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

A. Asgharzadeh; M. Abdi; Shuo-jye Wu

Research Article

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

Year 2015, Volume: 44 Issue: 2, 399 - 416, 01.04.2015

A. Asgharzadeh , M. Abdi Shuo-jye Wu

https://izlik.org/JA27HW78KA

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

Confidence interval , Joint condidence region , Monte Carlo simulation , Pivot , Upper record values

References

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Year 2015, Volume: 44 Issue: 2, 399 - 416, 01.04.2015

A. Asgharzadeh , M. Abdi Shuo-jye Wu

https://izlik.org/JA27HW78KA

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Research Article
Authors	A. Asgharzadeh M. Abdi This is me Shuo-jye Wu
Publication Date	April 1, 2015
IZ	https://izlik.org/JA27HW78KA
Published in Issue	Year 2015 Volume: 44 Issue: 2

Cite

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