Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 46 Issue: 2

A new family of distributions

Sayfa
—
Yayın Tarihi
2017-04-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A real data is given to illustrate the capability of ALT- Exponential distribution for modelling real data.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, a new family of distributions is introduced which is called alpha log-transformation family.
📊
Temel Bulgular & Veri:Several properties of the proposed distribution including the raw moments, moment generating function, quantile function and hazard rate function are obtained.
💡
Sonuç & Katkı:A real data is given to illustrate the capability of ALT- Exponential distribution for modelling real data.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Confidence intervals · Estimation · Fisher information

Abstract

In this study, a new family of distributions is introduced which is called alpha log-transformation family. We consider a special case of this family with exponential distribution in details. Several properties of the proposed distribution including the raw moments, moment generating function, quantile function and hazard rate function are obtained. Statistical inference is discussed based on complete and progressive censored samples. Simulation study is also performed to observe the performance of the estimates and approximate confidence intervals. A real data is given to illustrate the capability of ALT- Exponential distribution for modelling real data.

🔖

Bu Makaleye Atıf Yap

Karakaya, K., Kınacı, İ., Kuş, C., Akdo‡ğan, Y. (2017). A new family of distributions. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 2. https://ajindex.com/articles/1403054

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. Akinsete A., Famoye, F. and Lee, C., The Beta-Pareto distribution, Statistics, 42(6), 547- 563, 2008.
  2. Bairamov, I. and Eryılmaz, S. Spacings, exceedances and concomitants in progressive type II censoring scheme. Journal of Statistical Planning and Inference, 136, 527-536, 2006.
  3. Balakrishnan, N. and Aggarwala, R. Progressive Censoring: Theory, Methods and Applica- tions. Birkhauser, Boston, 2000.
  4. Balakrishnan, N. and Sandhu, R.A. A simple algorithm for generating progressively type-II generated samples, American Statistician, 49, 229-230, 1995.
  5. Cooray, K. and Ananda, M. M. A., A generalization of the half-normal distribution with applications to lifetime data, Comm. Statist. Theory Methods, 37, 13231337, 2008.
  6. Feigl, P. and Zelen, M., Estimation of exponential survival probabilities with concomitant information., Biometrics 21, 4, 826838, 1965.
  7. Gupta, R. D. and Kundu, D., A new class of weighted exponential distributions, Statistics, 43(6), 621634, 2009.
  8. Kus, C., A new lifetime distribution, Comput. Statist. Data Anal. 51, 44974509, 2007.
  9. Lagarias, J. C., J. A. Reeds, M. H. Wright, and P. E. Wright "Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions." SIAM Journal of Optimization. Vol. 9, Number 1, pp. 112147, 1998.
  10. Mahdavi, A. and Kundu, D., A new method for generating distributions with an application to exponential distribution, Comm. Statist. Theory Methods, http://dx.doi.org/10.1080/03610926.2015.1130839, In press.
  11. Mudholkar, G. S. and Srivastava, D. K., Exponentiated weibull family for analyzing bathtub failure-rate data, IEEE Transactions on Reliability, 42(2), 299302, 1993.
  12. Pescim, R. R., Demetrio, C. G. B., Cordeiro, G.M., Ortega, E. M. M. and Urbano, M.R., The Beta generalized half-Normal distribution., Comput. Statist. Data Anal., 54, 945957, 2009.
  13. Torabi, H. and Montazeri, N.H.,.The Gamma-Uniform Distribution and its applications. Kybernetika, 48(1) 16-30, 2012.
  14. Pescim, R. R., Demetrio, C. G. B., Cordeiro, G.M., Ortega, E. M. M. and Urbano, M.R., The Beta generalized half-Normal distribution., Comput. Statist. Data Anal., 54, 945957, 2009.