Backwards statistical inference method for P–S–N curve fitting with small-sample experiment data

2014 ◽  
Vol 63 ◽  
pp. 62-67 ◽  
Author(s):  
Liyang Xie ◽  
Jianzhong Liu ◽  
Ningxiang Wu ◽  
Wenxue Qian
Keyword(s):  
Statistical Inference ◽  
Curve Fitting ◽  
Small Sample ◽  
Inference Method ◽  
Experiment Data ◽  
Sample Experiment

scholarly journals Statistical Inference Method for Liner Impedance Eduction with a Shear Grazing Flow

AIAA Journal ◽  
2019 ◽  
Vol 57 (3) ◽  
pp. 1055-1065 ◽  
Author(s):  
R. Roncen ◽  
F. Méry ◽  
E. Piot ◽  
F. Simon
Keyword(s):  
Statistical Inference ◽  
Inference Method ◽  
Grazing Flow

scholarly journals Theoretical and experimental study of scour depth by submerged water jet

2016 ◽  
Vol 8 (12) ◽  
pp. 168781401668239 ◽  
Author(s):  
Jiaoyi Hou ◽  
Lishan Zhang ◽  
Yongjun Gong ◽  
Dayong Ning ◽  
Zengmeng Zhang
Keyword(s):  
Mathematical Model ◽  
Experimental Study ◽  
Working Conditions ◽  
Curve Fitting ◽  
Functional Relationship ◽  
Water Jet ◽  
Scour Depth ◽  
Experiment Data ◽  
Fitting Method ◽  
Curve Fitting Method

The characteristics and working principles of the impinging by submerged water jet are analyzed, and the relevant mathematical model is optimized based on Rajaratnam’s theoretical and experimental study. A new mathematical model is constructed by adding an important parameter called impinging angle. A new experiment is designed according to the working conditions of various impinging distances and angles. In combination with the experiment data and with the use of the curve fitting method, the functional relationship between the impinging distance and angle as well as the coefficient C4 is obtained. The experiment results show that the scour depth decreases as impinging distance increases, followed by a trend from decline to rise before falling again; those two turning points occur within the range of 20d–25d. The scour depth constantly increases with rising impinging angle, and the maximum and minimum increasing ranges can reach 180% and 50%, respectively, with the impinging angle increasing from 40° to 90°.

Determination of the fatigue P-S-N curves – A critical review and improved backward statistical inference method

2020 ◽  
Vol 139 ◽  
pp. 105789 ◽  
Author(s):  
Cunhai Li ◽  
Shengchuan Wu ◽  
Jinyuan Zhang ◽  
Liyang Xie ◽  
Yanhui Zhang
Keyword(s):  
Statistical Inference ◽  
Critical Review ◽  
Inference Method

Aspects of Applied Statistics Underemphasized in Electrical Metrology

1978 ◽  
Vol 15 (3) ◽  
pp. 197-201
Author(s):  
K. R. Spriggs
Keyword(s):  
Curve Fitting ◽  
Small Sample ◽  
Applied Statistics ◽  
Academic Emphasis ◽  
Sample Analysis ◽  
Specification Error ◽  
Measurement Analysis ◽  
Practical Measurement

The academic emphasis given to aspects of statistics in electrical metrology is questioned. It is proposed that textbook, and consequently lecture course treatment of statistics falls short in equipping the engineer for practical measurement analysis. Curriculum modifications are suggested whereby practical error specification, error combination techniques, small sample analysis and curve fitting are adopted as objectives.

Research on the Evaluation of Small Sample Reliability for CNC Grinding Machine Tools Based on Bayes Theory

2014 ◽  
Vol 971-973 ◽  
pp. 688-692 ◽  
Author(s):  
Jin Wei Fan ◽  
Zhong Yuan Zhou ◽  
Ze Li Wang ◽  
Wei Miao
Keyword(s):  
Machine Tools ◽  
Small Sample ◽  
Technology Research ◽  
Test Cycle ◽  
Experiment Data ◽  
Bayes Theory ◽  
Machine Reliability ◽  
Cnc Grinding ◽  
Grinding Machine ◽  
Cnc Grinding Machine

Aiming at the limitation by the high cost of test and length cycle process of the CNC grinding machine reliability evaluation, this article adopted small sample technology which needs less data while getting higher evaluation accuracy, by using the theory of Bayes theorem and failure rate as of the random variables, the experiment data of tracking CNC grinding machine for a year is analyzed. Results indicate that results acquired by this mean are consistent with the actual; meanwhile, it shortens test cycle and reduces cost, which is a very effective way to analysis CNC grinding machine. Therefore, it’s very essential that the small sample technology research is applied in the CNC grinding machine evaluation.

Interval estimation of the mean of a normal distribution based on quantized observations

2009 ◽  
Vol 59 (5) ◽  
Author(s):  
Viktor Witkovský ◽  
Gejza Wimmer
Keyword(s):  
Standard Deviation ◽  
Measurement Error ◽  
Normal Distribution ◽  
Statistical Inference ◽  
Interval Estimation ◽  
Small Sample ◽  
Measurement Device ◽  
Analog To Digital ◽  
The Mean ◽  
Interval Estimators

AbstractWe consider the problem of making statistical inference about the mean of a normal distribution based on a random sample of quantized (digitized) observations. This problem arises, for example, in a measurement process with errors drawn from a normal distribution and with a measurement device or process with a known resolution, such as the resolution of an analog-to-digital converter or another digital instrument. In this paper we investigate the effect of quantization on subsequent statistical inference about the true mean. If the standard deviation of the measurement error is large with respect to the resolution of the indicating measurement device, the effect of quantization (digitization) diminishes and standard statistical inference is still valid. Hence, in this paper we consider situations where the standard deviation of the measurement error is relatively small. By Monte Carlo simulations we compare small sample properties of the interval estimators of the mean based on standard approach (i.e. by ignoring the fact that the measurements have been quantized) with some recently suggested methods, including the interval estimators based on maximum likelihood approach and the fiducial approach. The paper extends the original study by Hannig et al. (2007).

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