{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,16]],"date-time":"2024-09-16T05:19:29Z","timestamp":1726463969084},"reference-count":80,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2023,1]]},"DOI":"10.1016\/j.cam.2022.114598","type":"journal-article","created":{"date-parts":[[2022,7,23]],"date-time":"2022-07-23T21:35:19Z","timestamp":1658612119000},"page":"114598","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":3,"special_numbering":"C","title":["A compound exponential distribution with application to control charts"],"prefix":"10.1016","volume":"417","author":[{"given":"Emmanuel","family":"Afuecheta","sequence":"first","affiliation":[]},{"given":"Mujahida","family":"Sayyed","sequence":"additional","affiliation":[]},{"given":"Idika E.","family":"Okorie","sequence":"additional","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0002-0481-0372","authenticated-orcid":false,"given":"Saralees","family":"Nadarajah","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.cam.2022.114598_b1","first-page":"74","article-title":"Control charts to monitor rates and proportions","volume":"35","author":"Ho","year":"2018","journal-title":"Qual. Reliab. Eng. Int."},{"key":"10.1016\/j.cam.2022.114598_b2","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1080\/02664769922700","article-title":"Shewhart control charts for the scale parameter of a Weibull control variable with fixed and variable sampling intervals","volume":"26","author":"Ramalhoto","year":"1999","journal-title":"J. Appl. Stat."},{"key":"10.1016\/j.cam.2022.114598_b3","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/j.techfore.2019.01.005","article-title":"Recent developments of control charts, identification of big data sources and future trends of current research","volume":"144","author":"Aykroyda","year":"2019","journal-title":"Technol. Forecast. Soc. Change"},{"key":"10.1016\/j.cam.2022.114598_b4","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1080\/00401706.1968.10490595","article-title":"The economic design of cumulative sum control charts","volume":"10","author":"Taylor","year":"1968","journal-title":"Technometrics"},{"key":"10.1016\/j.cam.2022.114598_b5","doi-asserted-by":"crossref","first-page":"1379","DOI":"10.1214\/aos\/1176350164","article-title":"Optimal stopping times for detecting changes in distributions","volume":"14","author":"Moustakides","year":"1986","journal-title":"Ann. Statist."},{"key":"10.1016\/j.cam.2022.114598_b6","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1080\/00224065.1997.11979748","article-title":"Control charting based on attribute data: Bibliography and review","volume":"29","author":"Woodall","year":"1997","journal-title":"J. Qual. Technol."},{"key":"10.1016\/j.cam.2022.114598_b7","unstructured":"K.H. Chen, D.S. Boning, R.E. Welsch, Multivariate statistical process control and signature analysis using eigenfactor detection methods, in: Proceedings of the Symposium on the Interface of Computer Science and Statistics, Costa Mesa, CA, 2001."},{"key":"10.1016\/j.cam.2022.114598_b8","doi-asserted-by":"crossref","first-page":"1387","DOI":"10.1080\/00207540110118415","article-title":"Design of double and triple-sampling X control charts using genetic algorithms","volume":"40","author":"He","year":"2002","journal-title":"Int. J. Prod. Res."},{"key":"10.1016\/j.cam.2022.114598_b9","doi-asserted-by":"crossref","first-page":"841","DOI":"10.1080\/07408170490473024","article-title":"Cumulative conformance count chart with sequentially updated parameters","volume":"36","author":"Tang","year":"2004","journal-title":"IIE Trans."},{"key":"10.1016\/j.cam.2022.114598_b10","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1080\/16843703.2004.11673075","article-title":"On the statistical design of geometric control charts","volume":"2","author":"Zhang","year":"2004","journal-title":"Qual. Technol. Quant. Manag."