On the study  of the stress-strength reliability in Weibull-$F$ Models

Zohreh Pakdaman

Makale detayları

On the study of the stress-strength reliability in Weibull-$F$ Models

Yazarlar:

Zohreh Pakdaman

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.269-288

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312239

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 In this paper, the problem of inferencing on the stress-strength reliability under Weibull-F Models when the stress and strength systems belong to the different families of distributions from the Weibull-F Model is considered. Some stochastic comparisons between the survival distribution functions of this model are obtained. Also, the asymptotic and several bootstrap confidence intervals of stress-strength reliability are studied. The efficiency of asymptotic and bootstrap confidence intervals are analyzed by simulation. The numerical example based on real-life data is displayed as an illustration.

 In this paper, the problem of inferencing on the stress-strength reliability under Weibull-F Models when the stress and strength systems belong to the different families of distributions from the Weibull-F Model is considered. Some stochastic comparisons between the survival distribution functions of this model are obtained. Also, the asymptotic and several bootstrap confidence intervals of stress-strength reliability are studied. The efficiency of asymptotic and bootstrap confidence intervals are analyzed by simulation. The numerical example based on real-life data is displayed as an illustration.

 In this paper, the problem of inferencing on the stress-strength reliability under Weibull-F Models when the stress and strength systems belong to the different families of distributions from the Weibull-F Model is considered. Some stochastic comparisons between the survival distribution functions of this model are obtained. Also, the asymptotic and several bootstrap confidence intervals of stress-strength reliability are studied. The efficiency of asymptotic and bootstrap confidence intervals are analyzed by simulation. The numerical example based on real-life data is displayed as an illustration.

 In this paper, the problem of inferencing on the stress-strength reliability under Weibull-F Models when the stress and strength systems belong to the different families of distributions from the Weibull-F Model is considered. Some stochastic comparisons between the survival distribution functions of this model are obtained. Also, the asymptotic and several bootstrap confidence intervals of stress-strength reliability are studied. The efficiency of asymptotic and bootstrap confidence intervals are analyzed by simulation. The numerical example based on real-life data is displayed as an illustration.

Makale detayları

On the study of the stress-strength reliability in Weibull-$F$ Models

Yazarlar:

Zohreh Pakdaman

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.269-288

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312239

pISSN:

2651-477X

Stress-strength reliability

stochastic order

bootstrap confidence interval

Sayı

Makale detayları

On the study of the stress-strength reliability in Weibull-$F$ Models

Yazarlar: Zohreh Pakdaman

Yayıncı: Hacettepe University

Ana Başlıklar: Statistics

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.269-288

Belge Tipi: Makale

Yayın Tarihi: 2/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001312239

pISSN: 2651-477X

Stress-strength reliability

stochastic order

bootstrap confidence interval

Sayı

Yazarlar:

Zohreh Pakdaman

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.269-288

Belge Tipi:

Makale

Yayın Tarihi:

2/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001312239

pISSN:

2651-477X