Research Article

Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records

Volume: 44 Number: 2 April 1, 2015
EN

Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records

Abstract

In this paper, we study the estimation problems for the two-parameter bathtub-shaped lifetime distribution based on upper record values. Exact condifence intervals and exact confidence regions for the parameters are constructed. Approximate confidence intervals and regions are also dis ussed based on the asymptoti normality of the maximum likelihood estimators. A simulation study is done for the performance of all proposed confidence intervals and regions. Two numerical examples with real data set and simulated data, are presented to illustrate the methods proposed here. 

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Publication Date

April 1, 2015

Submission Date

December 18, 2013

Acceptance Date

May 7, 2014

Published in Issue

Year 2015 Volume: 44 Number: 2

APA
Asgharzadeh, A., Abdi, M., & Wu, S.- jye. (2015). Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records. Hacettepe Journal of Mathematics and Statistics, 44(2), 399-416. https://izlik.org/JA27HW78KA
AMA
1.Asgharzadeh A, Abdi M, Wu S jye. Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records. Hacettepe Journal of Mathematics and Statistics. 2015;44(2):399-416. https://izlik.org/JA27HW78KA
Chicago
Asgharzadeh, A., M. Abdi, and Shuo-jye Wu. 2015. “Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records”. Hacettepe Journal of Mathematics and Statistics 44 (2): 399-416. https://izlik.org/JA27HW78KA.
EndNote
Asgharzadeh A, Abdi M, Wu S- jye (April 1, 2015) Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records. Hacettepe Journal of Mathematics and Statistics 44 2 399–416.
IEEE
[1]A. Asgharzadeh, M. Abdi, and S.- jye Wu, “Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, pp. 399–416, Apr. 2015, [Online]. Available: https://izlik.org/JA27HW78KA
ISNAD
Asgharzadeh, A. - Abdi, M. - Wu, Shuo-jye. “Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records”. Hacettepe Journal of Mathematics and Statistics 44/2 (April 1, 2015): 399-416. https://izlik.org/JA27HW78KA.
JAMA
1.Asgharzadeh A, Abdi M, Wu S- jye. Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records. Hacettepe Journal of Mathematics and Statistics. 2015;44:399–416.
MLA
Asgharzadeh, A., et al. “Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, Apr. 2015, pp. 399-16, https://izlik.org/JA27HW78KA.
Vancouver
1.A. Asgharzadeh, M. Abdi, Shuo-jye Wu. Interval Estimation For The Two-Parameter Bathtub-Shaped Lifetime Distribution Based On Records. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Apr. 1;44(2):399-416. Available from: https://izlik.org/JA27HW78KA