{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T21:00:47Z","timestamp":1780088447763,"version":"3.54.0"},"reference-count":67,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,8,29]],"date-time":"2022-08-29T00:00:00Z","timestamp":1661731200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002713","name":"Scientific Research at Imam Mohammad Ibn Saud Islamic University","doi-asserted-by":"publisher","award":["RG-21-09-10"],"award-info":[{"award-number":["RG-21-09-10"]}],"id":[{"id":"10.13039\/501100002713","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>A new three-parameter survival model is proposed using the Kavya\u2013Manoharan (KM) transformation family and the exponentiated Weibull (EW) distribution. The shapes of the pdf for the new model can be asymmetric and symmetric shapes, such as unimodal, decreasing, right-skewed and symmetric. In addition, the shapes of the hrf for the suggested model can be increasing, decreasing, constant and J-shaped. Statistical properties are obtained: quantile function, mode, moments, incomplete moments, residual life time, reversed residual life time, probability weighted moments, order statistics and entropy. We discuss the maximum likelihood estimation for the model. The relevance and flexibility of the model are demonstrated using two real datasets. The distribution is very flexible, and it outperforms many known distributions, such as the three-parameter exponentiated Weibull, the modified Weibull model, the Kavya\u2013Manoharan Weibull, the extended Weibull, the odd Weibull inverse Topp\u2013Leone and the extended odd Weibull inverse Nadarajah\u2013Haghigh model. A bivariate step-stress accelerated life test based on progressive type-I censoring (PTIC) using the model is presented. This pattern is noticed when a particular number of lifetime test units are routinely eliminated from the test at the conclusion of each post-test period of time. Minimizing the asymptotic variance of the MLE of the log of the scale parameter at design stress under PTIC yields an expression for the ideal test plan under PTIC.<\/jats:p>","DOI":"10.3390\/sym14091791","type":"journal-article","created":{"date-parts":[[2022,8,31]],"date-time":"2022-08-31T02:09:36Z","timestamp":1661911776000},"page":"1791","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["Bivariate Step-Stress Accelerated Life Tests for the Kavya\u2013Manoharan Exponentiated Weibull Model under Progressive Censoring with Applications"],"prefix":"10.3390","volume":"14","author":[{"given":"Naif","family":"Alotaibi","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ibrahim","family":"Elbatal","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"},{"name":"Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3888-1275","authenticated-orcid":false,"given":"Ehab M.","family":"Almetwally","sequence":"additional","affiliation":[{"name":"Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt"},{"name":"Faculty of Business Administration, Delta University of Science and Technology, Gamasa 11152, Egypt"},{"name":"The Scientific Association for Studies and Applied Research, Al Manzalah 35646, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5507-9399","authenticated-orcid":false,"given":"Salem A.","family":"Alyami","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2764-686X","authenticated-orcid":false,"given":"A. S.","family":"Al-Moisheer","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Jouf University, Sakaka 72351, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1333-3862","authenticated-orcid":false,"given":"Mohammed","family":"Elgarhy","sequence":"additional","affiliation":[{"name":"The Higher Institute of Commercial Sciences, Al Mahalla Al Kubra 31951, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1115\/1.4010337","article-title":"A statistical distribution function of wide applicability","volume":"18","author":"Weibull","year":"1951","journal-title":"J. Appl. Mech."