},{"key":"10.1016\/j.cam.2022.114598_b11","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1002\/qre.691","article-title":"A bootstrap control chart for Weibull percentiles","volume":"22","author":"Nichols","year":"2006","journal-title":"Qual. Reliab. Eng. Int."},{"key":"10.1016\/j.cam.2022.114598_b12","doi-asserted-by":"crossref","first-page":"1029","DOI":"10.1002\/qre.1019","article-title":"Monitoring a fraction with easy and reliable settings of the false alarm rate","volume":"25","author":"Duran","year":"2009","journal-title":"Qual. Reliab. Eng. Int."},{"key":"10.1016\/j.cam.2022.114598_b13","first-page":"435","article-title":"An ARL unbiased approach to setting control limits of CCC-r charts for high yield processes","volume":"17","author":"Cheng","year":"2010","journal-title":"Int. J. Prod. Res."},{"key":"10.1016\/j.cam.2022.114598_b14","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1080\/0951192X.2011.608720","article-title":"Change-point estimation of the process fraction non-conforming with a linear trend in statistical process control","volume":"24","author":"Zandi","year":"2011","journal-title":"Int. J. Comput. Integr. Manuf."},{"key":"10.1016\/j.cam.2022.114598_b15","doi-asserted-by":"crossref","first-page":"2011","DOI":"10.1080\/00949655.2013.780059","article-title":"An improved mean deviation exponentially weighted moving average control chart to monitor process dispersion under ranked set sampling","volume":"84","author":"Haq","year":"2014","journal-title":"J. Stat. Comput. Simul."},{"key":"10.1016\/j.cam.2022.114598_b16","doi-asserted-by":"crossref","first-page":"832","DOI":"10.1080\/02664763.2013.856386","article-title":"On the generalized process capability under simple and mixture models","volume":"41","author":"Ali","year":"2014","journal-title":"J. Appl. Stat."},{"key":"10.1016\/j.cam.2022.114598_b17","doi-asserted-by":"crossref","first-page":"1830","DOI":"10.1080\/00949655.2013.769540","article-title":"An exponentially weighted moving average chart controlling false discovery rate","volume":"84","author":"Lee","year":"2014","journal-title":"J. Stat. Comput. Simul."},{"key":"10.1016\/j.cam.2022.114598_b18","doi-asserted-by":"crossref","first-page":"1765","DOI":"10.1080\/00949655.2014.901327","article-title":"A rational sequential probability ratio test control chart for monitoring process shifts in mean and variance","volume":"85","author":"Ou","year":"2015","journal-title":"J. Stat. Comput. Simul."},{"key":"10.1016\/j.cam.2022.114598_b19","doi-asserted-by":"crossref","first-page":"1927","DOI":"10.1007\/s00170-014-6585-x","article-title":"Designing of a hybrid exponentially weighted moving average control chart using repetitive sampling","volume":"77","author":"Azam","year":"2015","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"10.1016\/j.cam.2022.114598_b20","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1080\/00949655.2017.1381699","article-title":"Robust multivariate control charts based on birnbaum-saunders distributions","volume":"88","author":"Marchant","year":"2018","journal-title":"J. Stat. Comput. Simul."},{"key":"10.1016\/j.cam.2022.114598_b21","doi-asserted-by":"crossref","DOI":"10.1002\/env.2551","article-title":"Monitoring urban environmental pollution by bivariate control charts: New methodology and case study in Santiago, Chile","volume":"30","author":"Marchant","year":"2019","journal-title":"Environmetrics"},{"key":"10.1016\/j.cam.2022.114598_b22","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1080\/16843703.2019.1572288","article-title":"Monitoring the process location by using new ranked set sampling-based memory control charts","volume":"17","author":"Nawaz","year":"2020","journal-title":"Qual. Technol. Quant. Manag."},{"key":"10.1016\/j.cam.2022.114598_b23","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1002\/asmb.2527","article-title":"Control charts based on randomized quantile residuals","volume":"36","author":"Park","year":"2020","journal-title":"Appl. Stoch. Models Bus. Ind."