Concomitants of Order Statistics and Record Values from Generalization of FGM Bivariate-Generalized Exponential Distribution

Springer Science and Business Media LLC - Tập 18 - Trang 309-322 - 2019
H. M. Barakat1, E. M. Nigm1, M. A. Alawady1, I. A. Husseiny1
1Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Tóm tắt

We introduce the generalized Farlie Gumbel Morgenstern (FGM) type bivariate-generalized exponential distribution. Some distributional properties of concomitants of order statistics as well as record values for this family are studied. Recurrence relations between the moments of concomitants are obtained, some of these recurrence relations were not publishes before for Morgenstern type bivariate distributions. Moreover, most of the paper results are extended to arbitrary distributions.

Tài liệu tham khảo

D. Morgenstern, Mitt. Math. Stat. 8 (1956), 234–235. https://ci.nii.ac.jp/naid/10011938351

E. J. Gumbel, J. Am. Stat. Assoc. 55 (1974), 698–707.

D. J. G. Farlie, Biometrica. 47 (1960), 307–323.

J. S. Huang, S. Kotz, Metrika 49 (1999), 135–145.

N. L. Johnson, S. Kotz, Commun. Stat. 4 (1975), 415–427.

I. Bairamov, K. Bayramoglu, J. Multivar. Anal. 113 (2013), 106–115.

S. Tahmasebi, A. Jafari, Bull. Malays. Math. Sci. Soc. 38 (2015), 1411–1423.

H. M.Barakat, E. M. Nigm, A. H. Syam, Malays. Math. Sci. Soc. 42 (2019), 337–353.

H. Bekrizadeh, G. A. Parham, M. R. Zadkarmi, Appl. Math. Sci. 71 (2012), 3527–3533. http://m-hikari.com/ams/ams-2012/ams-69-72-2012/bekrizadehAMS69-72-2012.pdf

R. D. Gupta, D. Kundu, Aust. NZ. J. Stat. 41 (1999), 173–188.

E. L. Lehmann, Math. Stat. 37 (1966), 1137–1153.

A. P. Prudnikov, Y. A. Brychkov, O. I. Marichev, Integrals and Series: Elementary Functions, Amsterdam, 1998. http://trove.nla.gov.au/work/16532475

I. Bairamov, S. Kotz, M. Becki, J. Appl. Statist. 28 (2001), 521–536.

M. Ahsanullah, Bull. Malays. Math. Sci. Soc. 32 (2009), 101–117. https://www.academia.edu/29357995

H. A. David, Bull. Inter. Statist. Inst. 45 (1973), 295–300.

P. K. Bhattacharya, Ann. Statist. 2 (1974), 1034–1039.

Z. Chen, Z. Bai, B. Sinha, Ranked Set Sampling: Theory and Applications, New York, 2004.

H. A. David, H. N. Nagaraja, in: N. Balakrishnan, C. R. Rao (Eds.), Handbook of Statistics, Elsevier, Amsterdam, 1998, pp. 487–513.

R. L. Houchens, Record Value Theory and Inference, Ann Arbor, 1984. https://www.worldcat.org/title/record-value-theory-and-inference/oclc/10829025

O. M. Bdair, M. Z. Raqab, Bull. Malays. Math. Sci. Soc. 2 (2013), 23–38. http://www.kurims.kyoto-u.ac.jp/EMIS/journals/BMMSS/pdf/v37n2/v37n2p14.pdf

B. C. Arnold, N. Balakrishnan, H. N. Nagaraja, Records, Wiley Series in Probability and Statistics, Probability and Statistics, New York, 1998.

M. Ahsanullah, M. Shakil, Bull. Malays. Math. Sci. Soc. 36 (2013), 625–635. https://www.emis.de/journals/BMMSS/pdf/acceptedpapers/2010-10-056_R3.pdf

Thông tin
Thông tin xuất bản

Springer Science and Business Media LLC

Tập 18

309-322

Thông tin tác giả