{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T21:18:47Z","timestamp":1773263927518,"version":"3.50.1"},"reference-count":28,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2023,10,6]],"date-time":"2023-10-06T00:00:00Z","timestamp":1696550400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"King Saud University, Riyadh, Saudi Arabia","award":["RSPD2023R548"],"award-info":[{"award-number":["RSPD2023R548"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This article is an extension of the Chris-Jerry distribution (C-JD) in that a two-parameter Chris-Jerry distribution (TPCJD) is suggested and its characteristics are studied. Based on the determined domain of attraction and other major statistical properties, the proposed TPCJD seems to fit into the Gumbel domain. Additionally, it has been confirmed that the stress strength is reliable. The tail study suggests that the TPCJD\u2019s substantial tail makes it suited for a range of applications. The study took into account the single acceptance sampling approach using both simulation and real-life situations. The parameters of the TPCJD were estimated by some classical and Bayesian approaches. The mean squared errors (MSE), linear-exponential, and generalized entropy loss functions were deployed to obtain the Bayesian estimators aided by the Markov chain Monte Carlo (MCMC) simulation. An analysis of lifetime data on two events justified the use of the proposed distribution after comparing the results with some standard lifetime models.<\/jats:p>","DOI":"10.3390\/sym15101881","type":"journal-article","created":{"date-parts":[[2023,10,7]],"date-time":"2023-10-07T14:17:26Z","timestamp":1696688246000},"page":"1881","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["New Lifetime Distribution with Applications to Single Acceptance Sampling Plan and Scenarios of Increasing Hazard Rates"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-5506-1666","authenticated-orcid":false,"given":"Eberechukwu Q.","family":"Chinedu","sequence":"first","affiliation":[{"name":"Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka P.O. Box 5025, Anambra, Nigeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8998-1700","authenticated-orcid":false,"given":"Queensley C.","family":"Chukwudum","sequence":"additional","affiliation":[{"name":"Department of Insurance and Risk Management, Faculty of Business Administration, University of Uyo, Akwa P.O. Box 520003, Ibom, Nigeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8884-8281","authenticated-orcid":false,"given":"Najwan","family":"Alsadat","sequence":"additional","affiliation":[{"name":"Department of Quantitative Analysis, College of Business Administration, King Saud University, Riyadh 11587, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7753-1868","authenticated-orcid":false,"given":"Okechukwu J.","family":"Obulezi","sequence":"additional","affiliation":[{"name":"Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka P.O. Box 5025, Anambra, Nigeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3888-1275","authenticated-orcid":false,"given":"Ehab M.","family":"Almetwally","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"},{"name":"Department of Statistics, Faculty of Business Administration, Delta University for Science and Technology, Gamasa 11152, Egypt"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8938-9187","authenticated-orcid":false,"given":"Ahlam H.","family":"Tolba","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"}]}],"member":"1968","published-online":{"date-parts":[[2023,10,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1111\/j.2517-6161.1958.tb00278.x","article-title":"Fiducial distributions and Bayes\u2019 theorem","volume":"20","author":"Lindley","year":"1958","journal-title":"J. R. Stat. Soc. Ser. B Methodol."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"16","DOI":"10.9734\/ajpas\/2022\/v20i130480","article-title":"Chris-Jerry Distribution and Its Applications","volume":"20","author":"Onyekwere","year":"2022","journal-title":"Asian J. Probab. Stat."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.9734\/ajpas\/2019\/v4i130103","article-title":"Odoma distribution and its application","volume":"4","author":"Odom","year":"2019","journal-title":"Asian J. Probab. Stat."},{"key":"ref_4","first-page":"31","article-title":"Bayesian and Non-Bayesian Inference for The Generalized Power Akshaya Distribution with Application in Medical","volume":"2","author":"Tolba","year":"2023","journal-title":"Comput. J. Math. Stat. Sci."},{"key":"ref_5","first-page":"13","article-title":"Bayesian and Non-Bayesian Estimation Methods for Simulating the Parameter of the Akshaya Distribution","volume":"1","author":"Tolba","year":"2022","journal-title":"Comput. J. Math. Stat. Sci."},{"key":"ref_6","first-page":"522","article-title":"Marshall-Olkin Chris-Jerry Distribution and its Applications","volume":"8","author":"Obulezi","year":"2023","journal-title":"Int. J. Innov. Sci. Res. Technol."},{"key":"ref_7","first-page":"244","article-title":"Pranav distribution with properties and its applications","volume":"7","author":"Shukla","year":"2018","journal-title":"Biom. Biostat. Int. J."