},{"key":"10.1016\/j.cam.2022.114598_b24","doi-asserted-by":"crossref","DOI":"10.1016\/j.cie.2021.107765","article-title":"Robust g-type quality control charts for monitoring nonconformities","volume":"162","author":"Park","year":"2021","journal-title":"Comput. Ind. Eng."},{"key":"10.1016\/j.cam.2022.114598_b25","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1002\/qre.2985","article-title":"Efficient GLM-based control charts for Poisson processes","volume":"38","author":"Mahmood","year":"2022","journal-title":"Qual. Reliab. Eng. Int."},{"key":"10.1016\/j.cam.2022.114598_b26","doi-asserted-by":"crossref","DOI":"10.1002\/qre.3075","article-title":"Adaptive CUSUM control charts for efficient monitoring of process dispersion","author":"Zaman","year":"2022","journal-title":"Qual. Reliab. Eng. Int."},{"key":"10.1016\/j.cam.2022.114598_b27","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1016\/j.techfore.2018.06.007","article-title":"Discovering and forecasting interactions in big data research: A learning-enhanced bibliometric study","volume":"146","author":"Zhang","year":"2019","journal-title":"Technol. Forecast. Soc. Change"},{"key":"10.1016\/j.cam.2022.114598_b28","doi-asserted-by":"crossref","DOI":"10.1016\/j.techfore.2018.03.024","article-title":"Big data analytics: Computational intelligence techniques and application areas","volume":"153","author":"Iqbal","year":"2020","journal-title":"Technol. Forecast. Soc. Change"},{"key":"10.1016\/j.cam.2022.114598_b29","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/j.techfore.2017.06.029","article-title":"Big data analytics sentiment: US-China reaction to data collection by business and government","volume":"130","author":"LaBrie","year":"2018","journal-title":"Technol. Forecast. Soc. Change"},{"key":"10.1016\/j.cam.2022.114598_b30","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/j.techfore.2017.07.027","article-title":"Big data sources and methods for social and economic analyses","volume":"130","author":"Blazquez","year":"2018","journal-title":"Technol. Forecast. Soc. Change"},{"key":"10.1016\/j.cam.2022.114598_b31","first-page":"5","article-title":"A control chart using belief information for a gamma distribution","volume":"26","author":"Aslam","year":"2016","journal-title":"Oper. Res. Decis."},{"key":"10.1016\/j.cam.2022.114598_b32","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1080\/00224065.2012.11917881","article-title":"On the equivalence of the Bernoulli and geometric CUSUM charts","volume":"44","author":"Szarka","year":"2012","journal-title":"J. Qual. Technol."},{"key":"10.1016\/j.cam.2022.114598_b33","doi-asserted-by":"crossref","first-page":"793","DOI":"10.1007\/s40092-017-0251-5","article-title":"An ex ante control chart for project monitoring using earned duration management observations","volume":"14","author":"Mortaji","year":"2018","journal-title":"J. Ind. Eng. Int."},{"key":"10.1016\/j.cam.2022.114598_b34","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1002\/qre.2384","article-title":"Percentile-based control chart design with an application to shewhart X\u00af and S2 control charts","volume":"35","author":"Faraz","year":"2019","journal-title":"Qual. Reliab. Eng. Int."},{"year":"2006","series-title":"Maximizing Machinery Uptime, Vol. 5","author":"Bloch","key":"10.1016\/j.cam.2022.114598_b35"},{"key":"10.1016\/j.cam.2022.114598_b36","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1080\/00224065.1998.11979819","article-title":"Designs of one- and two-sided exponential EWMA charts","volume":"30","author":"Gan","year":"1998","journal-title":"J. Qual. Technol."},{"key":"10.1016\/j.cam.2022.114598_b37","first-page":"849","article-title":"Design and application of exponential chart for monitoring time-between-events data under random process shift","volume":"57","author":"Zhang","year":"2011","journal-title":"Int. J. Comput. Integr. Manuf."