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R3 on "W.a.t.m.i. statistical ideas of the past 50 years? " Andrew Gelman, Aki Vehtari(19)

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R3(References on References on References) on "What are the most important statistical ideas of the past 50 years? " Andrew Gelman, Aki Vehtari(19)

R3 on "What are the most important statistical ideas of the past 50 years? " Andrew Gelman, Aki Vehtari(0)
https://qiita.com/kaizen_nagoya/items/a8eac9afbf16d2188901

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

References

19

Brillinger, D. R. (1981). Time Series: Data Analysis and Theory, expanded edition. San Francisco: Holden-Day.

https://epubs.siam.org/doi/book/10.1137/1.9780898719246
https://epubs.siam.org/doi/pdf/10.1137/1.9780898719246.bm

REFERENCES on 19

[1] G. G. Stokes, "Note on searching for periodicities," Proc. Roy. Soc., vol. 29, p. 122, 1879.
(2) A. Schuster, "The periodogram of magnetic declination," Cam- bridge Phil. Soc., vol. 18, p. 18, 1899.
[3] E. T. Whittaker and A. Robinson, The Calculus of Observations. Cambridge, England: Cambridge Univ. Press, 1944.
[4( J. W. Cooley and J. W. Tukey, "An algorithm for the machine calculation of complex Fourier series," Math. Comput., vol. 19, pp. 297-301, 1965.
[5) A. A. Michelson, Light Waves and Their Uses. Chicago, Ill.: Univ. Chicago Press, 1907.
[ 6] I. Newton, Opticks. London, England: W. Innys, 1730.
17 J M. I. Pupin, "Resonance analysis of alternating and polyphase
currents," Trans. AIEE, vol. 9, p. 523, 1894.
[8] H. L. Moore, Economic Cycles Their Law and Cause. New York:
Macmillan, 1914.
[9] H. A. Panofsky and R. A. McCormick, "Properties of spectra of
atmospheric turbulence at 100 metres," Quart. J. Roy. Meteorol.
Soc., vol. 80, pp. 546-564, 1954.
[10] J. A. Leese and E. S. Epstein, "Application of two-dimensional
spectral analysis to the quantification of satelite cloud photo-
graphs," J. Appl. Meteorol., vol. 2, pp. 629-644, 1963.
(11) M. S. Bartlett, "The spectral analysis of point processes," J. Roy.
Stat. Soc., vol. B 25, pp. 264-296, 1963.
[12 ] —, "The spectral analysis of two dimensional point processes,"
[13)
[14)
Biometrika, vol. 51, pp. 299-311, 1964.
A. V. Oppenheim, R. W. Schafer, and T. G. Stockham, Jr., "Non- linear filtering of multiplied and convolved signals," Proc. IEEE, vol. 56, pp. 1264-1291, 1968.
B. P. Bogert, M. J. Healey, and J. W. Tukey, "The quefrency alanysis of time series for echoes: cepstrum, pseudo-covariance, cross-cepstrum and saphe cracking," in Time Series Analysis, M. Rosenblatt, Ed. New York: Wiley, pp. 209-243, 1963.
[15] M. S. Bartlett, "Periodogram analysis and continuous spectra," Biometrika, vol. 37, pp. 1-16, 1950.
1161 R. H. Jones, "A reappraisal of the periodogram in spectral analy- sis," Technometrics, vol. 7, pp. 531-542, 1965.
[17 J K. Hasselman, W. Munk, and G. J. F. MacDonald, "Bispectra of ocean waves," in Time Series Analysis, M. Rosenblatt, Ed. New York: Wiley, pp. 125-139, 1963.
[18] N. Wiener, "Generalized harmonic analysis," Acta Math., vol. 55, pp. 117-258, 1930.
(191 H. Wold, Bibliography on Time Series and Stochastic Processes. London, England: Oliver and Boyd, 1965.
(20J D. R. Brillinger, Time Series: Data Analysis and Theory. New York: Holt, Rinehart and Winston, 1974.
1211 A. Ya. Khintchine, "Korrelationstheories der stationiren sto- chastischen Prozesse," Math. Ann., vol. 109, pp. 604-615, 1934. [221 H. Cramer, "On harmonic analysis in certain functional spaces,"
Ark. Mat. Astron. Fys., vol. 28B, pp. 1-7, 1942.
(23] V. P. Leonov and A. N. Shiryaev, "Some problems in the spectral theory of higher moments, II," Theory Prob. Appl. (USSR), vol.
5, pp. 460-464, 1960.
[24) B. Picinbono, "Tendence vers le caractere Gaussien par filtrage
selectif," C. R. Acad. Set Paris, vol. 248, p. 2280, 1959.
[25] M. Rosenblatt, "Some comments on narrow band-pass filters,"
Quart. Appl. Math., vol. 18, pp. 387-393, 1961.
