A New One Parameter Continuous Distribution using Three Component Distributions with Application to Real Life Data

Autori

  • George A. Osuji Statistics Department, Faculty of Physical Sciences, Nnamdi Azikiwe University Awka Nigeria
  • Otti E Emmanuel Mathematics Department, Faculty of Physical Sciences, Case Western Reserve University, USA
  • Ifunanya Lydia Omeje Statistics Department, Faculty of Physical Sciences, Nnamdi Azikiwe University Awka Nigeria https://orcid.org/0009-0004-9662-9395
  • Victor C. Chukwunenye Statistics Department, Faculty of Physical Sciences, Nnamdi Azikiwe University Awka Nigeria https://orcid.org/0009-0006-4596-397X
  • Chinelo Ijeoma Nnabude Statistics Department, Faculty of Physical Sciences, Nnamdi Azikiwe University Awka Nigeria https://orcid.org/0009-0005-2320-2064
  • Okoro Chiemeka Nwankwor Industrial Mathematics and Applied Statistics Department, Ebonyi State University, Abakaliki
  • Frederick A. Omoruyi Statistics Department, Faculty of Physical Sciences, Nnamdi Azikiwe University Awka Nigeria https://orcid.org/0000-0001-5225-0341

Cuvinte cheie:

Lifetime distribution, Moments, Hazard rate function, Bonferroni and Lorenz curves, Order statistics, Estimation of parameter, Goodness of fit

Rezumat

A new one parameter lifetime distribution named “Fuyi distribution” for modeling lifetime data has been introduced. Some important mathematical properties of the proposed distribution including its shape, moments, skewness, kurtosis, coefficient of dispersion, index dispersion, quantile function, stochastic ordering, Bonferroni and Lorenz curves, moment generating function, characteristics function, distribution of ordered statistics, Renyi entropy measure, survival and hazard rate function, stress-strength reliability have been discussed. The estimation of its parameter has been discussed using maximum likelihood estimation. The usefulness and the applicability of the proposed distribution have been discussed and illustrated with two real lifetime data sets from medical science and environmental.

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Descărcări

Publicat

2024-10-03

Număr

Volum 19 Nr. 4 (2024)

Secțiune

Articles

Licență

Copyright (c) 2024 TWIST

Creative Commons License

Această lucrare este licențiată în temeiul Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Cum cităm

Osuji, G. A., Emmanuel, O. E., Omeje, I. L., Chukwunenye, V. . C., Nnabude, C. I., Nwankwor, O. C., & Omoruyi, F. A. (2024). A New One Parameter Continuous Distribution using Three Component Distributions with Application to Real Life Data. TWIST, 19(4), 27-39. https://twistjournal.net/twist/article/view/379

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