},{"key":"10.1016\/j.cam.2022.114598_b38","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1080\/08982112.2012.740646","article-title":"Control charts based on the exponential distribution: Adapting runs rules for the t chart","volume":"25","author":"Santiago","year":"2013","journal-title":"J. Qual. Eng."},{"key":"10.1016\/j.cam.2022.114598_b39","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1002\/qre.1495","article-title":"Exponential CUSUM charts with estimated control limits","volume":"30","author":"Zhang","year":"2014","journal-title":"Qual. Reliab. Eng. Int."},{"key":"10.1016\/j.cam.2022.114598_b40","doi-asserted-by":"crossref","first-page":"1337","DOI":"10.1007\/s00170-013-5574-9","article-title":"Multiple dependent state variable sampling plans with process loss consideration","volume":"71","author":"Aslam","year":"2014","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"10.1016\/j.cam.2022.114598_b41","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1007\/s11135-014-0002-2","article-title":"A control chart for an exponential distribution using multiple dependent state sampling","volume":"49","author":"Aslam","year":"2015","journal-title":"Qual. Quant."},{"key":"10.1016\/j.cam.2022.114598_b42","doi-asserted-by":"crossref","first-page":"2131","DOI":"10.1080\/00207543.2014.974848","article-title":"Design of exponential control charts based on average time to signal using a sequential sampling scheme","volume":"53","author":"Yang","year":"2015","journal-title":"Int. J. Prod. Res."},{"key":"10.1016\/j.cam.2022.114598_b43","doi-asserted-by":"crossref","first-page":"1179","DOI":"10.1002\/qre.1825","article-title":"A EWMA control chart for exponential distributed quality based on moving average statistics","volume":"32","author":"Khan","year":"2016","journal-title":"Qual. Reliab. Eng. Int."},{"key":"10.1016\/j.cam.2022.114598_b44","doi-asserted-by":"crossref","first-page":"2625","DOI":"10.1002\/qre.2223","article-title":"Time-between-events control charts for an exponentiated class of distributions of the renewal process","volume":"33","author":"Ali","year":"2017","journal-title":"Qual. Reliab. Eng. Int."},{"key":"10.1016\/j.cam.2022.114598_b45","doi-asserted-by":"crossref","first-page":"70349","DOI":"10.1109\/ACCESS.2018.2881054","article-title":"A multivariate control chart for monitoring several exponential quality characteristics using EWMA","volume":"6","author":"Khan","year":"2018","journal-title":"IEEE Access"},{"key":"10.1016\/j.cam.2022.114598_b46","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1111\/1467-842X.00072","article-title":"Generalized exponential distributions","volume":"41","author":"Gupta","year":"1999","journal-title":"Aust. N. Z. J. Stat."},{"key":"10.1016\/j.cam.2022.114598_b47","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1002\/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R","article-title":"Exponentiated exponential family: An alternative to gamma and Weibull distributions","volume":"43","author":"Gupta","year":"2001","journal-title":"Biom. J."},{"key":"10.1016\/j.cam.2022.114598_b48","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/s10440-006-9055-0","article-title":"The exponentiated type distributions","volume":"92","author":"Nadarajah","year":"2006","journal-title":"Acta Appl. Math."},{"key":"10.1016\/j.cam.2022.114598_b49","doi-asserted-by":"crossref","first-page":"2493","DOI":"10.1016\/j.spl.2009.09.003","article-title":"A generalization of the exponential-Poisson distribution","volume":"79","author":"Barreto-Souza","year":"2009","journal-title":"Statist. Probab. Lett."},{"key":"10.1016\/j.cam.2022.114598_b50","doi-asserted-by":"crossref","first-page":"1239","DOI":"10.1080\/02664763.2010.491862","article-title":"The Poisson-exponential distribution: A Bayesian approach","volume":"38","author":"Louzada","year":"2011","journal-title":"J. Appl. Stat."