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Year 2023, Volume: 41 Issue: 2, 276 - 287, 30.04.2023

Kadir Karakaya İsmail Kınacı Coşkun Kuş Yunus Akdoğan

Abstract

References

  • REFERENCES
  • [1] Karakaya K, Kınacı I, Kus C, Akdogan Y. A new family of distributions. Hacettepe J Math Stat 2017;46:303−314. [CrossRef]
  • [2] Tanış C, Saracoglu B, Kus C, Pekgor A, Karakaya K. Transmuted lower record type Frechet distribu-tion with lifetime regression analysis based on type I-censored data. J Stat Theory Appl 2021;20:86−96. [CrossRef]
  • [3] Kınacı I, Kus C, Karakaya K, Akdogan Y. APT-pareto distribution and its properties. Cumhuriyet Sci J 2019;40:378−387. [CrossRef]
  • [4] Karakaya K, Kınacı I, Kus C, Akdogan Y. On the DUS-kumaraswamy distribution. Istatistik J Turkish Stat Assoc 2021;13:29−38.
  • [5] Tanıs C, Saracoglu B. On the record-based trans-muted model of Balakrishnan and He based on weibull distribution. Commun Stat Simul 2022;51:1−21.
  • [6] Adamidis K, Loukas S. A lifetime distribution with decreasing failure rate. Statist Probab Lett 1998;39:35−42. [CrossRef]
  • [7] Kus C. A new lifetime distribution. Comput Stat Data Anal 2007;51:4497−4509. [CrossRef]
  • [8] Tahmasbi R, Rezaei S. A two-parameter lifetime distribution with decreasing failure rate. Comput Statist Data Anal 2008;52:3889−3901. [CrossRef]
  • [9] Bakouch HS, Ristic MM, Asgharzadeh A, Esmaily L, Al-Zahrani BM. An exponentiated exponential binomial distribution with application. Stat Probab Lett. 2012;82:1067−1081. [CrossRef]
  • [10] Barreto-Souza W, Morais AL, Cordeiro GM. The Weibull-geometric distribution. J Stat Comput Simul 2011;81:645−657. [CrossRef]
  • [11] Gupta RC, Huang J. The Weibull-Conway-Maxwell-Poisson distribution to analyze survival data. J Comput Appl Math 2017;311:171−182. [CrossRef]
  • [12] Nekoukhou V, Bidram H. A new generalization of the Weibull-geometric distribution with bath-tub failure rate. Commun Stat Theory Methods 2017;46:4296−4310. [CrossRef]
  • [13] Shi D, Lu W. A new compounding life distribu-tion: the Weibull-Poisson distribution. J Appl Stat 2012;39:21−38. [CrossRef]
  • [14] Canuto C, Hussaini MY, Quarteroni A, Zang TA. Spectral Methods: Fundamentals in Single Domains. 1st ed. New York: Springer-Verlag; 2006. [CrossRef]
  • [15] Bonferroni CE. Elmenti di statistica generale. Firenze: Libreria Seber; 1930. [Italian]
  • [16] Shaked M, Shanthikumar JG. Stochastic Orders. 1st ed. New York: Springer; 2007. [CrossRef]
  • [17] Lee E, Wang J. Statistical methods for survival data analysis. 1st ed. New York: Wiley and Sons; 2003.[CrossRef]
  • [18] Ghitany ME, Atieh B, Nadarajah S. Lindley distri-bution and its application. Math Comput Simul 2008;78:493−506. [CrossRef]
  • [19] Afify A, Yousof H, Nadarajah S. The beta trans-muted-H family for lifetime data. Stat Interface 2017;10:505−520. [CrossRef]

A new distribution with four parameters: Properties and applications

Year 2023, Volume: 41 Issue: 2, 276 - 287, 30.04.2023

Kadir Karakaya İsmail Kınacı Coşkun Kuş Yunus Akdoğan

Abstract

In this paper, a new lifetime distribution called compounded geometric-mixture exponential distribution is proposed by compounding the mixture exponential and geometric distribu-tions. Some properties of the new distribution such as survival function, hazard function, mo-ments, Lorenz and Bonferroni curves, etc. are obtained. The estimations of four parameters of the new model are studied by several methods. A Monte Carlo simulation study is performed to understand the behavior of estimators. Two real data applications are also provided.

