Research Article

Estimation procedures on Type-II censored data from a scaled Muth distribution

Volume: 39 Number: 2 June 2, 2021
  • Hayrinisa Demirci Bıçer
  • Berkay Öztürker

Estimation procedures on Type-II censored data from a scaled Muth distribution

Abstract

In the present paper, we consider the estimation problem for the scaled Muth distribution under Type-II censoring scheme. In order to estimate the model parameters α and β, the maximum likelihood, the least-squares, and the maximum spacing estimators are derived. To show estimation efficiencies of the estimators obtained with this paper, we present an extensive Monte-Carlo simulation study in which the estimators are compared according to bias and mean squared error criteria. Furthermore, we evaluate the applicability of the scaled Muth distribution by taking into account both full and Type-II censored data situations by an analysis conducted on a real-life dataset.

Keywords

References

  1. [1] Muth E. J. Reliability models with positive memory derived from the mean residual life function. Theory and applications of reliability 1977; 2:401–436.
  2. [2] Jodra, P., Jimenez-Gamero, M. D., Alba-Fernandez, M. V. On the Muth distribution. Mathematical Modelling and Analysis 2015; 20(3): 291-310.
  3. [3] Balakrishnan, N. Approximate maximum likelihood estimation of the mean and standard deviation of the normal distribution based on type II censored samples. Journal of Statistical Computation and Simulation 1989; 32(3): 137-148.
  4. [4] Tiku, M. L., Gill, P. S. Modified maximum likelihood estimators for the bivariate normal based on Type II censored samples. Communications in Statistics-Theory and Methods 1989; 18(9): 3505-3518.
  5. [5] Balakrishnan, N., Cutler, C. D. Maximum likelihood estimation of Laplace parameters based on Type-II censored samples. In Statistical Theory and Applications, Springer, New York, 1996 ;p. 145-151.
  6. [6] Ng, H. K. T., Kundu, D., Balakrishnan, N. Point and interval estimation for the two-parameter Birnbaum–Saunders distribution based on Type-II censored samples. Computational statistics & data analysis 2006; 50(11): 3222-3242.
  7. [7] Kundu, D., Howlader, H. Bayesian inference and prediction of the inverse Weibull distribution for Type-II censored data. Computational Statistics & Data Analysis 2010; 54(6): 1547-1558.
  8. [8] Kundu, D., Raqab, M. Z. Bayesian inference and prediction of order statistics for a Type-II censored Weibull distribution. Journal of statistical planning and inference 2012; 142(1): 41-47.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Hayrinisa Demirci Bıçer This is me
0000-0002-1520-5004
Türkiye

Berkay Öztürker This is me
Türkiye

Publication Date

June 2, 2021

Submission Date

March 13, 2020

Acceptance Date

March 4, 2021

Published in Issue

Year 2021 Volume: 39 Number: 2

APA
Bıçer, H. D., & Öztürker, B. (2021). Estimation procedures on Type-II censored data from a scaled Muth distribution. Sigma Journal of Engineering and Natural Sciences, 39(2), 148-158. https://izlik.org/JA29BK35DR
AMA
1.Bıçer HD, Öztürker B. Estimation procedures on Type-II censored data from a scaled Muth distribution. SIGMA. 2021;39(2):148-158. https://izlik.org/JA29BK35DR
Chicago
Bıçer, Hayrinisa Demirci, and Berkay Öztürker. 2021. “Estimation Procedures on Type-II Censored Data from a Scaled Muth Distribution”. Sigma Journal of Engineering and Natural Sciences 39 (2): 148-58. https://izlik.org/JA29BK35DR.
EndNote
Bıçer HD, Öztürker B (June 1, 2021) Estimation procedures on Type-II censored data from a scaled Muth distribution. Sigma Journal of Engineering and Natural Sciences 39 2 148–158.
IEEE
[1]H. D. Bıçer and B. Öztürker, “Estimation procedures on Type-II censored data from a scaled Muth distribution”, SIGMA, vol. 39, no. 2, pp. 148–158, June 2021, [Online]. Available: https://izlik.org/JA29BK35DR
ISNAD
Bıçer, Hayrinisa Demirci - Öztürker, Berkay. “Estimation Procedures on Type-II Censored Data from a Scaled Muth Distribution”. Sigma Journal of Engineering and Natural Sciences 39/2 (June 1, 2021): 148-158. https://izlik.org/JA29BK35DR.
JAMA
1.Bıçer HD, Öztürker B. Estimation procedures on Type-II censored data from a scaled Muth distribution. SIGMA. 2021;39:148–158.
MLA
Bıçer, Hayrinisa Demirci, and Berkay Öztürker. “Estimation Procedures on Type-II Censored Data from a Scaled Muth Distribution”. Sigma Journal of Engineering and Natural Sciences, vol. 39, no. 2, June 2021, pp. 148-5, https://izlik.org/JA29BK35DR.
Vancouver
1.Hayrinisa Demirci Bıçer, Berkay Öztürker. Estimation procedures on Type-II censored data from a scaled Muth distribution. SIGMA [Internet]. 2021 Jun. 1;39(2):148-5. Available from: https://izlik.org/JA29BK35DR

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