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1080\/00401706.1995.10484376","article-title":"The exponentiated Weibull family: A reanalysis of the bus-motor-failure data","volume":"37","author":"Mudholkar","year":"1995","journal-title":"Technometrics"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/S0951-8320(02)00022-4","article-title":"A modified Weibull extension with bathtub shaped failure rate function","volume":"76","author":"Xie","year":"2002","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/0951-8320(95)00149-2","article-title":"Reliability analysis using an additive Weibull model with bathtub shaped failure rate function","volume":"52","author":"Xie","year":"1995","journal-title":"Reliab. Eng. Syst. Saf."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"839","DOI":"10.1007\/s00362-012-0466-x","article-title":"The exponentiated Weibull distribution: A survey","volume":"54","author":"Nadarajah","year":"2013","journal-title":"Stat. Pap."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"117","DOI":"10.17713\/ajs.v42i2.160","article-title":"On the transmuted additive Weibull distribution","volume":"42","author":"Elbatal","year":"2013","journal-title":"Austrian J. Stat."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"3812","DOI":"10.1080\/03610918.2015.1112909","article-title":"The Kumaraswamy-transmuted exponentiated modified Weibull distribution","volume":"46","author":"Fattah","year":"2017","journal-title":"Commun. Stat. Simul. Comput."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"141","DOI":"10.18187\/pjsor.v15i1.2824","article-title":"The Burr X Exponentiated Weibull Model: Characterizations, Mathematical Properties and Applications to Failure and Survival Times Data","volume":"15","author":"Khalil","year":"2019","journal-title":"Pak. J. Stat. Oper. Res."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"223","DOI":"10.2991\/jsta.d.200507.004","article-title":"Marshall Olkin Power Generalized Weibull Distribution with Applications in Engineering and Medicine","volume":"19","author":"Afify","year":"2020","journal-title":"J. Stat. Theory Appl."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Alotaibi, N., Elbatal, I., Almetwally, E.M., Alyami, S.A., Al-Moisheer, A.S., and Elgarhy, M. (2022). Truncated Cauchy Power Weibull-G Class of Distributions: Bayesian and Non-Bayesian Inference Modelling for COVID-19 and Carbon Fiber Data. Mathematics, 10.","DOI":"10.3390\/math10091565"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"3994361","DOI":"10.1155\/2022\/3994361","article-title":"A New version of Weighted Weibull distribution: Modelling to COVID-19 data","volume":"2022","author":"Alahmadi","year":"2022","journal-title":"Discret. Dyn. Nat. Soc."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Aldahlan, M.A., Jamal, F., Chesneau, C., Elbatal, I., and Elgarhy, M. (2020). Exponentiated power generalized Weibull power series family of distributions: Properties, estimation and applications. PLoS ONE, 15.","DOI":"10.1371\/journal.pone.0230004"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Almarashi, A.M., Jamal, F., Chesneau, C., and Elgarhy, M. (2020). The exponentiated truncated inverse Weibull-generated family of distributions with applications. Symmetry, 12.","DOI":"10.3390\/sym12040650"},{"key":"ref_14","first-page":"5082192","article-title":"Odd inverse power generalized Weibull generated family of distributions:Properties and applications","volume":"2021","author":"Elbatal","year":"2021","journal-title":"Math. Probl. Eng."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3297693","DOI":"10.1155\/2020\/3297693","article-title":"The extended inverse Weibull distribution: Properties and applications","volume":"2020","author":"Alkarni","year":"2020","journal-title":"Complexity"},{"key":"ref_16","first-page":"449","article-title":"Properties of the four-parameter Weibull distribution and its applications","volume":"33","author":"Abouelmagd","year":"2017","journal-title":"Pak. J. Stat."},{"key":"ref_17","first-page":"616","article-title":"Exponentiated Weibull Weibull distribution: Statistical Properties and Applications","volume":"32","author":"Hassan","year":"2019","journal-title":"Gazi Univ. J. Sci."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1109\/24.229504","article-title":"Exponentiated weibull family for analysing bathtub failure-rate data","volume":"42","author":"Mudholkar","year":"1993","journal-title":"IEEE Trans. Reliab."