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Volume 58, 2024 - Issue 2
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Research Article

A new Marshall-Olkin lomax distribution with application using failure and insurance data

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Pages 450-472 | Received 06 Sep 2023, Accepted 28 Mar 2024, Published online: 16 Apr 2024

References

  • Marshall AW, Olkin I. A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika. 1997;84(3):641–652. doi: 10.1093/biomet/84.3.641
  • Azzalini A. A class of distributions which includes the normal ones. Scand J Stat. 1985;12:171–178.
  • Yousof HM, Afify AZ, Nadarajah S, et al. The Marshall-Olkin generalized-G family of distributions with applications. Statistica. 2018;78(3):273–295.
  • Cordeiro GM, Ortega EM, da Cunha DC. The exponentiated generalized class of distributions. J Data Sci. 2013;11(1):1–27. doi: 10.6339/JDS.2013.11(1).1086
  • Korkmaz MC, Genc AI. A new generalized two-sided class of distributions with an emphasis on two-sided generalized normal distribution. Commun Stat-Simul Comput. 2017;46(2):1441–1460. doi: 10.1080/03610918.2015.1005233
  • Alizadeh M, Yousof HM, Rasekhi M, et al. The odd log-logistic poisson-G family of distributions. J Math Ext. 2018;12(1):81–104.
  • Mansour MM, Elrazik E, Afify A, et al. The transmuted transmuted-G family: properties and applications. J Nonlinear Sci Appl. 2019;12:217–229. doi: 10.22436/jnsa
  • Nadarajah S, Cordeiro GM, Ortega EM. General results for the Kumaraswamy-G distribution. J Stat Comput Simul. 2012;82(7):951–979. doi: 10.1080/00949655.2011.562504
  • Cordeiro GM, Ortega EM, Popovic BV, et al. The Lomax generator of distributions: properties, minification process and regression model. Appl Math Comput. 2014;247:465–486.
  • Ristic MM, Balakrishnan N. The gamma-exponentiated exponential distribution. J Stat Comput Simul. 2012;82(8):1191–1206. doi: 10.1080/00949655.2011.574633
  • Tahir MH, Nadarajah S. Parameter induction in continuous univariate distributions: well-established G families. An Acad Bras Cienc. 2015;87:539–568. doi: 10.1590/0001-3765201520140299
  • Tahir MH, Cordeiro GM, Alzaatreh A, et al. The logistic-X family of distributions and its applications. Commun Stat Theory Methods. 2016;45(24):7326–7349. doi: 10.1080/03610926.2014.980516
  • Cordeiro GM, Alizadeh M, Ozel G, et al. The generalized odd log-logistic family of distributions: properties, regression models and applications. J Stat Comput Simul. 2017;87(5):908–932. doi: 10.1080/00949655.2016.1238088
  • Afify AZ, Cordeiro GM, Ibrahim NA, et al. The Marshall-Olkin odd Burr III-G family: theory, estimation, and engineering applications. IEEE Access. 2020;9:4376–4387. doi: 10.1109/ACCESS.2020.3044156
  • Khaleel MA, Oguntunde PE, Al Abbasi JN, et al. The Marshall-Olkin topp Leone-G family of distributions: a family for generalizing probability models. Sci Afr. 2020;8:e00470.
  • Reyad H, Alizadeh M, Jamal F, et al. The topp Leone odd Lindley-G family of distributions: properties and applications. J Stat Manage Syst. 2018;21(7):1273–1297.
  • Gilchrist WG. Statistical modelling with quantile functions. Boca Raton, FL, USA: Chapman Hall/CRC; 2000.
  • MacDonald IL. Does Newton-Raphson really fail. Stat Methods Med Res. 2014;23(3):308–311. doi: 10.1177/0962280213497329
  • Pogany TK, Saboor A, Provost S. The Marshall-Olkin exponential Weibull distribution. Hacet J Math Stat. 2015;44(6):1579–1594.
  • Andrews DF, Herzberg AM. Data: a collection of problems from many fields for the student and research worker. UK: Springer Science Business Media; 2012.
  • Barlow RE, Toland RH, Freeman T. A Bayesian analysis of stress-rupture life of kevlar 49/epoxy spherical pressure vessels. In: Proc. Conference on Applications of Statistics, Marcel Dekker, New York, 1984, May.
