Kurtosis - an overview | ScienceDirect Topics
Kurtosis is a descriptive statistic used to help measure how data disperse between a distribution's center and tails, with larger values indicating a data distribution may have “heavy” tails that are thickly concentrated with observations or that are long with extreme observations. A distribution's kurtosis can be calculated using different ...
Kurtosis - an overview | ScienceDirect Topics
where k is kurtosis, µ is the average of data and σ is the standard deviation, and n is the amount of data. The user should be aware that kurtosis must not be confused with peakedness. “A distribution can be infinitely peaked with low kurtosis, and a distribution can be perfectly flat-topped with infinite kurtosis.
Kurtosis - an overview | ScienceDirect Topics
Kurtosis (or, more accurately, the excess kurtosis) is a mathematical term that measures how much a distribution deviates from being Gaussian. Kurtosis can be measured directly from an estimated displacement function, though another way to estimate it that requires fewer measurements is to deconstruct the signal from multiple b-values and ...
Kurtosis - an overview | ScienceDirect Topics
2010年2月6日 · Kurtosis is the degree of peakedness of a distribution, usually taken relative to a normal distribution. A distribution having a relatively high peak such as the curve of Fig. 3.2(a) is called leptokurtic, while the curve of Fig. 3.2(b), which is flat-topped, is called platykurtic.
Maximum L-Kurtosis deconvolution and frequency-domain …
23 小时之前 · Aiming at solving the limitation, a novel maximum L-Kurtosis deconvolution (MLKD) algorithm is proposed. Firstly, the L-Kurtosis is introduced, and the results show that it remains approximately unchanged for different outliers. This characteristic of the L-Kurtosis is the keystone for the proposed deconvolution algorithm.
Kurtosis - an overview | ScienceDirect Topics
A kurtosis of zero is obtained for scores from a normal distribution (since we subtract the value of 3 in the kurtosis formula). A negative kurtosis corresponds to a platykurtic, or wide, distribution with more extreme scores than expected in the normal. Such a distribution would be wider and thicker in the tails.
Detecting and displaying size bimodality: Kurtosis, skewness and ...
1992年9月7日 · Kurtosis of log-transformed data might then be an index of distribution bimodalizability, provided their skewness is close to zero. Ford (1975) and Rabinowitz (1979) used kurtosis in such a manner: showing the non-significance of g~ of transformed data (approximately symmetric distribution) they quantified bimodality with the g2 coefficient.
Study of the amplitude modulation method for kurtosis control …
2022年11月1日 · The kurtosis variation with the respect to the parameter α based on Eq. (12) is shown in Fig. 3. Then, the time interval L is set to 0, the values of the offset b of Eq. (12) are 0, 0.1 and 0.2. The kurtosis curves of the three situations are shown in Fig. 4. From Fig. 3, we can see that the increase of the time interval L will escalate the ...
Method using L-kurtosis and enhanced clustering-based …
2021年1月15日 · Kurtosis is a fourth-order moment that can be efficiently used in fault detection. A high kurtosis value indicates the high impulsive component of a signal with higher sharpness in the signal intensity distribution. Dyer and Stewart introduced kurtosis into the faults detection of rolling bearing in 1977 [14].
L-Kurtosis and its application for fault detection of rolling element ...
2018年2月1日 · L-kurtosis is a fourth-order L-moment, which is similar to kurtosis and easy to recognize the impulse but is not like kurtosis to be sensitive to the outliers. This paper introduces the definition, properties of L-kurtosis and analyzes …