Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution

Bahman Tarvirdizade; Hossein Kazemzadeh Gharehchobogh Hossein Kazemzadeh Gharehchobogh

Research Article

Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution

Year 2016, Volume: 45 Issue: 1, 267 - 278, 01.02.2016

Bahman Tarvirdizade , Hossein Kazemzadeh Gharehchobogh Hossein Kazemzadeh Gharehchobogh

Abstract

Our interest is in estimating the stress-strength reliability Pr(X > Y )
based on lower record values when X and Y are two independent but
not identically distributed Burr type X random variables. The maximum likelihood estimator, Bayes and empirical Bayes estimators using
Lindleys approximations, are obtained and their properties are studied. The exact confidence interval, as well as the Bayesian credible sets
are obtained. Two examples are presented in order to illustrate the
inferences discussed in the previous sections. A Monte Carlo simulation study is conducted to investigate and compare the performance of
different types of estimators presented in this paper and to compare
them with some bootstrap intervals.

Keywords

Likelihood estimation, Bayesian estimation, Burr type X distribution, Record values, Stress-strength reliability, Lindley approximation

References

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Year 2016, Volume: 45 Issue: 1, 267 - 278, 01.02.2016

Bahman Tarvirdizade , Hossein Kazemzadeh Gharehchobogh Hossein Kazemzadeh Gharehchobogh

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Statistics
Authors	Bahman Tarvirdizade Hossein Kazemzadeh Gharehchobogh Hossein Kazemzadeh Gharehchobogh This is me
Publication Date	February 1, 2016
Published in Issue	Year 2016 Volume: 45 Issue: 1

Cite

APA	Tarvirdizade, B., & Hossein Kazemzadeh Gharehchobogh, H. K. G. (2016). Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution. Hacettepe Journal of Mathematics and Statistics, 45(1), 267-278.
AMA	Tarvirdizade B, Hossein Kazemzadeh Gharehchobogh HKG. Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution. Hacettepe Journal of Mathematics and Statistics. February 2016;45(1):267-278.
Chicago	Tarvirdizade, Bahman, and Hossein Kazemzadeh Gharehchobogh Hossein Kazemzadeh Gharehchobogh. “Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution”. Hacettepe Journal of Mathematics and Statistics 45, no. 1 (February 2016): 267-78.
EndNote	Tarvirdizade B, Hossein Kazemzadeh Gharehchobogh HKG (February 1, 2016) Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution. Hacettepe Journal of Mathematics and Statistics 45 1 267–278.
IEEE	B. Tarvirdizade and H. K. G. Hossein Kazemzadeh Gharehchobogh, “Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 1, pp. 267–278, 2016.
ISNAD	Tarvirdizade, Bahman - Hossein Kazemzadeh Gharehchobogh, Hossein Kazemzadeh Gharehchobogh. “Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution”. Hacettepe Journal of Mathematics and Statistics 45/1 (February 2016), 267-278.
JAMA	Tarvirdizade B, Hossein Kazemzadeh Gharehchobogh HKG. Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution. Hacettepe Journal of Mathematics and Statistics. 2016;45:267–278.
MLA	Tarvirdizade, Bahman and Hossein Kazemzadeh Gharehchobogh Hossein Kazemzadeh Gharehchobogh. “Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 1, 2016, pp. 267-78.
Vancouver	Tarvirdizade B, Hossein Kazemzadeh Gharehchobogh HKG. Inference on Pr(X > Y) Based on Record Values from the Burr Type X Distribution. Hacettepe Journal of Mathematics and Statistics. 2016;45(1):267-78.