},{"key":"ref_8","first-page":"18","article-title":"A generalized Akash distribution","volume":"7","author":"Shanker","year":"2018","journal-title":"Biom. Biostat. Int. J."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"391","DOI":"10.59170\/stattrans-2016-023","article-title":"Sujatha distribution and its Applications","volume":"17","author":"Shanker","year":"2016","journal-title":"Stat. Transit. New Ser."},{"key":"ref_10","first-page":"130","article-title":"Acquisition of Resistance in Guinea Pies infected with Different Doses of Virulent Tubercle Bacilli","volume":"72","author":"Bjerkedal","year":"1960","journal-title":"Am. J. Hyg."},{"key":"ref_11","first-page":"103","article-title":"Theoretical Study of Four-Parameter Odd-Generalized Exponential-Pareto Distribution","volume":"2","author":"Yahaya","year":"2019","journal-title":"Ann. Stat. Theory Appl. ASTA"},{"key":"ref_12","first-page":"740","article-title":"Two-parameter Odoma distribution with applications","volume":"14","author":"Enogwe","year":"2020","journal-title":"J. Xidian Univ."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1301","DOI":"10.1080\/00949650802261095","article-title":"Reliability estimation of generalized inverted exponential distribution","volume":"79","author":"Abouammoh","year":"2009","journal-title":"J. Stat. Comput. Simul."},{"key":"ref_14","first-page":"46","article-title":"Shukla distribution and its Application","volume":"14","author":"Shukla","year":"2019","journal-title":"Reliab. Theory Appl."},{"key":"ref_15","first-page":"74","article-title":"A Two-Parameter Pranav Distribution with Properties and Its Application","volume":"5","author":"Umeh","year":"2019","journal-title":"J. Biostat. Epidemiol."},{"key":"ref_16","first-page":"98","article-title":"Inverse Ishita Distribution: Properties and Applications","volume":"16","author":"Shukla","year":"2021","journal-title":"Reliab. Theory Appl."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1080\/00949658808811068","article-title":"Least-squares estimation of distribution functions in Johnson\u2019s translation system","volume":"29","author":"Swain","year":"1988","journal-title":"J. Stat. Comput. Simul."},{"key":"ref_18","first-page":"197","article-title":"Some Inferences on Three Parameters Birnbaum-Saunders Distribution: Statistical Properties, Characterizations and Applications","volume":"2","author":"Shakil","year":"2023","journal-title":"Comput. J. Math. Stat. Sci."},{"key":"ref_19","first-page":"80","article-title":"Chen Burr-Hatke exponential distribution: Properties, regressions and biomedical applications","volume":"2","author":"Abubakari","year":"2023","journal-title":"Comput. J. Math. Stat. Sci."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/s41872-017-0022-8","article-title":"Acceptance sampling plans for inverse Weibull distribution based on truncated life test","volume":"6","author":"Singh","year":"2017","journal-title":"Life Cycle Reliab. Saf. Eng."},{"key":"ref_21","first-page":"221","article-title":"The Harris Extended Bilal Distribution with Applications in Hydrology and Quality Control","volume":"3","author":"Maya","year":"2023","journal-title":"Appl. Math."},{"key":"ref_22","unstructured":"Varian, H.R. (1975). Studies in Bayesian Econometric and Statistics in Honor of Leonard J. Savage, North Holland."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1393","DOI":"10.1080\/00949655.2010.486762","article-title":"Bayesian analysis for the two-parameter Pareto distribution based on record values and times","volume":"81","author":"Doostparast","year":"2011","journal-title":"J. Stat. Comput. Simul."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1080\/03610929608831715","article-title":"Point estimation under asymmetric loss functions for left-truncated exponential samples","volume":"25","author":"Calabria","year":"1996","journal-title":"Commun. Stat. Theory Methods"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"143","DOI":"10.3758\/s13423-016-1015-8","article-title":"A simple introduction to Markov Chain Monte\u2013Carlo sampling","volume":"25","author":"Ravenzwaaij","year":"2018","journal-title":"Psychon. Bull. Rev."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1109\/TR.1978.5220427","article-title":"The Burr distribution as a failure model from a Bayesian approach","volume":"27","author":"Papadopoulos","year":"1978","journal-title":"IEEE Trans. Reliab."},{"key":"ref_27","first-page":"36","article-title":"The Exponentiated Inverted Exponential Distribution","volume":"5","author":"Fatima","year":"2017","journal-title":"J. Appl. Inf. Sci. Vol."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Andrews, D.F., and Herzberg, A.M. (1985). Stress-rupture life of kevlar 49\/epoxy spherical pressure vessels. Data, 181\u2013186.","DOI":"10.1007\/978-1-4612-5098-2_30"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/10\/1881\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T21:02:14Z","timestamp":1760130134000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/10\/1881"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,6]]},"references-count":28,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2023,10]]}},"alternative-id":["sym15101881"],"URL":"https:\/\/doi.org\/10.3390\/sym15101881","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10,6]]}}}