Generalized extropy of $k$-Records: properties and applications

[1] Ahsanullah, M. (1994). Record values, random record models and concomitants. Journal of Statistical Research, 28, 89-109. https://www.researchgate.net/publication/228454046 Records and Concomitants

[2] Arnold, BC., Balakrishnan, N., & Nagaraja, HN. (1992). A First Course in Order Statistics. John Wiley, New York. https://www.uaar.edu.pk/fs/books/25.pdf

[3] Bansal, S., & Gupta, N. (2020). Weighted extropies and past extropy of order statistics and k-record values. Communications in Statistics-Theory and Methods, 51, 6091-6108. https://doi.org/10.1080/03610926.2020.1853773

[4] Bhaumik, D.K. & Gibbons, R.D. (2006). One-sided approximate prediction intervals for at least p of m observations from a gamma population at each of r locations. Technometrics, 48, 112-119. https://doi.org/10.1198/004017005000000355

[5] Dziubdziela, W., & Kopocinski, B. (1976). Limiting properties of the k-th record values. Applicationes Mathematican, 15, 187-190. https://eudml.org/doc/263206

[6] Go man, C., & Pedrick, G. (1965). First Course in Functional Analysis. Prentice Hall, London.

[7] Gupta, N., Chaudhary, S.K., & Sahu, P.K. (2022). On weighted cumulative residual extropy and weighted negative cumulative extropy. https://doi.org/10.1080/02331888.2023.2241595

[8] Gupta, N., & Chaudhary, S.K. (2022). On General Weighted Extropy of Ranked Set Sampling. Communications in Statistics-Theory and Methods, 1-14. https://doi.org/10.1080/03610926.2023.2179888

[9] Jose, J., & Sathar, E. A. (2019). Residual extropy of k-record values. Statistics and Probability Letters, 146, 1-6. https://doi.org/10.1016/j.spl.2018.10.019

[10] Jose, J., & Sathar, E. A. (2020). Past extropy of k-records. Stochastics and Quality Control, 35, 25-38. https://doi.org/10.1515/eqc-2019-0023

[11] Jose, J., & Sathar, E. A. (2022). Symmetry being tested through simultaneous application of upper and lower k-records in extropy. Journal of Statistical Computation and Simulation, 92, 830-846. https://doi.org/10.1080/00949655.2021.1975283

[12] Krishnan, A. S., Sunoj, S. M., & Nair, N. U. (2020). Some reliability properties of extropy for residual and past lifetime random variables. Journal of the Korean Statistical Society, 49(2), 457-474. https://doi.org/10.1007/s42952-019-00023-x

[13] Kundu, C. (2021). On cumulative residual (past) extropy of extreme order statistics. Communications in Statistics-Theory and Methods, 52, 5848-5865. https://doi.org/10.1080/03610926.2021.2021238

[14] Lad, F. G. San lippo, and G. Agro. (2015). Extropy: Complementary dual of entropy. Statistical Science, 30(1), 40-58. https://doi.org/10.1214/14-STS430

[15] Lawless, J. F. (2011). Statistical models and methods for lifetime data. Wiley, Hoboken.

[16] Qiu, G., & Jia, K. (2018). The residual extropy of order statistics. Statistics and Probability Letters, 133, 15-22. https://doi.org/10.1016/j.spl.2017.09.014

[17] Rao, M., Chen, Y., Vemuri, B., & Wang, F. (2004). Cumulative residual entropy: A new measure of information. IEEE Transactions on Information Theory, 50, 1220{1228. https://doi.org/10.1109/TIT.2004.828057

[18] Sathar, E. A., & Nair R, D. (2021). A study on weighted dynamic survival and failure extropies. Communications in Statistics-Theory and Methods, 52, 623-642. https://doi.org/10.1080/03610926.2021.1919308

[19] Sathar, E. A., & Nair R, D. (2021). On dynamic survival extropy. Communications in Statistics-Theory and Methods, 50(6), 1295-1313. https://doi.org/10.1080/03610926.2019.1649426

[20] Sathar, E. A., & Nair, R. D. (2021). On dynamic weighted extropy. Journal of Computational and Applied Mathematics, 393, 113507. https://doi.org/10.1016/j.cam.2021.113507

[21] Shaked, M., & Shanthikumar, J. (2007). Stochastic orders. New York, Springer New York.

[22] Shanker, R., Hagos, F. & Sujatha, S. (2015). On the modelling of lifetimes data using exponential and Lindley distributions. Biometrics and Biostatistics International Journal, 2(5), 1-9. https://doi.org/10.15406/bbij.2016.03.00061

[23] Shannon, C.E. (1948). A mathematical theory of communication. The Bell System Technical Journal, 27, 379{423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x

[24] Tahmasebi, S., & Toomaj, A. (2021). On negative cumulative extropy with applications. Communications in Statistics-Theory and Methods, 51, 5025-5047. https://doi.org/10.1080/03610926.2020.1831541

[25] Tsallis, C. (1988). Possible generalization of Boltzmann-Gibbs statistics. Journal of Statistical Physics, 52, 479-487. https://doi.org/10.1007/BF01016429

[26] Vasicek, O. (1976). A test for normality based on sample entropy. Journal of the Royal Statistical Society: Series B (Methodological), 38, 54-59. https://doi.org/10.1111/j.2517-6161.1976.tb01566.x

[27] Yousaf, F., Ali, S., & Shah, I. (2019). Statistical inference for the Chen distribution based on upper record values. Annals of Data Science, 6, 831-851. https://doi.org/10.1007/s40745-019-00214-7