  • Murthy DNP, Xie M, Jiang R. Weibull models. New York, NY, USA: John Wiley and Sons; 2004. (Wiley Series in Probability and Statistics).
  • El-Bassiouny AH, Abdo NF, Shahen HS. Exponential lomax distribution. Int J Comput Appl. 2015;121(13):24–29.
  • Rady EHA, Hassanein WA, Elhaddad TA. The power Lomax distribution with an application to bladder cancer data. SpringerPlus. 2016;5:1–22. doi: 10.1186/s40064-016-3464-y
  • Hassan AS, Abd-Allah M. On the inverse power Lomax distribution. Ann Data Sci. 2019;6:259–278. doi: 10.1007/s40745-018-0183-y
  • Oguntunde PE, Khaleel MA, Okagbue HI, et al. The Topp-Leone Lomax (TLLo) distribution with applications to airbone communication transceiver dataset. Wirel Pers Commun. 2019;109:349–360. doi: 10.1007/s11277-019-06568-8
  • Balkema AA, De Haan L. Residual life time at great age. Ann Probab. 1974;2(5):792–804. doi: 10.1214/aop/1176996548
  • Hardy MR. An introduction to risk measures for actuarial applications. SOA Syllabus Study Note; 19, 2006.
  • Artzner P. Application of coherent risk measures to capital requirements in insurance. N Am Actuar J. 1999;3(2):11–25. doi: 10.1080/10920277.1999.10595795
  • Artzner P, Delbaen F, Eber JM, et al. Coherent measures of risk. Math Fin. 1999;9(3):203–228. doi: 10.1111/mafi.1999.9.issue-3
  • Ameeq M, Tahir MH, Hassan MM, et al. A group acceptance sampling plan truncated life test for alpha power transformation inverted perks distribution based on quality control reliability. Cogent Eng. 2023;10(1):2224137. doi: 10.1080/23311916.2023.2224137
  • Ahmed B, Ali MM, Yousof HM. A Novel G family for single acceptance sampling plan with application in quality and risk decisions. Ann Data Sci. 2022;11:1–19.
  • Naz S, Tahir MH, Jamal F, et al. A group acceptance sampling plan based on flexible new Kumaraswamy exponential distribution: an application to quality control reliability. Cogent Eng. 2023;10(2):2257945. doi: 10.1080/23311916.2023.2257945
  • Aslam M, Kundu D, Ahmad M. Time truncated acceptance sampling plans for generalized exponential distribution. J Appl Stat. 2010;37(4):555–566. doi: 10.1080/02664760902769787
  • Imran M, Bakouch HS, Tahir MH, et al. A new Bell-exponential model: properties and applications. Cogent Eng. 2023;10(2):2281062. doi: 10.1080/23311916.2023.2281062
  • Hussain N, Tahir MH, Jamal F, et al. An acceptance sampling plan for the odd exponential-logarithmic Fréchet distribution: applications to quality control data. Cogent Eng. 2024;11(1):2304497. doi: 10.1080/23311916.2024.2304497
  • Kanwal S, Tahir MH, Jamal F, et al. A weighted Weibull detection model for line transect sampling: application on wooden stake perpendicular distance data. Cogent Eng. 2024;11(1):2303237. doi: 10.1080/23311916.2024.2303237
  • Hassan MM, Ameeq M, Fatima L, et al. Assessing socio-ecological factors on caesarean section and vaginal delivery: an extended perspective among women of South-Punjab, Pakistan. J Psychosom Obstet Gynecol. 2023;44(1):2252983. doi: 10.1080/0167482X.2023.2252983
  • Hassan MM, Tahir MH, Ameeq M, et al. Risk factors identification of COVID-19 patients with chronic obstructive pulmonary disease: A retrospective study in Punjab-Pakistan. Immun Inflamm Dis. 2023;11(8):1–9. doi: 10.1002/iid3.v11.8
  • Muneeb Hassan M, Ameeq M, Jamal F, et al. Prevalence of covid-19 among patients with chronic obstructive pulmonary disease and tuberculosis. Ann Med. 2023;55(1):285–291. doi: 10.1080/07853890.2022.2160491
  • Ahelegbey DF, Giudici P, Mojtahedi F. Tail risk measurement in crypto-asset markets. Int Rev Fin Anal. 2021;73:101604. doi: 10.1016/j.irfa.2020.101604
  • Agosto A, Campmas A, Giudici P, et al. Monitoring COVID-19 contagion growth. Stat Med. 2021;40(18):4150–4160. doi: 10.1002/sim.v40.18

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