Density estimate and its application to analysis of temperature series

Environmetrics

Volumn 14, Issue 1, 2003, Pages 87-102

  Horová, Ivana ^a   Zelinka, Jiří ^a   Brázdil, Rudolf ^a   Budíková, Marie ^a  

^a MASARYK UNIVERSITY   (Czech Republic)

Author keywords

Air temperature; Central England; Kernel estimate; Prague Klementinum; Visualization

Indexed keywords

AIR TEMPERATURE; GRAPHICAL METHOD; NUMERICAL METHOD; PROBABILITY DENSITY FUNCTION;

UNITED KINGDOM;

EID: 0037317493     PISSN: 11804009     EISSN: None     Source Type: Journal    
DOI: 10.1002/env.567     Document Type: Article

References (34)

1. Auer I, Böhm R, Schöner W. 2001a. Austrian long-term climate 1767-2000. Österreichische Beiträge zu Meteorologie und Geophysik 25: 1-146.
2. Auer I, Böhm R, Schöner W. 2001b. 'Long climate series from Austria'. In History and Climate. Memories of the Future?, Jones PD, Ogilvie AEJ, Davies TD, Briffa KR (eds). Kluwer Academic/Plenum Publishers, 125-151.
3. Brázdil R. 1993. The homogeneity of air temperature measurements Prague-Klementinum with respect to the intensification of the urban heat island. Zeszyty Naukowe Uniwersytetu Jagiellońskiego - Prace Geograficzne 95: 151-162.
4. Brázdil R. 1996. Reconstructions of past climate from historical sources in the Czech Lands. In Climatic Variations and Forcing Mechanisms of the Last 2000 Years, Jones PD, Bradley RS, Jouzel J (eds). Springer, 409-431.
5. Brázdil R, Budíková M. 1999. An urban bias on air temperature fluctuations at the Klementinum, Prague, The Czech Republic. Atmospheric Environment 33: 4211-4217.
6. Brázdil R, Dobrovolný P. 1993. The utilisation of long temperature series for studying climatic fluctuations in central Europe. Zeszyty Naukowe Uniwersytetu Jagiellońskiego - Prace Geograficzne 95: 151-162.
7. Brázdil R, Písek J, Luterbacher J, Tolasz R, Květoň V. 2001. Fluctuations of extremely cold and warm months in the Czech Republic during the period of instrumental records and their relation to the atmospheric circulation. Österreichische Beiträge zu Meteorologie und Geophysik 27, Wien (CD-ROM).
8. Brázdil R, Štěpǎnek E 1998. Kolísání teploty vzduchu v Brně v období 1891-1995. Geografie - Sborník České geografické společnosti 103: 13-30.
9. Chaudhuri P, Marron JS. 2000. Scale space view of curve estimation. The Annals of Statistics 28: 408-428.
10. Datsenko NM, Novotná D, Sonechkin DM. 1998. An analysis of the 200-year climate change based on air temperature observations in Prague-Klementinum. Meterologija i gidrologija 4: 33-43 (in Russian).
11. Devroye L. 1987. A Course on Density Estimation. Birkhauser.
12. Devroye L. 1997. Universal smoothing factor selection in density estimation: theory and practice. Test 6: 223-320.
13. 1 View. Wiley: New York.
14. Granovsky BL, Müller HG. 1991. Optimizing kernel methods: a unifying variational principle. International Statistical Review 59: 378-388.
15. Granovsky BL, Müller HG, Pfeifer C. 1995. Some remarks of optimal kernel functions. Statistics & Decision 13: 101-116.
16. Härdle W, Müller M, Sperlich S, Werwitz A. 1999. Non- and semiparametric modelling. Humboldt-Universitäat zu Berlin.
17. Hlaváč V. 1966. Jak se jeví kolísání klimatu za posledních dvě stě roků v pražské teplotní řadě. Meteorologické zprávy 19: 33-42.
18. Horová I. 1995. Gegenbauer polynomials, optimal kernels and Stancu operators. Approximation Theory and Function Series. Bolyai Society Matematical Studies 5: 227-235.
19. Horová I, Vieu P, Zelinka J. 2002. Optimal choice of nonparametric estimates of a density and of its derivatives. To appear in Star. & Decision (In print).
20. Horová I, Zelinka J. 2002. A note on maximal smoothing principle. Preprint.
21. Houghton JT, Ding Y, Griggs DJ, Noguer M, van der Linden PJ, Xiaosu D (eds). 2001. Climate Change 2001: The Scientific Basis. University Press: Cambridge.
22. Houghton JT, Meira Filho LG, Callander BA, Harris N, Kattenberg A, Maskell K (eds). 1996. Climate Change 1995. The Science of Climate Change. University Press: Cambridge.
23. Jones PD. 2001. Early European instrumental records. In History and Climate: Memories of the Future?, Jones PD, Ogilvie AEJ, Davies TD, Briffa KR (eds). Kluwer Academic/Plenum Publishers, 55-77.
24. Jones PD, Hulme M. 1997. The changing temperature of central England. In Climates of the British Isles: Present, Past and Future, Hulme M, Barrow E (eds). Routledge, 36-57.
25. Manley G. 1974. Central England temperatures: monthly means 1659 to 1973. Quarterly Journal of the Royal Meteorological Society 100: 389-405.
26. Nychka D. 1991. Choosing a range for amount of smoothing in nonparametric regression. Journal of the American Statistical Association 86(415): 653-664.
27. Parker DE, Legg TP, Folland CK. 1992. A new daily Central England temperature series 1772-1991. International Journal of Climatology 12: 317-342.
28. Scott DW. 1992. Multivariate Density Estimation: Theory, Practice and Visualization. Wiley: New York.
29. Silverman BW. 1986. Density Estimation for Statistics and Data Analysis. Chapman & Hall: London.
30. Terrell GR. 1990. The maximal smoothing principle in density estimation. Journal of the American Statistical Association 85: 470-477.
31. Terrell GR, Scott DE. 1985. Oversmoothed nonparametric density estimations. Journal of the American Statistical Association 80: 209-214.
32. Vieu P. 1999. Multiple kernel procedure: an asymptotic support. Scand. J. Statist. 26: 61-72.
33. Wand MP, Devroye L. 1993. How easy is a given density to estimate. Computational Statistics & Data Analysis 16: 311-323.
34. Wand MP, Jones C. 1995. Kernel Smoothing. Chapman & Hall: London.