},{"key":"10.1016\/j.cam.2022.114598_b51","doi-asserted-by":"crossref","first-page":"2516","DOI":"10.1016\/j.csda.2011.02.018","article-title":"The complementary exponential geometric distribution: Model, properties, and a comparison with its counterpart","volume":"55","author":"Louzada","year":"2011","journal-title":"Computat. Stat. Data Anal."},{"key":"10.1016\/j.cam.2022.114598_b52","first-page":"12","article-title":"Marshall\u2013Olkin extended exponential distribution: Different method of estimations","volume":"5","author":"Singh","year":"2016","journal-title":"J. Adv. Comput."},{"key":"10.1016\/j.cam.2022.114598_b53","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1515\/eqc-2018-0028","article-title":"Bounded M-O extended exponential distribution with applications","volume":"34","author":"Ghosh","year":"2019","journal-title":"Stoch. Qual. Control"},{"key":"10.1016\/j.cam.2022.114598_b54","doi-asserted-by":"crossref","first-page":"4497","DOI":"10.1016\/j.csda.2006.07.017","article-title":"A new lifetime distribution","volume":"51","author":"Ku\u015f","year":"2007","journal-title":"Comput. Statist. Data Anal."},{"key":"10.1016\/j.cam.2022.114598_b55","doi-asserted-by":"crossref","DOI":"10.1155\/2017\/2106748","article-title":"New generalizations of exponential distribution with applications","author":"Rather","year":"2017","journal-title":"J. Probab. Stat."},{"key":"10.1016\/j.cam.2022.114598_b56","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pone.0225827","article-title":"Lomax exponential distribution with an application to real-life data","volume":"14","author":"Ijaz","year":"2019","journal-title":"PLoS One"},{"year":"2022","series-title":"R: A Language and Environment for Statistical Computing","author":"R Core Team","key":"10.1016\/j.cam.2022.114598_b57"},{"key":"10.1016\/j.cam.2022.114598_b58","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1214\/aoms\/1177706981","article-title":"The mixture of normal distributions with different variances","volume":"28","author":"Teichroew","year":"1957","journal-title":"Ann. Math. Stat."},{"key":"10.1016\/j.cam.2022.114598_b59","first-page":"7","article-title":"A compound events model for security prices","volume":"31","author":"Press","year":"1967","journal-title":"J. Bus."},{"key":"10.1016\/j.cam.2022.114598_b60","first-page":"9","article-title":"The distribution of share price changes","volume":"4","author":"Praetz","year":"1972","journal-title":"J. Bus."},{"key":"10.1016\/j.cam.2022.114598_b61","doi-asserted-by":"crossref","first-page":"232","DOI":"10.2307\/1927230","article-title":"Some generalized mixture distributions with an application to unemployment duration","volume":"69","author":"McDonald","year":"1987","journal-title":"Rev. Econ. Stat."},{"key":"10.1016\/j.cam.2022.114598_b62","first-page":"59","article-title":"The modes of a mixture of two normal distribution","volume":"6","author":"Sitek","year":"2016","journal-title":"Sil. J. Pure Appl. Math."},{"key":"10.1016\/j.cam.2022.114598_b63","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1111\/manc.12234","article-title":"Flexible models for stock returns based on student\u2019s t distribution","volume":"87","author":"Afuecheta","year":"2019","journal-title":"Manch. Sch."},{"key":"10.1016\/j.cam.2022.114598_b64","doi-asserted-by":"crossref","first-page":"1207","DOI":"10.1016\/0026-2714(95)00053-4","article-title":"The power function distribution: A useful and simple distribution to assess electrical component reliability","volume":"36","author":"Meniconi","year":"1996","journal-title":"Microelectron. Reliab."},{"key":"10.1016\/j.cam.2022.114598_b65","first-page":"27","article-title":"Recurrence relations for marginal and joint moment generating functions of generalized order statistics from power function distribution","volume":"61","author":"Saran","year":"2003","journal-title":"Metron"},{"key":"10.1016\/j.cam.2022.114598_b66","first-page":"681","article-title":"Inference on reliability P(Y