Statistical Analysis of Phase-Only Correlation Functions Based on Directional Statistics

2014 ◽  
Vol E97.A (12) ◽  
pp. 2601-2610 ◽  
Author(s):  
Shunsuke YAMAKI ◽  
Masahide ABE ◽  
Masayuki KAWAMATA
Keyword(s):  
Statistical Analysis ◽  
Correlation Functions ◽  
Directional Statistics

Estimation of response slopes in respiratory control using directional statistics

1978 ◽  
Vol 45 (5) ◽  
pp. 823-829 ◽  
Author(s):  
J. A. Daubenspeck ◽  
R. D. Ogden
Keyword(s):  
Statistical Analysis ◽  
Physiological Response ◽  
Respiratory Control ◽  
Directional Data ◽  
Statistical Techniques ◽  
Directional Statistics ◽  
Analysis Techniques ◽  
Straight Line ◽  
Response Slope ◽  
Direct Measurements

The ventilatory sensitivity to alveolar PCO2 and slope of the straight line relating VE to VT are two examples of response slopes of interest in respiratory control. Statistical techniques have not been available to analyze repeated direct estimations of these slopes by paired consideration of initial and final responses to a stimulus. Rather, existing statistical techniques sacrifice much information by describing the response slope as that of the line which, in some sense, best fits the unpaired responses. We have adapted techniques established for the statistical analysis of directional data to analyze direct measurements of these physiological response slopes and have found that the application of these directional techniques can result in better estimation of the ventilatory sensitivity to CO2, for example, than is provided using unpaired analysis techniques.

scholarly journals Statistical parameters of ozone profiles above Moscow and their trends in 1996-2017 by data of radiometer measurements.

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
K.P. Gaikovich ◽  
◽  
E.P. Kropotkina ◽  
S.B. Rozanov ◽  
◽  
...  
Keyword(s):  
Statistical Analysis ◽  
Correlation Functions ◽  
Mixing Ratio ◽  
Statistical Parameters

Results of the statistical analysis of the altitude profiles of the volume ozone mixing ratio retrieved from data of 1996-2017 ground-based radiometer measurements at frequency of 142.2 GHz are presented. From comparison of the data for the 1996-2006 and 2007-2017 decades, statistically significant trends have been revealed in monthly mean ozone profiles and their variations – as well as in corresponding inter-altitude and time covariance and correlation functions. Possible explanations of the revealed trends are given.

scholarly journals Directional Statistics in Solar Potential of Rooftops at Three Different Neighborhoods of a Medium Size City

Proceedings ◽  
2018 ◽  
Vol 2 (20) ◽  
pp. 1275 ◽  
Author(s):  
María-Eugenia Polo ◽  
Mar Pozo ◽  
Elia Quirós
Keyword(s):  
Climate Change ◽  
Statistical Analysis ◽  
Solar Energy ◽  
Urban Areas ◽  
Urban Morphology ◽  
Directional Data ◽  
Medium Size ◽  
Directional Statistics ◽  
Orientation Data

The utilization of solar energy is one of the best effective methods to combat the climate change. The estimation of solar potential in urban areas can vary depending on the urban morphology. This paper performs a directional statistical analysis of the distribution of the monthly solar potential of rooftops in Cáceres city, related to the orientation of the rooftops in different neighborhoods. The orientation values of the roofs will be treated as a directional data and the radiation values as a linear data. The circular graphics representing the orientation data is a suitable representation of the distribution of the buildings being related with the urban framework.

Studies on the Instrumental Factors Determining Errors in the Measurements of Raman Band Profiles. Part II: Effect of the Signal Noise on Vibrational Relaxation Functions and Relaxation Times

1993 ◽  
Vol 47 (8) ◽  
pp. 1234-1236 ◽  
Author(s):  
M. G. Giorgini ◽  
L. Mariani ◽  
A. Morresi ◽  
G. Paliani ◽  
R. S. Cataliotti
Keyword(s):  
Statistical Analysis ◽  
Correlation Functions ◽  
Vibrational Relaxation ◽  
Raman Band ◽  
Relaxation Times ◽  
Photon Counting ◽  
Electronic Noise ◽  
Signal Noise ◽  
Relaxation Functions

A method for the determination of the effect of the signal noise on vibrational correlation functions and relaxation times obtained in stationary spectroscopic measurements is proposed. It rests upon the assumption that electronic noise is mainly due to the photon counting which, for fast electronics, is described by Poisson statistics. The application of this method leads to results expressed as standard deviations which, for correlation functions, appear in very close agreement with the conclusions of statistical analysis, while for the relaxation times the results are lower than those delivered by statistical analysis.

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