Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring

Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring

In this paper, we discussed the estimation of the index Cpy for a 3-Burr-XII distribution based on Progressive Type-II censoring. The maximum likelihood and Bayes method have been used to obtain the estimating of the index Cpy. The Fisher information matrix has been used to construct approximate con...

Full description

Bibliographic Details
Main Authors: Rashad M. EL-Sagheer, Mustafa M. Hasaballah
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2020/2412857
id doaj-e80147d006dd49fbb41092a24702c746
record_format Article
spelling doaj-e80147d006dd49fbb41092a24702c7462020-11-25T03:56:37ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/24128572412857Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II CensoringRashad M. EL-Sagheer0Mustafa M. Hasaballah1Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, EgyptMathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, EgyptIn this paper, we discussed the estimation of the index Cpy for a 3-Burr-XII distribution based on Progressive Type-II censoring. The maximum likelihood and Bayes method have been used to obtain the estimating of the index Cpy. The Fisher information matrix has been used to construct approximate confidence intervals. Also, bootstrap confidence intervals (CIs) of the estimators have been obtained. The Bayesian estimates for the index Cpy have been obtained by the Markov Chain Monte Carlo method. Also, the credible intervals are constructed by using MCMC samples. Two real-datasets have been discussed using the proposed index.http://dx.doi.org/10.1155/2020/2412857
collection DOAJ
language English
format Article
sources DOAJ
author Rashad M. EL-Sagheer
Mustafa M. Hasaballah
spellingShingle Rashad M. EL-Sagheer
Mustafa M. Hasaballah
Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring
International Journal of Mathematics and Mathematical Sciences
author_facet Rashad M. EL-Sagheer
Mustafa M. Hasaballah
author_sort Rashad M. EL-Sagheer
title Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring
title_short Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring
title_full Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring
title_fullStr Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring
title_full_unstemmed Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring
title_sort inference of process capability index cpy for 3-burr-xii distribution based on progressive type-ii censoring
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2020-01-01
description In this paper, we discussed the estimation of the index Cpy for a 3-Burr-XII distribution based on Progressive Type-II censoring. The maximum likelihood and Bayes method have been used to obtain the estimating of the index Cpy. The Fisher information matrix has been used to construct approximate confidence intervals. Also, bootstrap confidence intervals (CIs) of the estimators have been obtained. The Bayesian estimates for the index Cpy have been obtained by the Markov Chain Monte Carlo method. Also, the credible intervals are constructed by using MCMC samples. Two real-datasets have been discussed using the proposed index.
url http://dx.doi.org/10.1155/2020/2412857
work_keys_str_mv AT rashadmelsagheer inferenceofprocesscapabilityindexcpyfor3burrxiidistributionbasedonprogressivetypeiicensoring
AT mustafamhasaballah inferenceofprocesscapabilityindexcpyfor3burrxiidistributionbasedonprogressivetypeiicensoring
_version_ 1715081380125212672

Similar Items