The Alpha Power Muth-G Distributions and Its Applications in Survival and Reliability Analyses

REFERENCES

[1] Afify, A. Z.—Yousof, H. M.—Nadarajah, S.: The beta transmuted-H family of distributions: properties and applications, Stat. Interface 10 (2017), 505–520.10.4310/SII.2017.v10.n3.a13Search in Google Scholar

[2] Alizadeh, M.—Tahir, M. H.—Cordeiro, G. M.—Mansoor, M.—Zubair, M.—Hamedani, G. G.: The Kumaraswamy Marshal-Olkin family of distributions, J. Egyptian Math. Soc. 23(3) (2015), 546–557.10.1016/j.joems.2014.12.002Search in Google Scholar

[3] Alizadeh, M.—Cordeiro, G. M.—Pinho, L. G. B.—Ghosh, I.: The Gompertz-G family of distributions, J. Stat. Theory Pract. 11(1) (2017), 179–207.10.1080/15598608.2016.1267668Search in Google Scholar

[4] Alizadeh, M.—Rasekhi, M.—Yousof, H. M.—Hamedani, G. G.: The transmuted Weibull-G family of distributions, Hacet. J. Math. Stat. 47(6) (2018), 1–20.10.15672/HJMS.2017.440Search in Google Scholar

[5] Alizadeh, M.—Emadi, M.—Doostparast, M.: A new two-parameter lifetime distribution: Properties, applications and different method of estimations, Stat. Optim. Inf. Comput. 7 (2019), 291–310.10.19139/soic.v7i2.653Search in Google Scholar

[6] Alizadeh, M.—Yousof, H. M.—Jahanshahiz, S. M. A.—Najibi, S. M.—Hamedani, G. G.: The transmuted odd log-logistic-G family of distributions, J. Stat. Manag. Syst. 23(4) (2020), 761–787.10.1080/09720510.2019.1685228Search in Google Scholar

[7] Aljarrah, M. A.—Lee, C.—Famoye, F.: On generating T-X family of distributions using quantile functions, J. Stat. Distrib. Appl. 1 (2014), Art. No. 2.10.1186/2195-5832-1-2Search in Google Scholar

[8] Alzaatreh, A.—Famoye, F.—Lee, C.: A new method for generating families of continuous distributions, Metron 71 (2013), 63–79.10.1007/s40300-013-0007-ySearch in Google Scholar

[9] Amini, M.—Mir-Mostafaee, S. M. T. K.—Ahmadi, J.: Log-gamma-generated families of distributions, Statistics 48(4) (2014), 1–20.10.1080/02331888.2012.748775Search in Google Scholar

[10] Aryal, G. R.—Yousof, H. M.: The exponentiated generalized-G poisson family of distributions, Economic Quality Control 32(1) (2017), 1–17.10.1515/eqc-2017-0004Search in Google Scholar

[11] Balakrishnan, N.—Feng, S.—Kin-Yat, L.: Exact likelihood inference for k exponential populations under joint progressive type-II censoring, Comm. Statist. Simulation Comput. 44(3) (2015), 902–923.10.1080/03610918.2013.795594Search in Google Scholar

[12] Bourguignon, B. M.—Silva, R.—Cordeiro, G. M.: The Weibull-G family of probability distributions, J. Data Sci. 12 (2014), 53–68.10.6339/JDS.201401_12(1).0004Search in Google Scholar

[13] Braga, S. A.—Cordeiro, G. M.—Ortega, E. M.—Nilton Da Cruz, J.: The odd log-logistic normal distribution: Theory and applications in analysis of experiments, J. Stat. Theory Pract. 10(2) (2016), 311–335.10.1080/15598608.2016.1141127Search in Google Scholar

[14] Cordeiro, G. M.—De Castro, M.: A new family of generalized distributions, J. Stat. Comput. Simul. 81(7) (2011), 883–898.10.1080/00949650903530745Search in Google Scholar

[15] Doostparast, M.—Ahmadi, M.—Vali-Ahmadi, J.: Bayes estimation based on joint progressive Type-II censored data under LINEX loss function, Comm. Statist. Simulation Comput. 42(8) (2013), 1865–1886.10.1080/03610918.2012.683921Search in Google Scholar

[16] Agu, F. I.—Eghwerido, J. T.—Nziku, C. K.: The alpha power Rayleigh-G family of distributions, Math. Slovaca 72(4) (2022), 1047–1062.10.1515/ms-2022-0073Search in Google Scholar

[17] Eghwerido, J. T.—Agu, F. I.: The shifted Gompertz-G family of distributions: properties, and applications, Math. Slovaca 71(5) (2021), 1291–1308.10.1515/ms-2021-0053Search in Google Scholar

[18] Eghwerido, J. T.—Oguntunde, P. E.— Agu, F. I.: The alpha power Marshall-Olkin-G family of distributions: properties, and applications, Sankhya A 85 (2023), 172–197.10.1007/s13171-020-00235-ySearch in Google Scholar

[19] Eghwerido, J. T.—Zelibe, S. C.—Efe-Eyefia, E.: The transmuted alpha power-G family of distributions, J. Stat. Manag. Syst. 24(5) (2021), 965–1002.10.1080/09720510.2020.1794528Search in Google Scholar

[20] Eghwerido, J. T.: The alpha power Teissier distribution and its applications, Afr. Stat. 16(2) (2021), 2731–2745.10.16929/as/2021.2733.181Search in Google Scholar

