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Kayal T, Tripathi YM, Rastogi MK, Asgharzadeh A. Inference for Burr XII distribution under Type I progressive hybrid censoring. COMMUN STAT-SIMUL C 2017. [DOI: 10.1080/03610918.2016.1241405] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- T. Kayal
- Department of Mathematics, Indian Institute of Technology Patna, Bihar, India
| | | | - M. K. Rastogi
- National Institute of Pharmaceutical Education and Research, Hajipur, Bihar, India
| | - A. Asgharzadeh
- Department of Statistics, University of Mazandaran, Babolsar, Iran
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52
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Aslam M, Arif OH, Jun CH. An attribute control chart for a Weibull distribution under accelerated hybrid censoring. PLoS One 2017; 12:e0173406. [PMID: 28257479 PMCID: PMC5336291 DOI: 10.1371/journal.pone.0173406] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/12/2016] [Accepted: 02/09/2017] [Indexed: 11/19/2022] Open
Abstract
In this article, an attribute control chart has been proposed using the accelerated hybrid censoring logic for the monitoring of defective items whose life follows a Weibull distribution. The product can be tested by introducing the acceleration factor based on different pressurized conditions such as stress, load, strain, temperature, etc. The control limits are derived based on the binomial distribution, but the fraction defective is expressed only through the shape parameter, the acceleration factor and the test duration constant. Tables of the average run lengths have been generated for different process parameters to assess the performance of the proposed control chart. Simulation studies have been performed for the practical use, where the proposed chart is compared with the Shewhart np chart for demonstration of the detection power of a process shift.
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Affiliation(s)
- Muhammad Aslam
- Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- * E-mail:
| | - Osama H. Arif
- Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
| | - Chi-Hyuck Jun
- Department of Industrial and Management Engineering, POSTECH, Pohang, Republic of Korea
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53
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54
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Valiollahi R, Asgharzadeh A, Kundu D. Prediction of future failures for generalized exponential distribution under Type-I or Type-II hybrid censoring. BRAZ J PROBAB STAT 2017. [DOI: 10.1214/15-bjps302] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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55
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56
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Xue X, Fedorov VV. Optimal design of experiments with the observation censoring driven by random enrollment of subjects. JOURNAL OF STATISTICAL THEORY AND PRACTICE 2017. [DOI: 10.1080/15598608.2016.1263808] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Xiaoqiang Xue
- Department of Biostatistics, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, USA
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57
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Zhang F, Shi Y. Permissible noninformative priors for the accelerated life test model with censored data. SPRINGERPLUS 2016; 5:366. [PMID: 27065208 PMCID: PMC4807206 DOI: 10.1186/s40064-016-2004-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/12/2015] [Accepted: 03/15/2016] [Indexed: 11/10/2022]
Abstract
In this paper, the Jeffreys priors for the step-stress partially accelerated life test with Type-II adaptive progressive hybrid censoring scheme data are considered. Given a density function family satisfied certain regularity conditions, the Fisher information matrix and Jeffreys priors are obtained. Taking the Weibull distribution as an example, the Jeffreys priors, posterior analysis and its permissibility are discussed. The results, which present that how the accelerated stress levels, censored size, hybrid censoring time and stress change time etc. affect the Jeffreys priors, are obtained. In addition, a theorem which shows there exists a relationship between single observation and multi observations for permissible priors is proved. Finally, using Metroplis with in Gibbs sampling algorithm, these factors are confirmed by computing the frequentist coverage probabilities.
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58
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Panahi H. Estimation of the Burr type III distribution with application in unified hybrid censored sample of fracture toughness. J Appl Stat 2016. [DOI: 10.1080/02664763.2016.1258549] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Hanieh Panahi
- Department of Mathematics and Statistics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
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59
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Singh B, Goel R. Reliability Estimation of Modified Weibull Distribution with Type-II Hybrid Censored Data. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY, TRANSACTIONS A: SCIENCE 2016. [DOI: 10.1007/s40995-016-0124-6] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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60
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Cai J, Shi Y, Liu B. Analysis of incomplete data in the presence of dependent competing risks from Marshall–Olkin bivariate Weibull distribution under progressive hybrid censoring. COMMUN STAT-THEOR M 2016. [DOI: 10.1080/03610926.2015.1129420] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Jing Cai
- Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, China
- College of Science, Guizhou Minzu University, Guiyang, China
| | - Yimin Shi
- Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, China
| | - Bin Liu
- Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, China
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61
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Ashour SK, Nassar M. Inference for Weibull distribution under adaptive Type-I progressive hybrid censored competing risks data. COMMUN STAT-THEOR M 2016. [DOI: 10.1080/03610926.2015.1083111] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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62
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MirMostafaee SMTK, Amini M, Asgharzadeh A. Bayesian prediction of minimal repair times of a series system based on hybrid censored sample of components’ lifetimes under Rayleigh distribution. COMMUN STAT-THEOR M 2016. [DOI: 10.1080/03610926.2015.1030418] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- S. M. T. K. MirMostafaee
- Department of Statistics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
| | - Morteza Amini
- Department of Statistics, School of Mathematics, Statistics and Computer Sciences, College of Science, University of Tehran, Tehran, Iran
| | - A. Asgharzadeh
- Department of Statistics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
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63
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Górny J, Cramer E. Exact likelihood inference for exponential distributions under generalized progressive hybrid censoring schemes. ACTA ACUST UNITED AC 2016. [DOI: 10.1016/j.stamet.2015.10.003] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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64
