ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS

Volume: 01 Number: 1 June 1, 2011
  • Ismihan Bairamov
  • Banu Altinsoy
  • G. Jay Kerns
EN

ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS

Abstract

A class of bivariate distributions which generalizes the Sarmanov class is introduced. This class possesses a simple analytical form and desirable dependence properties. The admissible range for association parameter for given bivariate distributions are derived and the range for correlation coefficients are also presented.

Keywords

References

  1. Barlow R. and Proschan, F., (1981), Statistical Theory of Reliability and Life Testing: Probability Models, to begin with, Silver Spring, MD.
  2. Bairamov, I.G., Kotz, S. and Bek¸ci, M., (2001), New generalized Farlie-Gumbel-Morgenstern distri- butions and concomitants of order statistics, Journal of Applied Statistics, 28(5), 521-536.
  3. Bairamov, I.G. and Kotz, S. (2002) Dependence structure and symmetry of Huang-Kotz FGM distri- butions and their extensions. Metrika. 56 ,1, 55-72.
  4. Bairamov, I. G., Kotz, S. and Gebizlioglu O.L. (2001) The Sarmanov family and its generalization. South African Statistical Journal. 35, 205-224.
  5. Huang, J.S. and Kotz, S., (1999), Modifications of the Farlie-Gumbel-Morgenstern distributions, A tough hill to climb, Metrika, 49, 135-145.
  6. Joe H., (1997), Multivariate Models and Dependence Concepts, Chapman and Hall, London.
  7. Lee, M.-L. T., (1996), Properties and applications of the Sarmanov family of bivariate distributions, Communications in Statistics. -Theory Meth., 25(6), 1207-1222.
  8. Lin, G.D. and Huang, J.S., (2011), Maximum correlation for the generalized Sarmanov bivariate distributions, Journal of Statistical Planning and Inference, 141, 2738-2749.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Ismihan Bairamov This is me

Banu Altinsoy This is me

G. Jay Kerns This is me

Publication Date

June 1, 2011

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2011 Volume: 01 Number: 1

APA
Bairamov, I., Altinsoy, B., & Kerns, G. J. (2011). ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS. TWMS Journal of Applied and Engineering Mathematics, 01(1), 86-97. https://izlik.org/JA25HZ28BP
AMA
1.Bairamov I, Altinsoy B, Kerns GJ. ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS. JAEM. 2011;01(1):86-97. https://izlik.org/JA25HZ28BP
Chicago
Bairamov, Ismihan, Banu Altinsoy, and G. Jay Kerns. 2011. “ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS”. TWMS Journal of Applied and Engineering Mathematics 01 (1): 86-97. https://izlik.org/JA25HZ28BP.
EndNote
Bairamov I, Altinsoy B, Kerns GJ (June 1, 2011) ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS. TWMS Journal of Applied and Engineering Mathematics 01 1 86–97.
IEEE
[1]I. Bairamov, B. Altinsoy, and G. J. Kerns, “ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS”, JAEM, vol. 01, no. 1, pp. 86–97, June 2011, [Online]. Available: https://izlik.org/JA25HZ28BP
ISNAD
Bairamov, Ismihan - Altinsoy, Banu - Kerns, G. Jay. “ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS”. TWMS Journal of Applied and Engineering Mathematics 01/1 (June 1, 2011): 86-97. https://izlik.org/JA25HZ28BP.
JAMA
1.Bairamov I, Altinsoy B, Kerns GJ. ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS. JAEM. 2011;01:86–97.
MLA
Bairamov, Ismihan, et al. “ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 01, no. 1, June 2011, pp. 86-97, https://izlik.org/JA25HZ28BP.
Vancouver
1.Ismihan Bairamov, Banu Altinsoy, G. Jay Kerns. ON GENERALIZED SARMANOV BIVARIATE DISTRIBUTIONS. JAEM [Internet]. 2011 Jun. 1;01(1):86-97. Available from: https://izlik.org/JA25HZ28BP