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2024 | 25 | nr 3 | 83--102
Tytuł artykułu

Extropy and Entropy Estimation Based on Progressive Type-I Interval Censoring

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper proposes nonparametric estimates for the two information measures extropy and entropy when a progressively Type-I interval censored data is available. Different nonparametric approaches are used for deriving the estimates, including: moments of the empirical cumulative distribution function and linear regression. The performance of the proposed estimates is studied under various censoring schemes via simulation studies. Furthermore, different real data sets are analyzed for illustrative purposes.The estimates based on linear approximation J^2 and H^2 outperform the other estimate in the majority of studied cases. (original abstract)
Rocznik
Tom
25
Numer
Strony
83--102
Opis fizyczny
Twórcy
  • The University of Jordan, Jordan
  • Fahad Bin Sultan University, Tabuk, Saudi Arabia
  • The University of Jordan, Jordan
Bibliografia
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  • Awad, A. M. and Alawneh, A., (1987). Application of entropy of a life time model. IMA J. Math. Control Inf., 4, pp. 143-147.
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  • Du Y., Guo Y. and Gui W., (2018). Statistical Inference for the Information Entropy of the Log-Logistic Distribution under Progressive Type-I Interval Censoring Schemes. Symmetry, 10, p. 445.
  • Hazeb, R., Raqab, M. and Bayoud, H., (2021a). Non-parametric estimation of the extropy and the entropy measures based on progressive type-II censored data with testing uniformity. Journal of Statistical Computation and Simulation, 91 (11), pp. 2178-2210.
  • Hazeb, R., Bayoud, H. and Raqab, M., (2021b). Kernel and CDF-Based Estimation of Extropy and Entropy from Progressively Type-II Censoring with Application for Goodness of Fit Problems. Stochastic and Quality Control, 36 (1), pp. 73-83.
  • Kittaneh, O. A., Khan, M. A., Akbar, M., and Bayoud, H. A. (2016). Average entropy: a new uncertainty measure with application to image segmentation. The American Statistician, 70 (1), pp. 18-24.
  • Lad, F., Sanfilippo, G. and Agro, G., (2015). Extropy: Complementary Dual of Entropy. Statistical Science, 30, pp. 40-58.
  • Lio, YL., Chen, D. G. and Tasi, T. R., (2011). Parameter estimations for generalized exponential distribution under progressive type-I interval censoring.Comput. Stat. Data Anal., 54, pp. 1581-1591.
  • Nelson, W., (1982). Applied Life Data Analysis, Wiley, New York.
  • Ng, H. K. T., Wang, Z., (2009). Statistical estimation for the parameters of Weibulldistribution based on progressively Type-I interval censored sample.J.Stat.Comput.Simulat, 79(2), pp. 145-159.
  • Noughabi, H. A., Jarrahiferiz, J., (2019). On the estimation of extropy. Journal of Nonparametric Statistics, 31(1), pp. 88-99, DOI: 10.1080/10485252.2018.1533133.
  • Qiu, G., (2017). The Extropy of Order Statistics and Record values. Statistics and Probability Letters, 120, pp. 52-60.
  • Qiu, G. and Jia, K., (2018a). The Residual Extropy of Order statistics. Statistics and Probability Letters, 133, pp. 15-22.
  • Qiu, G. and Jia, K., (2018b). Extropy Estimators with Applications in Testing Uniformity. Journal of Nonparametric Statistics, 30(1), pp. 182-196, DOI: 10.1080/1048252.2017. 1404063.
  • Rao, M., Chen, Y., Vemuri, B. C., and Wang, F., (2004). Cumulative residual entropy: a new measure of information. IEEE transactions on Information Theory, 50 (6), pp. 1220-1228.
  • Raqab, M. Z. and Qiu, G., (2019). On extropy properties of ranked set sampling. Statistics, 53(1), pp. 210-226, DOI: 10.1080/02331888.2018.1533963.
  • Renyi, A., (1961). On measures of entropy and information. Stat. and Prob., 1, pp. 547- 561.
  • Shannon, C. E., (1948). A mathematical theory of communications. Bell System Tech. J., 27(3), pp. 379-423.
  • Singh, S, Tripathi, Y. M., (2016). Estimating the parameters of an inverse Weibull distribution under progressive type-I interval censoring. Stat. Pap., 59, pp. 21-56.
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  • Vasicek, O., (1976). A test for normality based on sample entropy. Journal of the Royal Statistical Society B, 38, pp. 54-59.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.ekon-element-000171696655

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