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Xiuyun P, Zaizai Y. Bayesian estimation and prediction for the inverse weibull distribution under general progressive censoring. COMMUN STAT-THEOR M 2016. [DOI: 10.1080/03610926.2013.834452] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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65
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Tripathi YM, Rastogi MK. Estimation using hybrid censored data from a generalized inverted exponential distribution. COMMUN STAT-THEOR M 2015. [DOI: 10.1080/03610926.2014.932805] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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66
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Cramer E, Burkschat M, Górny J. On the exact distribution of the MLEs based on Type-II progressively hybrid censored data from exponential distributions. J STAT COMPUT SIM 2015. [DOI: 10.1080/00949655.2015.1099657] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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67
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Tian Y, Zhu Q, Tian M. Estimation for mixed exponential distributions under type-II progressively hybrid censored samples. Comput Stat Data Anal 2015. [DOI: 10.1016/j.csda.2015.03.003] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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68
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Su F, Zhu X. Exact likelihood inference for two exponential populations based on a joint generalized Type-I hybrid censored sample. J STAT COMPUT SIM 2015. [DOI: 10.1080/00949655.2015.1062483] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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69
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Zhu X, Balakrishnan N. Birnbaum–Saunders distribution based on Laplace kernel and some properties and inferential issues. Stat Probab Lett 2015. [DOI: 10.1016/j.spl.2015.02.007] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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70
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A stochastic expectation-maximization algorithm for the analysis of system lifetime data with known signature. Comput Stat 2015. [DOI: 10.1007/s00180-015-0586-6] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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71
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Gürünlü Alma Ö, Arabi Belaghi R. On the estimation of the extreme value and normal distribution parameters based on progressive type-II hybrid-censored data. J STAT COMPUT SIM 2015. [DOI: 10.1080/00949655.2015.1025785] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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72
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Bhattacharya R, Pradhan B, Dewanji A. Computation of optimum reliability acceptance sampling plans in presence of hybrid censoring. Comput Stat Data Anal 2015. [DOI: 10.1016/j.csda.2014.10.002] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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73
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Cho Y, Sun H, Lee K. Exact likelihood inference for an exponential parameter under generalized progressive hybrid censoring scheme. ACTA ACUST UNITED AC 2015. [DOI: 10.1016/j.stamet.2014.09.002] [Citation(s) in RCA: 54] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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74
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Feizjavadian S, Hashemi R. Analysis of dependent competing risks in the presence of progressive hybrid censoring using Marshall–Olkin bivariate Weibull distribution. Comput Stat Data Anal 2015. [DOI: 10.1016/j.csda.2014.08.002] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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75
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Exact likelihood inference for the two-parameter exponential distribution under Type-II progressively hybrid censoring. METRIKA 2015. [DOI: 10.1007/s00184-014-0525-5] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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76
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Panahi H, Sayyareh A. Estimation and prediction for a unified hybrid-censored Burr Type XII distribution. J STAT COMPUT SIM 2015. [DOI: 10.1080/00949655.2014.993985] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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77
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Balakrishnan N, Zhu X. Exact likelihood-based point and interval estimation for Laplace distribution based on Type-II right censored samples. J STAT COMPUT SIM 2014. [DOI: 10.1080/00949655.2014.993637] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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78
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Balakrishnan N, Cramer E, Iliopoulos G. On the method of pivoting the CDF for exact confidence intervals with illustration for exponential mean under life-test with time constraints. Stat Probab Lett 2014. [DOI: 10.1016/j.spl.2014.02.022] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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79
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López-Fidalgo J, Rivas-López M. Optimal experimental designs for partial likelihood information. Comput Stat Data Anal 2014. [DOI: 10.1016/j.csda.2012.10.009] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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80
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Estimation using hybrid censored data from a two-parameter distribution with bathtub shape. Comput Stat Data Anal 2013. [DOI: 10.1016/j.csda.2013.05.022] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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81
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Mao S, Shi YM, Sun YD. Exact inference for competing risks model with generalized type-I hybrid censored exponential data. J STAT COMPUT SIM 2013. [DOI: 10.1080/00949655.2013.851681] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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82
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Asgharzadeh A, Valiollahi R, Kundu D. Prediction for future failures in Weibull distribution under hybrid censoring. J STAT COMPUT SIM 2013. [DOI: 10.1080/00949655.2013.848451] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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83
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Tomer SK, Panwar MS. Estimation procedures for Maxwell distribution under type-I progressive hybrid censoring scheme. J STAT COMPUT SIM 2013. [DOI: 10.1080/00949655.2013.822871] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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84
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85
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Balakrishnan N, Zhu X. On the existence and uniqueness of the maximum likelihood estimates of the parameters of Birnbaum–Saunders distribution based on Type-I, Type-II and hybrid censored samples. STATISTICS-ABINGDON 2013. [DOI: 10.1080/02331888.2013.800069] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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86
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87
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On some exact distributional results based on Type-I progressively hybrid censored data from exponential distributions. ACTA ACUST UNITED AC 2013. [DOI: 10.1016/j.stamet.2012.07.006] [Citation(s) in RCA: 38] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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