[21] Eghwerido, J. T.—Agu, F. I.: The alpha Power Shifted Exponential distribution: properties, and applications, Thailand Statistician 20(4) (2022), 927–841.Search in Google Scholar

[22] Eghwerido, J. T.—Nzei, L. C.—Omotoye, A. E.—Agu, F. I.: The Teissier-G family of distributions: propertiers and applications, Math. Slovaca 72(5) (2022), 1301–1318.10.1515/ms-2022-0089Search in Google Scholar

[23] Eghwerido, J. T.—Agu, F. I.: The statistical properties and applications of the alpha power Topp-Leone-G distribution, Heliyon 8 (2022), Art. ID e09775.10.1016/j.heliyon.2022.e09775Search in Google Scholar PubMed PubMed Central

[24] Eghwerido, J. T.: The Marshall-Olkin Teissier generated model for lifetime data, Journal of the Belarusian State University: Mathematics and Informatics 1 (2022), 46–65.10.33581/2520-6508-2022-1-46-65Search in Google Scholar

[25] El-Bassiouny, A. H.—Abdo, N. F.—Shahen, H. S.: Exponential Lomax distribution, Int. J. Comput. Appl. 121(13) (2015), 24–29.10.5120/21602-4713Search in Google Scholar

[26] Eliwa, M. S.—El-Morshedy, M.: Bivariate Gumbel-G family of distributions: statistical properties, bayesian and non-bayesian estimation with application, Ann. Data Sci. 6 (2019), 39–60.10.1007/s40745-018-00190-4Search in Google Scholar

[27] Famoye, F.—Lee, C.—Olumolade, O.: The Beta-Weibull distribution, J. Stat. Theory Appl. 4(2) (2005), 121–136.Search in Google Scholar

[28] Lemonte, A.—Cordeiro, G.: An extended Lomax distribution, Statistics 47 (2013), 800–816.10.1080/02331888.2011.568119Search in Google Scholar

[29] Mahdavi, A.—Kundu, D.: A new method for generating distributions with an application to exponential distribution, Comm. Statist. Theory Methods 46(13) (2017), 6543–6557.10.1080/03610926.2015.1130839Search in Google Scholar

[30] Marshall, A. W.—Olkin, I.: A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika 84 (1997), 641–652.10.1093/biomet/84.3.641Search in Google Scholar

[31] Murthy, D. P.—Xie, M.—Jiang, R.: Weibull models, John Wiley and Sons, 2004.Search in Google Scholar

[32] National Center for Health Statistics. Health, United States, 2019: Table. Hyattsville, MD. 2021. Available from: https://www.cdc.gov/nchs/hus/contents2019.htm Table-027.Search in Google Scholar

[33] Parsi, S.—Ganjali, M.—Sanjari F. N.: Conditional maximum likelihood and interval estimation for two Weibull populations under joint type-II progressive censoring, Comm. Statist. Theory Methods 40 (2011), 2117–2135.10.1080/03610921003764175Search in Google Scholar

[34] R Core Team (2019). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria.Search in Google Scholar

[35] Rasouli, A.—Balakrishnan, N.: Exact likelihood inference for two exponential populations under joint progressive type-II censoring, Comm. Statist. Theory Methods 39(12) (2010), 2172–2191.10.1080/03610920903009418Search in Google Scholar

[36] Reyad, H. M.—Alizadeh, M.—Jamal, F.—Othman, S.: The Topp Leone odd Lindley-G family of distributions: Properties and applications, J. Stat. Manag. Syst. 21(7) (2018), 1273–1297.10.1080/09720510.2018.1495157Search in Google Scholar

[37] Reyad, H. M.—Alizadeh, M.—Jamal, F.—Othman, S.—Hamedani, G. G.: The exponentiated generalized Topp Leone-G family of distributions: Properties and applications, Pakistan J. Statist. 15(1) (2019), 1–24.10.18187/pjsor.v15i1.2166Search in Google Scholar

[38] Singh, S. V.—Elgarhy, M.—Ahmad, Z.—Sharma, V. K.—Hamedani, G. G.: New class of probability distributions arising from Teissier distribution. In: Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy (Sahni, M., Merig, J. M., Jha, B. K., Verma, R., eds.), Adv. Intell. Syst. Comput. 1287, Springer, 2021.10.1007/978-981-15-9953-8_5Search in Google Scholar

[39] Tahir, M. H.—Cordeiro, G. M.—Alzaatreh, A.—Mansoor, M.—Zubair, M.: The logistic-X family of distributions and its applications, Comm. Statist. Theory Methods 45(24) (2016), 7326–7348.10.1080/03610926.2014.980516Search in Google Scholar

[40] Yousof, H. M.—Afify, A. Z.—Hamedani, G. G.—Aryal, G.: The Burr-X generator of distributions for lifetime data, J. Stat. Theory Appl. 16 (2017), 288–305.10.2991/jsta.2017.16.3.2Search in Google Scholar

[41] Yousof, H. M.—Alizadeh, M.—Jahanshahiand, S. M. A.—Ramires, T. G.—Ghosh, I.—Hamedani, G. G.: The transmuted Topp-Leone-G family of distributions: theory, characterizations and applications, J. Data Sci. 15 (2017), 6723–740.Search in Google Scholar

[42] Yousof, H. M.—Afify, A. Z.—Alizadeh, M.—Nadarajah, S.—Aryal, G. R.–Hamedani, G. G.: The Marshall-Olkin generalized-G family of distributions with applications, Statistica 78(3) (2018), 273–295.Search in Google Scholar