Analyzing the performance and evaluating the reliability of multicomponent system in various fields of engineering and technology follow bivariate pseudo-Rayleigh distributions. In this work, we have discussed a new bivariate pseudo-Rayleigh distribution. Some standard properties of distribution have been studied. The distributions of the order statistics and concomitants have also been studied.

entropy, survivorship function, maximum likelihood method, concomitants of order statistics.

Received: September 9, 2021; Accepted: October 20, 2021; Published: December 11, 2021

How to cite this article: Shakila Vijayakumar and B. Sivakumar, On pseudo-Rayleigh distribution, Far East Journal of Theoretical Statistics 63(1) (2021), 39-50. DOI: 10.17654/TS063010039

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References

[1] Saman Shahbaz, Muhammad Qaiser Shahbaz, M. Ahsanullah and Muhammad Mohsin, On a new class of probability distributions, Appl. Math. Lett. 24 (2011), 545-552.
[2] J. K. Filus and L. Z. Filus, On some new classes of multivariate probability distributions, Pakistan J. Statist. 22(1) (2006), 21-42.
[3] S. J. Chu, W. J. Huang and H. Chen, A study of asymptotic distribution of concomitants of certain order statistics, Statist. Sinica 9 (1999), 811-830.
[4] S. Nadarajah, Products and ratios for bivariate Gamma distribution, Appl. Math. Comput. 171 (2005), 581-595.
[5] A. Azzalini, A class of distributions which includes normal ones, Scand. J. Statist. 12(2) (1985), 171-178.
[6] S. Shahbaz and M. Ahmad, Concomitants of order statistics for bivariate pseudo-Weibull distribution, World Appl. Sci. J. 6(10) (2009), 1409-1412.
[7] H. Nagaraja and H. A. David, Distribution of the maximum of concomitants of selected order statistics, Ann. Statist. 22(1) (1994), 478-498.
[8] R. D. Gupta and D. Kundu, Theory and methods: generalized exponential distributions, Aust. N. Z. J. Stat. 41(2) (1999), 173-188.