},{"key":"ref_19","unstructured":"Johnson, N.L., Kotz, S., and Balakrishnan, N. (1994). Continuous Univariate Distributions, John Wiley & Sons. [2nd ed.]."},{"key":"ref_20","first-page":"235","article-title":"A method of proposing new distribution and its application to bladder cancer patients data","volume":"2","author":"Kumar","year":"2015","journal-title":"J. Stat. Appl. Prob. Lett."},{"key":"ref_21","first-page":"135","article-title":"A new class of exponential transformed Lindley distribution and its application to Yarn data","volume":"18","author":"Maurya","year":"2017","journal-title":"Int. J. Stat. Econ."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Joshua, V., Varadhan, S., and Vishnevsky, V. (2020). On a Generalized lifetime model using DUS transformation. Applied Probability and Stochastic Processes, Springer.","DOI":"10.1007\/978-981-15-5951-8"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3693","DOI":"10.1080\/00949655.2021.1946064","article-title":"Some parsimonious models for lifetimes and applications","volume":"91","author":"Kavya","year":"2021","journal-title":"J. Stat. Comput. Simul."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/s00184-009-0281-0","article-title":"Exact inference for progressively type-I censored exponential failure data","volume":"73","author":"Balakrishnan","year":"2011","journal-title":"Metrika"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"327","DOI":"10.6339\/JDS.201804_16(2).0006","article-title":"The odd Lindley Burr XII model: Bayesian analysis, classical inference and characterizations","volume":"16","author":"Korkmaz","year":"2018","journal-title":"J. Data Sci."},{"key":"ref_26","first-page":"119","article-title":"Topp-Leone Nadarajah-Haghighi distribution","volume":"10","author":"Yousof","year":"2017","journal-title":"\u0130statistik\u00e7iler Dergisi: \u0130statistik Ve Akt\u00fcerya"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1109\/TR.2003.821947","article-title":"Competing causes of failure and reliability tests for Weibull lifetimes under type I progressive censoring","volume":"53","author":"Balasooriya","year":"2004","journal-title":"IEEE Trans. Reliab."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1080\/00401706.1963.10490102","article-title":"Progressively censored samples in life testing","volume":"5","author":"Cohen","year":"1963","journal-title":"Technometrics"},{"key":"ref_29","unstructured":"Balakrishnan, N., and Cramer, E. (2010). The Art of Progressive Censoring: Applications to Reliability and Quality, Springer."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Mahmoud, R.M., Muhammed, H.Z., and El-Saeed, A.R. (2021). Inference for generalized inverted exponential distribution under progressive Type-I censoring scheme in presence of competing risks model. Sankhya A Indian J. Stat.","DOI":"10.1007\/s13171-020-00227-y"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Abo-Kasem, O.E., Almetwally, E.M., and Abu El-Azm, W.S. (2022). Inferential Survival Analysis for Inverted NH Distribution Under Adaptive Progressive Hybrid Censoring with Application of Transformer Insulation. Ann. Data Sci., 1\u201348.","DOI":"10.1007\/s40745-022-00409-5"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"109","DOI":"10.18576\/jsap\/090110","article-title":"Analysis of progressively Type-I censored data in competing risks models with generalized inverted exponential distribution","volume":"9","author":"Mahmoud","year":"2020","journal-title":"J. Stat. Appl. Prob."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"18050","DOI":"10.3934\/math.2022994","article-title":"A comparative inference on reliability estimation for a multi-component stress-strength model under power Lomax distribution with applications","volume":"7","author":"Ahmad","year":"2022","journal-title":"AIMS Math."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Almetwally, E.M., Alotaibi, R., Mutairi, A.A., Park, C., and Rezk, H. (2022). Optimal Plan of Multi-Stress\u2013Strength Reliability Bayesian and Non-Bayesian Methods for the Alpha Power Exponential Model Using Progressive First Failure. Symmetry, 14.","DOI":"10.3390\/sym14071306"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"380","DOI":"10.2991\/jsta.d.210510.001","article-title":"Estimation of parameters of the GIE distribution under progressive Type-I censoring","volume":"20","author":"Mahmoud","year":"2021","journal-title":"J. Stat. Theory Appl."