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

Bahman TARVİRDİZADE; Hossein Kazemzadeh Gharehchobogh HOSSEİN KAZEMZADEH GHAREHCHOBOGH

Makale detayları

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

Yazarlar:

Bahman TARVİRDİZADE | Hossein Kazemzadeh Gharehchobogh HOSSEİN KAZEMZADEH GHAREHCHOBOGH

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 1, pp.267-278

Belge Tipi:

Makale

Yayın Tarihi:

1/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000452804

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

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.

Makale detayları

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

Yazarlar: Bahman TARVİRDİZADE | Hossein Kazemzadeh Gharehchobogh HOSSEİN KAZEMZADEH GHAREHCHOBOGH

Yayıncı: Hacettepe University

Ana Başlıklar: Analiz

Dergi: Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 1, pp.267-278

Belge Tipi: Makale

Yayın Tarihi: 1/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000452804

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Bahman TARVİRDİZADE | Hossein Kazemzadeh Gharehchobogh HOSSEİN KAZEMZADEH GHAREHCHOBOGH

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 1, pp.267-278

Belge Tipi:

Makale

Yayın Tarihi:

1/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000452804

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X