Inference for the Two Parameter Reduced Kies Distribution under Progressive Type-II Censoring

Mansour Shrahili, Naif Alotaibi, Devendra Kumar and Salem A. Alyami
Additional contact information
Mansour Shrahili: Department of Statistics and Operations Research, King Saud University, Riyadh 11451, Saudi Arabia
Naif Alotaibi: Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh 11623, Saudi Arabia
Devendra Kumar: Department of Statistics, Central University of Haryana, Mahendergarh 123029, India
Salem A. Alyami: Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh 11623, Saudi Arabia

Mathematics, 2020, vol. 8, issue 11, 1-20

Abstract: In this paper, we obtained several recurrence relations for the single and product moments under progressively Type-II right censored order statistics and then use these results to compute the means and variances of two parameter reduced Kies distribution. Besides, these moments are then utilized to derived best linear unbiased estimators of the scale and location parameters of two parameter reduced Kies distribution. The parameters of the two parameter reduced Kies distribution are estimated under progressive type-II censoring scheme. The model parameters are estimated using the maximum likelihood estimation method. Further, we explore the asymptotic confidence intervals for the model parameters. Monte Carlo simulations are performed to compare between the proposed estimation methods under progressive type-II censoring scheme. Based on our study, we can conclude that maximum likelihood estimators is decreasing with respect to an increase of the schemes and comparing the three censoring schemes, it is clear that the mean sum of squares, confidence interval lengths are smaller for scheme 1 than schemes 2 and 3.

Keywords: progressive type-II censoring; moments; recurrence relations; reduced Kies distribution; maximum likelihood estimation; best linear unbiased estimator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/11/1997/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/11/1997/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:11:p:1997-:d:442003

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().