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"5701529","DOI":"10.1155\/2021\/5701529","article-title":"Classical and Bayesian Estimation of the Inverse Weibull Distribution: Using Progressive Type-I Censoring Scheme","volume":"2021","author":"Algarni","year":"2021","journal-title":"Adv. Civ. Eng."},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Elbatal, I., Alotaibi, N., Alyami, S.A., Elgarhy, M., and El-Saeed, A.R. (2022). Bayesian and Non-Bayesian Estimation of the Nadarajah\u2013Haghighi Distribution: Using Progressive Type-1 Censoring Scheme. Mathematics, 10.","DOI":"10.3390\/math10050760"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1090","DOI":"10.1108\/IJQRM-05-2020-0150","article-title":"Approximated optimal design for a bivariate step-stress accelerated life test with generalized exponential distribution under type-I progressive censoring","volume":"38","author":"Hakamipour","year":"2020","journal-title":"Int. J. Qual. Reliab. Manag."},{"key":"ref_39","unstructured":"Meeker, W.Q., Escobar, L.A., and Pascual, F.G. (2022). Statistical Methods for Reliability Data, John Wiley & Sons."},{"key":"ref_40","unstructured":"Nelson, W.B. (2009). Accelerated Testing: Statistical Models, Test Plans, and Data Analysis, John Wiley & Sons."},{"key":"ref_41","first-page":"203","article-title":"Accelerated Life Testing for Bivariate Distributions based on Progressive Censored Samples with Random Removal","volume":"11","author":"Muhammed","year":"2022","journal-title":"J. Stat. Appl. Probab."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1002\/qre.2523","article-title":"Optimal design of a simple step-stress accelerated life test under progressive type I censoring with nonuniform durations for exponential lifetimes","volume":"35","author":"Han","year":"2019","journal-title":"Qual. Reliab. Eng. Int."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1109\/TR.2006.890897","article-title":"Optimum bivariate step-stress accelerated life test for censored data","volume":"56","author":"Li","year":"2007","journal-title":"IEEE Trans. Reliab."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"1175","DOI":"10.1080\/00949651003796327","article-title":"Optimal bivariate step-stress accelerated life test for Type-I hybrid censored data","volume":"81","author":"Ling","year":"2011","journal-title":"J. Stat. Comput. Simul."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"1243","DOI":"10.1142\/S0219622015500224","article-title":"Optimal design for a bivariate simple step-stress accelerated life testing model with Type-II censoring and Gompertz distribution","volume":"14","author":"Hakamipour","year":"2015","journal-title":"Int. J. Inf. Technol. Decis. Mak."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"683","DOI":"10.18187\/pjsor.v17i3.2597","article-title":"Estimation and Optimal Plan for Bivariate Step-Stress Accelerated Life Test under Progressive Type-I Censoring","volume":"17","author":"Khan","year":"2021","journal-title":"Pak. J. Stat. Oper. Res."},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Alotaibi, R., Mutairi, A.A., Almetwally, E.M., Park, C., and Rezk, H. (2022). Optimal Design for a Bivariate Step-Stress Accelerated Life Test with Alpha Power Exponential Distribution Based on Type-I Progressive Censored Samples. Symmetry, 14.","DOI":"10.3390\/sym14040830"},{"key":"ref_48","doi-asserted-by":"crossref","unstructured":"J\u00e4ntschi, L. (2020). Detecting Extreme Values with Order Statistics in Samples from Continuous Distributions. Mathematics, 8.","DOI":"10.3390\/math8020216"},{"key":"ref_49","unstructured":"R\u00e9nyi, A. (1960, January 20\u201330). On measures of entropy and information. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Berkeley, CA, USA."},{"key":"ref_50","unstructured":"King, G. (1989). Unifying Political Methodology: The Likelihood Theory of Statistical Inference, Cambridge University Press."