Kernel and CDF-Based Estimation of Extropy and Entropy from Progressively Type-II Censoring with Application for Goodness of Fit Problems
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Rajaa Hazeb
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Mohammad Z. Raqab
Abstract
Recently, entropy and extropy-based tests for the uniform distribution have attracted the attention of some researchers. This paper proposes nonparametric entropy and extropy estimators based on progressive type-II censoring and investigates their properties and behavior. Performance of the proposed estimators is studied via simulations. Entropy and extropy-based goodness-of-fit tests for uniformity are developed by the well performed estimators. The powers of the proposed uniformity tests are compared also via simulations assuming various alternatives and censoring schemes.
Acknowledgements
The authors would like to thank the editor, the associate editor and the referee for their valuable comments that improved this article. This work is a part of the PhD thesis of Rajaa Hazeb under the supervision of Professor Mohammad Raqab of The University of Jordan and Dr. Husam Bayoud of Fahad bin Sultan University.
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Hedging the Risk of Wind Power Production Using Dispatchable Energy Source
- Approximating the Normal Sample Median Distribution in Process Control
- BSDEs with Logarithmic Growth Driven by Brownian Motion and Poisson Random Measure and Connection to Stochastic Control Problem
- Relation Between Cumulative Residual Entropy and Excess Wealth Transform with Applications to Reliability and Risk
- Failure Extropy, Dynamic Failure Extropy and Their Weighted Versions
- Kernel and CDF-Based Estimation of Extropy and Entropy from Progressively Type-II Censoring with Application for Goodness of Fit Problems
Artikel in diesem Heft
- Frontmatter
- Hedging the Risk of Wind Power Production Using Dispatchable Energy Source
- Approximating the Normal Sample Median Distribution in Process Control
- BSDEs with Logarithmic Growth Driven by Brownian Motion and Poisson Random Measure and Connection to Stochastic Control Problem
- Relation Between Cumulative Residual Entropy and Excess Wealth Transform with Applications to Reliability and Risk
- Failure Extropy, Dynamic Failure Extropy and Their Weighted Versions
- Kernel and CDF-Based Estimation of Extropy and Entropy from Progressively Type-II Censoring with Application for Goodness of Fit Problems
