Concomitants of Order Statistics and Record Values from Morgenstern Type Bivariate-Generalized Exponential Distribution

Saeid Tahmasebi1, Ali Akbar Jafari2
1Department of Statistics, Persian Gulf University, Bushehr, Iran
2Department of Statistics, Yazd University, Yazd, Iran

Tóm tắt

Từ khóa


Tài liệu tham khảo

Ahsanullah, M.: Record Statistics. NOVA Science, Commack (1995)

Ahsanullah, M.: Records and concomitants. Bull. Malays. Math. Sci. Soc. 32(2), 101–117 (2009)

Ahsanullah, M., Shakil, M.: Characterizations of Rayleigh distribution based on order statistics and record values. Bull. Malays. Math. Sci. Soc. 36(3), 625–635 (2013)

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

Bairamov, I.G., Bekçi, M.: Concomitant of order statistics in FGM type bivariate uniform distributions. İstatistik 2(2), 135–144 (1999)

Balasubramanian, K., Beg, M.I.: Concomitant of order statistics in Morgenstern type bivariate exponential distributions. J. Appl. Stat. Sci. 5(4), 233–245 (1997)

Barakat, H.M., Nigm, E.M., Elsawah, A.M.: Asymptotic distributions of the generalized and the dual generalized extremal quotient. Bull. Malays. Math. Sci. Soc. 36(3), 657–670 (2013)

Bdair, O.M., Raqab, M.Z.: Mean residual life of kth records under double monitoring. Malays. Math. Sci. Soc. 2, 23–38 (2013)

Bhattacharya, P.K.: Convergence of sample paths of normalized sums of induced order statistics. Ann. Stat. 2, 1034–1039 (1974)

Chacko, M., Thomas, P.Y.: Estimation of a parameter of Morgenstern type bivariate exponential distribution by ranked set sampling. Ann. Inst. Stat. Math. 60(2), 301–318 (2008)

Chacko, M., Thomas, P.Y.: Estimation of parameter of Morgenstern type bivariate exponential distribution using concomitants of order statistics. Stat. Methodol. 8(4), 363–376 (2011)

David, H.A., Nagaraja, H.N.: Concomitants of order statistics, in order statistics: theory & methods. In: Rao, C.R. (ed.) Handbook of Statistics, pp. 487–513. North-Holland, Amsterdam (1998)

D’Este, G.M.: A Morgenstern-type bivariate gamma distribution. Biometrika 68(1), 339–340 (1981)

Farlie, D.J.G.: The performance of some correlation coefficients for a general bivariate distribution. Biometrika 47, 307–323 (1960)

Gumbel, E.J.: Bivariate exponential distributions. J. Am. Stat. Assoc. 55, 698–707 (1960)

Gumbel, E.J.: Bivariate logistic distributions. J. Am. Stat. Assoc. 56, 335–349 (1961)

Gupta, R.D., Kundu, D.: Generalized exponential distributions. Aust. N. Z. J. Stat. 41(2), 173–188 (1999)

Johnson, N.L., Kotz, S.: On some generalized Farlie–Gumbel–Morgenstern distributions. Commun. Stat. 4, 415–427 (1975)

Houchens, R.L.: Record Value Theory and Inference. ProQuest LLC, Ann Arbor (1984)

Morgenstern, D.: Einfache Beispiele zweidimensionaler Verteilungen. Mitt. Math. Stat. 8, 234–235 (1956)

Nevzorov, V.B., Ahsanullah, M.: Some distributions of induced records. Biom. J. 42(8), 1069–1081 (2000)

Scaria, J., Nair, N.U.: On concomitants of order statistics from Morgenstern family. Biom. J. 41, 483–489 (1999)

Tahmasebi, S., Behboodian, J.: Information properties for concomitants of order statistics in Farlie–Gumbel–Morgenstern (FGM) family. Commun. Stat. Theory Methods 41(11), 1954–1968 (2012)

Tahmasebi, S., Behboodian, J.: Shannon information for concomitants of generalized order statistics in Farlie–Gumbel–Morgenstern (FGM) family. Bull. Malays. Math. Sci. Soc. 35(4), 975–981 (2012)