Keywords

Compound Distributions Estimation Geometric Distribution Mixture Exponential Distribution

References

  • REFERENCES
  • [1] Karakaya K, Kınacı I, Kus C, Akdogan Y. A new family of distributions. Hacettepe J Math Stat 2017;46:303−314. [CrossRef]
  • [2] Tanış C, Saracoglu B, Kus C, Pekgor A, Karakaya K. Transmuted lower record type Frechet distribu-tion with lifetime regression analysis based on type I-censored data. J Stat Theory Appl 2021;20:86−96. [CrossRef]
  • [3] Kınacı I, Kus C, Karakaya K, Akdogan Y. APT-pareto distribution and its properties. Cumhuriyet Sci J 2019;40:378−387. [CrossRef]
  • [4] Karakaya K, Kınacı I, Kus C, Akdogan Y. On the DUS-kumaraswamy distribution. Istatistik J Turkish Stat Assoc 2021;13:29−38.
  • [5] Tanıs C, Saracoglu B. On the record-based trans-muted model of Balakrishnan and He based on weibull distribution. Commun Stat Simul 2022;51:1−21.
  • [6] Adamidis K, Loukas S. A lifetime distribution with decreasing failure rate. Statist Probab Lett 1998;39:35−42. [CrossRef]
  • [7] Kus C. A new lifetime distribution. Comput Stat Data Anal 2007;51:4497−4509. [CrossRef]
  • [8] Tahmasbi R, Rezaei S. A two-parameter lifetime distribution with decreasing failure rate. Comput Statist Data Anal 2008;52:3889−3901. [CrossRef]
  • [9] Bakouch HS, Ristic MM, Asgharzadeh A, Esmaily L, Al-Zahrani BM. An exponentiated exponential binomial distribution with application. Stat Probab Lett. 2012;82:1067−1081. [CrossRef]
  • [10] Barreto-Souza W, Morais AL, Cordeiro GM. The Weibull-geometric distribution. J Stat Comput Simul 2011;81:645−657. [CrossRef]
  • [11] Gupta RC, Huang J. The Weibull-Conway-Maxwell-Poisson distribution to analyze survival data. J Comput Appl Math 2017;311:171−182. [CrossRef]
  • [12] Nekoukhou V, Bidram H. A new generalization of the Weibull-geometric distribution with bath-tub failure rate. Commun Stat Theory Methods 2017;46:4296−4310. [CrossRef]
  • [13] Shi D, Lu W. A new compounding life distribu-tion: the Weibull-Poisson distribution. J Appl Stat 2012;39:21−38. [CrossRef]
  • [14] Canuto C, Hussaini MY, Quarteroni A, Zang TA. Spectral Methods: Fundamentals in Single Domains. 1st ed. New York: Springer-Verlag; 2006. [CrossRef]
  • [15] Bonferroni CE. Elmenti di statistica generale. Firenze: Libreria Seber; 1930. [Italian]
  • [16] Shaked M, Shanthikumar JG. Stochastic Orders. 1st ed. New York: Springer; 2007. [CrossRef]
  • [17] Lee E, Wang J. Statistical methods for survival data analysis. 1st ed. New York: Wiley and Sons; 2003.[CrossRef]
  • [18] Ghitany ME, Atieh B, Nadarajah S. Lindley distri-bution and its application. Math Comput Simul 2008;78:493−506. [CrossRef]
  • [19] Afify A, Yousof H, Nadarajah S. The beta trans-muted-H family for lifetime data. Stat Interface 2017;10:505−520. [CrossRef]
There are 20 citations in total.

Details

Primary Language English
Subjects Software Testing, Verification and Validation
Journal Section Research Articles
Authors

Kadir Karakaya 0000-0002-0781-3587

İsmail Kınacı This is me 0000-0002-0992-4133

Coşkun Kuş 0000-0002-7176-0176

Yunus Akdoğan 0000-0003-3520-7493

Publication Date April 30, 2023
Submission Date April 12, 2021
Published in Issue Year 2023 Volume: 41 Issue: 2

Cite

Vancouver Karakaya K, Kınacı İ, Kuş C, Akdoğan Y. A new distribution with four parameters: Properties and applications. SIGMA. 2023;41(2):276-87.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/