Research Article

Estimation of Parameters of Morgenstern type Bivariate Lindley Distribution by Ranked Set Sampling

Volume: 12 Number: 1 July 31, 2019
EN

Estimation of Parameters of Morgenstern type Bivariate Lindley Distribution by Ranked Set Sampling

Abstract

In this work, we have discussed the problem of estimation of the
parameters of Morgenstern type bivariate Lindley distribution (MTBLDD) us-
ing ranked set sampling. We have proposed two estimators, namely an unbiased
estimator based on the Stoke's ranked set sample and the best linear unbiased
estimator (BLUE) based on the Stoke's ranked set sample. The efficiencies of
the BLUE with respect to the unbiased estimator are also evaluated in this work.

Keywords

References

  1. [1] Barnett, V. and Moore, K. (1997): Best linear unbiased estimates in rankedset sampling with particular reference to imperfect ordering. Journal of Ap-plied Statistics, 24: 697-710.
  2. [2] Chen, Z., Bai, Z. and Sinha, B. K. (2004): Lecture Notes in Statistics,Ranked Set Sampling: Theory and Applications, Springer, New York.
  3. [3] Everitt, B.S. and Hande, D.J. (1981): Finite mixture distribution. Chapmanand Hall, London.
  4. [4] Ghitany, M. E., Atieh, B. and Nadarajah, S. (2008): Lindley distributionand its applications. Mathematics and Computers in Simulation, 78(4): 493506.
  5. [5] Ghitany, M. E., Al-Mutairi, D. K., Balakrishnan, N. and Al-Enezi, L. J.(2013): Power Lindley distribution and associated inference. ComputationalStatistics and Data Analysis, 64: 20-33.
  6. [6] Gomez, D. E. and Ojeda, E. C. (2011): The discrete Lindley distribution:Properties and applications. Journal of Statistical Computation and Simula-tion, 81(11): 1405-1416.
  7. [7] Irshad, M. R. and Maya, R. (2017): Extended Version of Generalized LindleyDistribution. South African Statistical Journal, 51(1): 19-44.
  8. [8] Lam, K., Sinha, B. K. and Wu, Z. (1994): Estimation of parameters in atwo-parameter exponential distribution using ranked set sample. Annals ofthe Institute of Statistical Mathematics, 46: 723-736.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Maya R This is me
India

Shibu D.s This is me
India

Publication Date

July 31, 2019

Submission Date

September 8, 2018

Acceptance Date

November 28, 2019

Published in Issue

Year 2019 Volume: 12 Number: 1

APA
M R, İ., R, M., & D.s, S. (2019). Estimation of Parameters of Morgenstern type Bivariate Lindley Distribution by Ranked Set Sampling. Istatistik Journal of The Turkish Statistical Association, 12(1), 25-34. https://izlik.org/JA35DJ96KU
AMA
1.M R İ, R M, D.s S. Estimation of Parameters of Morgenstern type Bivariate Lindley Distribution by Ranked Set Sampling. IJTSA. 2019;12(1):25-34. https://izlik.org/JA35DJ96KU
Chicago
M R, İrshad, Maya R, and Shibu D.s. 2019. “Estimation of Parameters of Morgenstern Type Bivariate Lindley Distribution by Ranked Set Sampling”. Istatistik Journal of The Turkish Statistical Association 12 (1): 25-34. https://izlik.org/JA35DJ96KU.
EndNote
M R İ, R M, D.s S (July 1, 2019) Estimation of Parameters of Morgenstern type Bivariate Lindley Distribution by Ranked Set Sampling. Istatistik Journal of The Turkish Statistical Association 12 1 25–34.
IEEE
[1]İ. M R, M. R, and S. D.s, “Estimation of Parameters of Morgenstern type Bivariate Lindley Distribution by Ranked Set Sampling”, IJTSA, vol. 12, no. 1, pp. 25–34, July 2019, [Online]. Available: https://izlik.org/JA35DJ96KU
ISNAD
M R, İrshad - R, Maya - D.s, Shibu. “Estimation of Parameters of Morgenstern Type Bivariate Lindley Distribution by Ranked Set Sampling”. Istatistik Journal of The Turkish Statistical Association 12/1 (July 1, 2019): 25-34. https://izlik.org/JA35DJ96KU.
JAMA
1.M R İ, R M, D.s S. Estimation of Parameters of Morgenstern type Bivariate Lindley Distribution by Ranked Set Sampling. IJTSA. 2019;12:25–34.
MLA
M R, İrshad, et al. “Estimation of Parameters of Morgenstern Type Bivariate Lindley Distribution by Ranked Set Sampling”. Istatistik Journal of The Turkish Statistical Association, vol. 12, no. 1, July 2019, pp. 25-34, https://izlik.org/JA35DJ96KU.
Vancouver
1.İrshad M R, Maya R, Shibu D.s. Estimation of Parameters of Morgenstern type Bivariate Lindley Distribution by Ranked Set Sampling. IJTSA [Internet]. 2019 Jul. 1;12(1):25-34. Available from: https://izlik.org/JA35DJ96KU