Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Volume: 48 Issue: 6

Inference for the linear combination of two independent exponential random variables based on fuzzy data

Hina Basharat(PMAS Arid Agriculture University)0000-0002-8120-9089
Saima Mustafa(PMAS Arid Agriculture University)0000-0002-0584-1445
Shahid Mahmood(Sarhad University of Science & IT)0000-0002-7222-8181
Young Bae Jun(Gyeongsang National University)0000-0002-0181-8969
Sayfa
—
Yayın Tarihi
2019-12-08
🏛️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)

The proposed research consisted in developing an estimation technique using fuzzy logic and this is often measured in terms of linguistic values, which is very helpful and beneficial for the certain and precise results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article, we have derived the distribution of a linear combination of two independent exponential random variables.
📊
Temel Bulgular & Veri:The parameter estimates of the proposed distribution are obtained by using the maximum likelihood estimation method and the method of moments from fuzzy data.
💡
Sonuç & Katkı:The proposed research consisted in developing an estimation technique using fuzzy logic and this is often measured in terms of linguistic values, which is very helpful and beneficial for the certain and precise results.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Linear combination · Exponential distribution · Parameter estimation

Abstract

In this article, we have derived the distribution of a linear combination of two independent exponential random variables. The parameter estimates of the proposed distribution are obtained by using the maximum likelihood estimation method and the method of moments from fuzzy data. The findings in this paper show that estimation expertise is still valuable to any organization based on the precise and certain information. The proposed research consisted in developing an estimation technique using fuzzy logic and this is often measured in terms of linguistic values, which is very helpful and beneficial for the certain and precise results.

🔖

Bu Makaleye Atıf Yap

Basharat, H., Mustafa, S., Mahmood, S., Jun, Y. B. (2019). Inference for the linear combination of two independent exponential random variables based on fuzzy data. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 6. https://doi.org/10.15672/hujms.470452

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (11)

  1. T. Denoeux, Maximum likelihood estimation from fuzzy data using the EM algorithm, Fuzzy Sets and Systems 183 (1), 72-91, 2011.
  2. T.E. Dalkilic and K.S. Kula, Parameter Estimation for Pareto Distribution and Type- II Fuzzy Logic, Gazi University Journal of Science 30 (1), 251-258, 2017.
  3. R.A. Fisher, On the Mathematical Foundations of Theoretical Statistics, Philos. Trans. Roy. Soc. A 222, 309-368, 1922.
  4. A.H. Joarder, M.H. Omar and A.K. Gupta, The Distribution of a Linear Combination of Two Correlated Chi-Square Variables, Revista Colombiana de Estadistica 36 (2), 209-219, 2013.
  5. B.M.G. Kibria and S. Nadarajah, Reliability Modeling: Linear Combination and Ratio of Exponential and Rayleigh, IEEE Transactions On Reliability 56 (1), 102-105, 2007.
  6. N.B. Khoolenjani and F. Shahsanaie, Estimating the parameter of Exponential distribution under Type-II censoring from fuzzy data, J. Stat. Theory Appl. 15 (2), 181-195, 2016.
  7. S. Nadarajah and S. Kotz, On the Linear Combination of Exponential and Gamma Random Variables, Entropy 7 (2), 161-171, 2005.
  8. A. Pak, G.A. Parham and M. Saraj, Inference for the Weibull Distribution Based on Fuzzy Data, Revista Colombiana de Estadistica 36 (2), 337-356, 2013.
  9. A. Pak, Statistical Inference for the parameter of Lindley distribution based on fuzzy data, Braz. J. Probab. Stat. (2), 1-16, 2016.
  10. M. Shakil and B.M.G. Kibria, Exact Distributions of the Linear Combination of Gamma and Rayleigh Random Variables, Austrian Journal of Statistics 38 (1), 33- 44, 2009.
  11. L.A. Zadeh, Probability Measures of Fuzzy Events, J. Math. Anal. Appl. 23, 421-427, 1968.