[26] D. R. Brillinger, "The frequency analysis of relations between stationary spatial series," in Proc. 12th Biennial Seminar of the Canadian Math. Congress, R. Pyke, Ed. Montreal, P.Q., Canada:
Can. Math. Congr., pp. 39-81, 1970.
[27 ] E. J. Hannan and P. J. Thomson, "Spectral inference over narrow
Downloaded 10/02/21 to 118.106.202.187 Redistribution subject to SIAM license or copyright; see https://epubs.siam.org/page/terms
538 ADDENDUM
bands," J. Appl. Prob., vol. 8, pp. 157-169, 1971.
[28] E. Parzen, "On consistent estimates of the spectrum of stationary
time series," Ann. Math. Statist., vol. 28, pp. 329-348, 1957. (291 M. Rosenblatt, "Statistical analysis of stochastic processes with stationary residuals," in Probability and Statistics, U. Grenander,
Ed. New York: Wiley, pp. 246-275, 1959.
[301 W. D. Wright, The Measurement of Color. New York: Macmillan.
1958.
[31] E. W. Carpenter, "Explosions seismology," Science, vol. 147,
pp. 363-373, 1967.
(321 D. G. Lambert, E. A. Flinn, and C. B. Archambeau, "A com-
parative study of the elastic wave radiation from earthquakes and underground explosions," Geophys. J. Roy. Astron. Soc., vol. 29, pp. 403-432, 1972.
[331 W. H. Munk and G. J. F. MacDonald, Rotation of the Earth. Cambridge, England: Cambridge Univ. Press, 1960.
[34] G. J. F. MacDonald and N. Ness, "A study of the free oscillations of the Earth," J. Geophys Res., vol. 66, pp. 1865-1911, 1961.
[35) R. L. Wegel and C. R. Moore, "An electrical frequency analyzer," Bell Syst. Tech. J., vol. 3, pp. 299-323, 1924.
[ 361 N. Wiener, Time Series. Cambridge, Mass.: M.I.T. Press, 1964. [37] U. Grenander and M. Rosenblatt, Statistical Analysis of Sta-
tionary Time Series. New York: Wiley, 1957.
(38) E. Parzen, "An approach to empirical time series analysis,"
Radio Sci., vol. 68 D, pp. 551-565, 1964.
(39) R. T. Lacoss, "Data adaptive spectral analysis methods," Geo-
physics, vol. 36, pp. 661-675, 1971.
(40) J. P. Burg, "The relationship between maximum entropy spectra
[41] [42]
and maximum likelihood spectra," Geophysics, vol. 37, pp. 375-376, 1972.
K. N. Berk, "Consistent autoregressive spectral estimates," Ann. Stat., vol. 2, pp. 489-502, 1974.
V. E. Pisarenko, "On the estimation of spectra by means of non- linear functions of the covariance matrix," Geophys. J. Roy. Astron. Soc., vol. 28, pp. 511-531, 1972.
[43] J. Capon, "Investigation of long-period noise at the large aperture seismic array," J. Geophys. Res., vol. 74, pp. 3182-3194, 1969.
[441 E. J. Hannan, Multiple Time Series. New York: Wiley, 1970.
[45] T. W. Anderson, The Statistical Analysis of Time Series. New
York: Wiley, 1971.
[46] P. Whittle, "Estimation and information in stationary time
series," Ark. Mat. Astron. Fys, vol. 2, pp. 423-434, 1953.
[471 J. M. Chambers, "Fitting nonlinear models: numerical tech-
niques," Biometrika, vol. 60, pp. 1-14, 1973.
[481 D. R. Brillinger, "An empirical investigation of the Chandler
wobble and two proposed excitation processes," Bull. Int. Stat.
Inst., vol. 39, pp. 413-434, 1973.
[49) P. Whittle, "Gaussian estimation in stationary time series," Bull.
Int. Stat. Inst., vol. 33, pp. 105-130, 1961.
[501 A. M. Walker, "Asymptotic properties of least-squares estimates
(51)
(52)
of parameters of the spectrum of a stationary nondeterministic time-series," J. Australian Math. Soc., vol. 4, pp. 363-384, 1964. K. 0. Dzaparidze, "A new method in estimating spectrum pa- rameters of a stationary regular time series," Teor. Veroyat. Ee Primen., vol. 19, p. 130, 1974.
L. H. Koopmans, "On the coefficient of coherence for weakly stationary stochastic processes," Ann. Math. Stat., vol. 35, pp. 532-549, 1964.
[53] H. Akaike and Y. Yamanouchi, "On the statistical estimation of frequency response function," Ann. Inst. Stat. Math., vol. 14, pp. 23-56, 1962.
[54 L. J. Tick, "Estimation of coherency," in Advanced Seminar on Spectral Analysis of Time Series, B. Harris, Ed. New York: Wiley, 1967, pp. 133-152.
Downloaded 10/02/21 to 118.106.202.187 Redistribution subject to SIAM license or copyright; see https://epubs.siam.org/page/terms

