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DOI :10.26650/ekoist.2020.33.810417   IUP :10.26650/ekoist.2020.33.810417    Tam Metin (PDF)

On Weibull-Pareto Distribution in Censored and Uncensored Data Structures

Kamil AlakuşNecati Alp Erilli

The Weibull distribution gives a flexible measurement that detailsthe probability distribution associated with the lifetime characteristics of a particular part orservice component. Itis commonly used to assess productreliability, analyze life data, and model failure times. It is a versatile distribution that can take on the characteristics of other types of distributions, based on the value of the shape parameter. Weibull-Pareto distribution has been introduced as a new type of application of the Weibull distribution. In this article, point and interval estimations for Weibull-Pareto distribution with censored and uncensored data are investigated. With real-time data applications, it is shown that Weibull-Pareto results are better against Exponential, Gamma, and Weibull distributions’ results.

JEL Classification : C34 , C02

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Referanslar

  • Akaike, H. (1970). Statistical Predictor Identification, Annals of the Institute of Statistical Mathematics, 22, 203-217. google scholar
  • Akgul F.G., Şenoğlu B. and Arslan T. (2016). An alternative distribution to Weibull for modeling the wind speed data: Inverse Weibull distribution. Energy Conversion and Management, 114, p:234-240. google scholar
  • Alzaatreh, A., Famoye, F., Lee, C. (2013a) Weibull-Pareto Distribution and Its Applications. Communications in Statistics - Theory and Methods. 42:9, 1673-1691. google scholar
  • Alzaatreh, A., Lee, C., Famoye, F. (2013b) A new method for generating families of continuous distributions. Metron: International Journal of Statistics, 71: 63-79. google scholar
  • Bjerkedal T (1960) Acquisition of resistance in guinea pigs infected with different doses of virulent tubercle bacilli. Am J Hyg 72: 130-148. google scholar
  • Efron B (1988) Logistic regression, survival analysis and the Kaplan-Meier curve. Journal of the American Statistical Association 83(402):414-425. google scholar
  • Famoye, F., Lee, C., Olumolade, O. (2005). The beta-weibull distribution. J. Statist. Theor. Appl. 4(2):121–136. He B., Cui W. and Du X. (2016). An additive modified Weibull distribution. Reliability Engineering and System Safety, 145, p:28-37. google scholar
  • Hurvich, C.M. ve Tsai, C. (1989). Regression and Time Series Model Selection in Small Samples, Biometrika, 76, 297-307. google scholar
  • Kalbfleisch, J. D. and Prentice, R. L. (1980). The Statistical Analysis of Failure Time Data. NY: Wiley & Sons. First Edition, Appendix I, pp. 230-32. google scholar
  • Mudholkar, G. S., Kollia, G. D. (1994). Generalized Weibull family: A structural analysis. Commun. Statist. Theor. Meth. 23(4):1149–1171. google scholar
  • Mudholkar, G. S., Srivastava, D. K., Freimer, M. (1995). The exponentiated Weibull family: a reanalysis of the bus-motor-failure data. Technometrics 37(4):436–445. google scholar
  • Nasiru, S. and Luguterah, A. (2015). The New Weibull-Pareto Distribution. Pak. J. Stat.Oper.Res., 11(1), 103-114. google scholar
  • Schwarz, G. (1978). Estimating the Dimensions of a Model, The Annals of Statistics, 6, 461-464. google scholar
  • Weibull, W. (1951). Statistical distribution function of wide applicability. Journal of Applied Mechanics, 18, 292-297. google scholar

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DIŞA AKTAR



APA

Alakuş, K., & Erilli, N.A. (2020). On Weibull-Pareto Distribution in Censored and Uncensored Data Structures. EKOIST Journal of Econometrics and Statistics, 0(33), 1-11. https://doi.org/10.26650/ekoist.2020.33.810417


AMA

Alakuş K, Erilli N A. On Weibull-Pareto Distribution in Censored and Uncensored Data Structures. EKOIST Journal of Econometrics and Statistics. 2020;0(33):1-11. https://doi.org/10.26650/ekoist.2020.33.810417


ABNT

Alakuş, K.; Erilli, N.A. On Weibull-Pareto Distribution in Censored and Uncensored Data Structures. EKOIST Journal of Econometrics and Statistics, [Publisher Location], v. 0, n. 33, p. 1-11, 2020.


Chicago: Author-Date Style

Alakuş, Kamil, and Necati Alp Erilli. 2020. “On Weibull-Pareto Distribution in Censored and Uncensored Data Structures.” EKOIST Journal of Econometrics and Statistics 0, no. 33: 1-11. https://doi.org/10.26650/ekoist.2020.33.810417


Chicago: Humanities Style

Alakuş, Kamil, and Necati Alp Erilli. On Weibull-Pareto Distribution in Censored and Uncensored Data Structures.” EKOIST Journal of Econometrics and Statistics 0, no. 33 (May. 2024): 1-11. https://doi.org/10.26650/ekoist.2020.33.810417


Harvard: Australian Style

Alakuş, K & Erilli, NA 2020, 'On Weibull-Pareto Distribution in Censored and Uncensored Data Structures', EKOIST Journal of Econometrics and Statistics, vol. 0, no. 33, pp. 1-11, viewed 3 May. 2024, https://doi.org/10.26650/ekoist.2020.33.810417


Harvard: Author-Date Style

Alakuş, K. and Erilli, N.A. (2020) ‘On Weibull-Pareto Distribution in Censored and Uncensored Data Structures’, EKOIST Journal of Econometrics and Statistics, 0(33), pp. 1-11. https://doi.org/10.26650/ekoist.2020.33.810417 (3 May. 2024).


MLA

Alakuş, Kamil, and Necati Alp Erilli. On Weibull-Pareto Distribution in Censored and Uncensored Data Structures.” EKOIST Journal of Econometrics and Statistics, vol. 0, no. 33, 2020, pp. 1-11. [Database Container], https://doi.org/10.26650/ekoist.2020.33.810417


Vancouver

Alakuş K, Erilli NA. On Weibull-Pareto Distribution in Censored and Uncensored Data Structures. EKOIST Journal of Econometrics and Statistics [Internet]. 3 May. 2024 [cited 3 May. 2024];0(33):1-11. Available from: https://doi.org/10.26650/ekoist.2020.33.810417 doi: 10.26650/ekoist.2020.33.810417


ISNAD

Alakuş, Kamil - Erilli, NecatiAlp. On Weibull-Pareto Distribution in Censored and Uncensored Data Structures”. EKOIST Journal of Econometrics and Statistics 0/33 (May. 2024): 1-11. https://doi.org/10.26650/ekoist.2020.33.810417



ZAMAN ÇİZELGESİ


Gönderim14.10.2020
Kabul17.12.2020
Çevrimiçi Yayınlanma15.01.2021

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