variate Population,' Ann. Math. Stat., vol. XIX (1948) Pb. 417.473. 
[44] Wald, A. and Brookner, R. J., "On the Distribution of Wilk.' Statietic for Testing the independence of Several Groupe of Veriates," Ann. Math. Stat., vol. XII (1941) p. 137. 
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[46]Wilke, S. S., 'On the Independence of k Sets of Normally Die-Statietical Variables,' Econometrics vol. III (1935) PP. 309-326. 
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[49] WiobarL, J., "Sampling Error. In the Theory of Two Factors,' Brit. Journ. Psych., vol. XIX (10) pp. 180.187. 

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FEDOROV,. V. (1972). Theory of Optimal Experiments (E. M. Klimko and W. J. Studden, eds and translators). New York: Academic Press.
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FELLMANJ., (1974). On the allocation of linear observations. CommentationesPhys.-Math., 44, Nos. 2-3. 
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FISHERR,.A.(1925).Theoryofstatisticalestimation.Proc.Camb.Phil.Soc.,22,700-725.
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GEPPERTM, . P. (1961). Erwartungstreue plausibelste Schutzen aus dreieckig gestutzen Kontingenstafeln.Biometr. Zeitschr., 3, 54-67.
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GOODMANL., A. (1968). The analysis of cross-classified data. Independence, quasi-independence and - interaction in contingency tables with or without missing entries. J. Amer. Statist. Ass., 63, 1091-1131.
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GOODMANL.(1974). Exploratory latent-structure analysis using both identifiable and unidentifiable models. Biometrika, 61,215-23 1.
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GUTTMANI., (1971). A remark on the optimal regression designs with previous observations of Covey- Crump and Silvey. Biometrika, 58, 683-685.
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HABERMASN. ,J. (1971). Tables based on imperfect observation. Invited paper at the 1971 ENAR meeting, -Pennsylvania State University.
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HABERMASN. ,J. (1974). Loglinear models for frequency tables derived by indirect observation: maximum likelihood equations. Ann. Statist., 2, 911-924.
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HEMMERLWE,. J. (1974). Nonorthogonal analysis of variance using iterative improvement and balanced residuals. J. Amer. Statist. Ass., 69, 772-778.
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HEMMERLWE,. J. and HARTLEYH,. 0. (1973). Computing maximum likelihood estimates for the mixed A.O.V. model using the W transformation. Technometrics, 15, 819-831.
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HEMMERLWE., J. and LORENSJ,. 0. (1976). Improved algorithm for the W-transform in variance component estimation. Technometrics,18,207-212.
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Howe, W. G. (1955). Some contributions to factor analysis. Report ORNL 1919, Oak Ridge National Laboratory.
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Harvard University. (1976). Nonparametric maximum-likelihood estimation of a distribution function with mixtures of distributions. Technical Report S-47, NS-338, Dept of Statistics, Harvard University.
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LAWLEYD,. N. and MAXWELLA,. E. (1971). Factor Analysis as a Statistical Method (2nd edn). London:
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Butterworth. LITTLER,.J.A.(1974).Missing values in multi variate statistical analysis.Ph.D.Thesis,University of London.
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MCCLACHLAGN., J. (1975). Iterative reclassification procedure for constructing an asymptotically optimal rule of allocation in discriminant analysis. J. Amer. Statist. Ass., 70, 365-369.
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MORGANB,. J. T. and TITTERINGTODN., M. (1977). A comparison of iterative methods for obtaining maximum-likelihood estimates in contingency tables with a missing diagonal. Biometrika, 64, (in press). 
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PEARCES,. C. (1965). Biological Statistics: an Introduction. New York: McGraw-Hill.
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PETERSOAN., V. (1975). Nonparametric estimation in the competing risks problem. Ph.D. Thesis, StanfordUniversity. 
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PREECED,.A.(1971).Iter ative procedures for missing values in experiments.Technometrics,13,743-753. 
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RAO,C. R. (1955). Estimation and tests of significancein factor analysis. Psychometrika, 20, 93. RUBIND,.R.(1972).
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Anon-iterative algorithm for least squares estimation of missing values in anyanalysis of variance design. Appl. Statist., 21, 136-141.

# 参考資料(References)
Data Scientist の基礎(2)
https://qiita.com/kaizen_nagoya/items/8b2f27353a9980bf445c

岩波数学辞典　二つの版がCDに入ってお得
https://qiita.com/kaizen_nagoya/items/1210940fe2121423d777

岩波数学辞典
https://qiita.com/kaizen_nagoya/items/b37bfd303658cb5ee11e

アンの部屋（人名から学ぶ数学：岩波数学辞典）英語(24)
https://qiita.com/kaizen_nagoya/items/e02cbe23b96d5fb96aa1



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