FOURIER ANALYSIS OF STATIONARY PROCESSES 539
(55) R. J. Bhansali, "Estimation of the Wiener filter," in Contributed Papers 39th Session Int. Stat. Inst., vol. 1, pp. 82-88, 1973.
[56]
[57]
A. E. Hoerl and R. W. Kennard, "Ridge regression: biased estima- tion for nonorthogonal problems," Technometrics, vol. 12, pp. 55-67, 1970.
B. R. Hunt, "Biased estimation for nonparametric identification of linear systems," Math. Biosci., vol. 10, pp. 215-237, 1971.
[58] S. Bochner and K. Chandrasekharan, Fourier Transforms. Princeton, N.J.: Princeton Univ. Press, 1949.
[59 ] J. Mannos, "A class of fidelity criteria for the encoding of visual images," Ph.D. dissertation, Univ. California, Berkeley, 1972.
[60] L. J. Tick, "Conditional spectra, linear systems and coherency," in Time Series Analysis, M. Rosenblatt, Ed. New York: Wiley, pp. 197-203, 1963.
(611 C. W. J. Granger, Spectral Analysis of Economic Time Series. Princeton, N.J.: Princeton Univ. Press, 1964.
[62]
[63] [64] [65] [66]
[67]
N. R. Goodman, "Measurement of matrix frequency response functions and multiple coherence functions," Air Force Dynamics Lab., Wright Patterson AFB, Ohio, Tech. Rep. AFFDL-TR-65-56, 1965.
J. S. Bendat and A. Piersol, Measurement and Analysis of Random Data. New York: Wiley, 1966.
G. W. Groves and E. J. Hannan, "Time series regression of sea level on weather," Rev. Geophys., vol. 6, pp. 129-174, 1968.
W. Gersch, "Causality or driving in electrophysiological signal analysis," J. Math. Biosci., vol. 14, pp. 177-196, 1972.
N. R. Goodman, "Eigenvalues and eigenvectors of spectral density matrices," Tech. Rep. 179, Seismic Data Lab., Teledyne, Inc., 1967.
D. R. Brillinger, "The canonical analysis of time series," in Multi- variate Analysis—II, P. R. Krishnaiah, Ed. New York: Academic, pp. 331-350, 1970.
[68] M. B. Priestley, T. Subba Rao, and H. Tong, "Identification of the structure of multivariable stochastic systems," in Multivariate Analysis—III, P. R. Krishnaiah, Ed. New York: Academic, pp. 351-368, 1973.
(69]
[70]
[71]
[72]
[73)
[74)
M. Miyata, "Complex generalization of canonical correlation and its application to a sea-level study," J. Marine Rea, vol. 28, pp. 202-214,1970.
W. S. Ligett, Jr., "Passive sonar: Fitting models to multiple time series," paper presented at NATO Advanced Study Institute on Signal Processing, Loughborough, U. K., 1972.
D. R. Brillinger, "The analysis of time series collected in an ex- perimental design," Multivariate Analysis—III, P. R. Krishnaiah, Ed. New York: Academic, pp. 241-256, 1973.
D. R. Brillinger and M. Hatanaka, "An harmonic analysis of non- stationary multivariate economic processes," Econometrics, vol. 35, pp. 131-141, 1969.
E. J. Hannan and R. D. Terrell, "Multiple equation systems with stationary errors," Econometrica, vol. 41, pp. 299-320, 1973.
C. R. Rao, Linear Statistical Inference and its Applications. New York: Wiley, 1965.
(75) D. R. Cox and P. A. W. Lewis, The Statistical Analysis of Series
of Events. London, England: Methuen, 1966.
[76] D. R. Brillinger, "The spectral analysis of stationary interval func-
tions," Proc. 6th Berkeley Symp. Math. Stat. Prob. Vol. 1, L. M. Le Cam, J. Neyman, and E. L. Scott, Eds. Berkeley, Calif.: Univ. California Press, pp. 483-513, 1972.
[77] D. J. Daley and D. Vere-Jones, "A summary of the theory of point processes," in Stochastic Point Processes, P. A. W. Lewis, Ed. New York: Wiley, pp. 299-383, 1972.
[78) L. Fisher, "A survey of the mathematical theory of multidimen- sional point processes," in Stochastic Point Processes, P. A. W. Lewis, Ed. New York: Wiley, pp. 468-513, 1972.
Downloaded 10/02/21 to 118.106.202.187 Redistribution subject to SIAM license or copyright; see https://epubs.siam.org/page/terms

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