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1007\/s00180-010-0217-1","article-title":"maxLik: A package for maximum likelihood estimation in R","volume":"26","author":"Henningsen","year":"2011","journal-title":"Comput. Stat."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1016\/j.matcom.2007.06.007","article-title":"Lindley distribution and its application","volume":"78","author":"Ghitany","year":"2008","journal-title":"Math. Comput. Simul."},{"key":"ref_53","first-page":"81","article-title":"Total time on test plot analysis for mechanical components of the RSG-GAS reactor","volume":"25","author":"Suprawhardana","year":"1999","journal-title":"Atom. Indones."},{"key":"ref_54","unstructured":"El-Desouky, B.S., Mustafa, A., and AL-Garash, S. (2017). The Beta Flexible Weibull Distribution. arXiv."},{"key":"ref_55","doi-asserted-by":"crossref","unstructured":"Lee, E.T., and Wang, J.W. (2003). Statistical Methods for Survival Data Analysis, Wiley. [3rd ed.].","DOI":"10.1002\/0471458546"},{"key":"ref_56","first-page":"139","article-title":"Exponentiated weibull distribution","volume":"66","author":"Pal","year":"2006","journal-title":"Statistica"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1109\/TR.2002.805788","article-title":"A modified Weibull distribution","volume":"52","author":"Lai","year":"2003","journal-title":"IEEE Trans. Reliab."},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"1","DOI":"10.17485\/ijst\/2015\/v8i35\/67611","article-title":"On the exponentiated generalized Weibull distribution: A generalization of the Weibull distribution","volume":"8","author":"Oguntunde","year":"2015","journal-title":"Indian J. Sci. Technol."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1080\/03610910701236081","article-title":"Failure data analysis with extended Weibull distribution","volume":"36","author":"Zhang","year":"2007","journal-title":"Commun. Stat. Simul. Comput."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/s40745-021-00329-w","article-title":"The odd Weibull inverse Topp\u2013Leone distribution with applications to COVID-19 data","volume":"9","author":"Almetwally","year":"2021","journal-title":"Ann. Data Sci."},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"85","DOI":"10.18576\/msl\/100302","article-title":"Extended Odd Weibull Inverse Nadarajah-Haghighi Distribution with Application on COVID-19 in Saudi Arabia","volume":"10","author":"Almetwally","year":"2021","journal-title":"Math. Sci. Lett."},{"key":"ref_62","first-page":"13","article-title":"On the composition of elementary errors","volume":"1","year":"1928","journal-title":"Scand. Actuar. J."},{"key":"ref_63","doi-asserted-by":"crossref","unstructured":"Von Mises, R.E. (1928). Wahrscheinlichkeit, Statistik und Wahrheit, Julius Springer.","DOI":"10.1007\/978-3-662-36230-3"},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1214\/aoms\/1177731684","article-title":"Confidence limits for an unknown distribution function","volume":"12","author":"Kolmogoroff","year":"1941","journal-title":"Ann. Math. Stat."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1214\/aoms\/1177730256","article-title":"Table for estimating the goodness of fit of empirical distributions","volume":"19","author":"Smirnov","year":"1948","journal-title":"Ann. Math. Stat."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1214\/aoms\/1177729437","article-title":"Asymptotic theory of certain \u2019goodness-of-fit\u2019 criteria based on stochastic processes","volume":"23","author":"Anderson","year":"1952","journal-title":"Ann. Math. Stat."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"765","DOI":"10.1080\/01621459.1954.10501232","article-title":"A test of goodness of fit","volume":"49","author":"Anderson","year":"1954","journal-title":"J. Am. Stat. Assoc."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/9\/1791\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:19:20Z","timestamp":1760141960000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/9\/1791"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,29]]},"references-count":67,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2022,9]]}},"alternative-id":["sym14091791"],"URL":"https:\/\/doi.org\/10.3390\/sym14091791","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8,29]]}}}