Empirical Cumulative Distribution Function, its Inaccuracy and
Probability Plotting (text + program code, 2004). This article
covers the theory of the ecdf and
its transformation to make it
suitable for probability plots. It appears, there are theoretically
unjustified plotting position formulas in wide usage. However, while
the widely used plotting position formulas give only one position
per observation, the theory of order statistics reveals that the
whole inaccuracy information related to the plotting positions can
be presented by transformed beta distributions. The included program
code can be used to draw the ecdf, normal quantile-quantile plots and
Gumbel (return level) plots so that this inaccuracy information is
presented. An animated example from the appendix is shown here: 100 x 30 Monte Carlo generated
Gumbel(50,20) variates with median and confidence interval
cumulative probability and corresponding return period.
- Solantie R. & Uusitalo K. (2000): Patoturvallisuuden
mitoitussadannat. Suomen suurimpien 1, 5 ja 14 vrk:n piste- ja
aluesadantojen analysointi vuodet 1959-1998 kattavasta aineistosta.
(Design precipitation for dam safety in Finland: An analysis of the
largest 1-, 5- and 14-day point and areal precipitation totals during
1959-1998). Finnish Meteorological Institute. Reports 2000:3, 77 pp.
Metsänraja ja holoseenikauden ilmastokehitys Pohjois-Fennoskandiassa. (Forest line and climatic variations in northern Fennoscandia during Holocene). Helsingin yliopiston maantieteen laitoksen tutkimusretkiraportteja 41, 2005, pp. 18-31 (Seminar report for a university course in Finnish). Despite the title (which has been abbreviated by the serial editors), this paper covers in addition to the Holocene developments also the current state as I saw it during our expedition in northern Fennoscandia in late summer 2004.
Männistö S., Uusitalo K., Roos E., Fogelholm M. & Pietinen P. (1997): Alcohol beverage drinking, diet and body mass index in a cross-sectional survey. European Journal of Clinical Nutrition vol. 51, n:o 5, pp. 326-332. (My contribution to this paper was on the statistical analyses - covariance analysis, adjusted means).
A Shortwave Loop Antenna and its Enhancement by Positive Feedback. From this experiment I learned that positive (regenerative) feedback can cause a very huge signal amplification. This is something I wish all bureaucrats in their offices would ponder very deeply, because this has implications on how our society and organisations should work to be economically effective.
Contact: uusitalo at iki fi. Please do not publish my contact information without my consent. Web pages: The relocation address http://www.iki.fi/uusitalo/ points to this page and it will most probably remain valid even in case the actual location of this page happened to change. My coordinates: I live in Helsinki, Finland.