Rényi information measure for a used item

Nanda, Asok K.; Maiti, Sudhansu S.

doi:10.1016/j.ins.2007.03.026

Cited by 14 publications

(8 citation statements)

References 24 publications

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“…The concept of entropy has been generalized in a number of different ways by different researchers [32] since the pioneering work of Shannon, ranging from communication, statistical mechanics, decision theory, and pattern recognition problems. In these disciplines, it is applied as a measure of disorder, unevenness of distribution, the degree of dependency, or complexity [33].…”

Section: Concept and Properties Of Information Entropymentioning

confidence: 99%

Spectral entropy: A complementary index for rolling element bearing performance degradation assessment

Pan

Chen

Li³

2008

Proceedings of the Institution of Mechanical Engineers, Part C:

129

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Performance degradation assessment has been proposed to realize equipment's near-zero downtime and maximum productivity. Exploring effective indices is crucial for it. In this study, rolling element bearing has been taken as a research object, spectral entropy is proposed to be as a complementary index for its performance degradation assessment, and its accelerated life test has been performed to collect vibration data over a whole lifetime (normal-fault-failure). Results of both simulation and experiment show that spectral entropy is an effective complementary index.

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Section: Concept and Properties Of Information Entropymentioning

confidence: 99%

Spectral entropy: A complementary index for rolling element bearing performance degradation assessment

Pan

Chen

Li³

2008

Proceedings of the Institution of Mechanical Engineers, Part C:

129

View full text Add to dashboard Cite

show abstract

“…In this case, the above measure may be of use. Measure of tail heaviness for probability distributions based on Rényi entropy of used items has been studied in Nanda and Maiti (2007).…”

Section: Applicationsmentioning

confidence: 99%

Shannon's Entropy and Its Generalisations Towards Statistical Inference in Last Seven Decades

Nanda

Chowdhury

2020

Int Statistical Rev

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Summary Starting from the pioneering works of Shannon and Weiner in 1948, a plethora of works have been reported on entropy in different directions. Entropy‐related review work in the direction of statistical inference, to the best of our knowledge, has not been reported so far. Here, we have tried to collect all possible works in this direction during the last seven decades so that people interested in entropy, specially the new researchers, get benefited.

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“…Therefore, Abraham and Sankaran [3] defined residual Rényi entropy (RRE) as where

. Findings of Rényi’s entropy for residual lifetime have been elaborated in literature such as Nanda and Maiti [4] , Nanda and Paul [5] and so on. For ordered R.V.’s, Zarezadeh and Asadi [6] investigated the features of RRE of ordered variables.…”

Section: Introductionmentioning

confidence: 99%

Some new findings on the survival Rényi entropy and application of COVID-19 data

2021

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Rényi information measure for a used item

Cited by 14 publications

References 24 publications

Spectral entropy: A complementary index for rolling element bearing performance degradation assessment

Spectral entropy: A complementary index for rolling element bearing performance degradation assessment

Shannon's Entropy and Its Generalisations Towards Statistical Inference in Last Seven Decades

Some new findings on the survival Rényi entropy and application of COVID-19 data

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