Characterizations of Probability Distribution by Some Sequential Relative Reliability Measures: An Application of Completeness in a Hilbert Space by Mansour Shrahili, Mohamed Kayid

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BEARING DEGRADATION STATE IDENTIFICATION OF LCD-HILBERT RELATIVE SPECTRUM ENTROPY by CHEN HuiHong

“…In order to better identification the degradation state of bearing, a degradation state feature extraction method for bearing named LCD-Hilbert relative spectrum entropy is proposed based on relative entropy for characterizing the probability distribution difference among different signals. …”
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HHT RELATIVE SPECTRUM ENTROPY AND ITS APPLICATION IN DEGRADATION STATE IDENTIFICATION OF BEARING by QIN DengPan

“…A degradation state feature extraction method for bearing named HHT relative spectrum entropy is proposed based on HHT for analyzing non-stationary vibration signal and relative entropy for characterizing the probability distribution difference among different signals. …”
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STUDY ON RELIABILITY DISTRIBUTION MODELS OF FATIGUE LIFE OF ANTI-VIBRATION RUBBER MATERIALS (MT) by WANG XiaoLi, PENG XiaoYang, LIU XiangNan, DUAN XiaoCheng, XU Wei

“…The results showed that 3 PWD was more suitable to characterize the probability distribution of rubber fatigue life. The minimum values of the number of rubber fatigue test samples and the number of working conditions are distributed between 4 and 6. …”
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Tools for the Analysis of Quantum Protocols Requiring State Generation Within a Time Window by Bethany Davies, Thomas Beauchamp, Gayane Vardoyan, Stephanie Wehner

“…Let <inline-formula><tex-math notation="LaTeX">$s$</tex-math></inline-formula> be the number of desired resource states required by a protocol. We characterize the probability distribution <inline-formula><tex-math notation="LaTeX">$X_{(w,s)}$</tex-math></inline-formula> of the ages of the quantum resource states, once <inline-formula><tex-math notation="LaTeX">$s$</tex-math></inline-formula> states have been generated in a window <inline-formula><tex-math notation="LaTeX">$w$</tex-math></inline-formula>. …”
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