Abstract
The primary motivation behind this study is to precisely predicting the behaviour of the distribution by employing neural networks and enhancing its performance through maximum likelihood estimation. The numerical findings were compared to the predictions derived from the multilayer artificial neural network model developed with seven neurons in the hidden layer. The R value was 0.999 and the deviation values were less than 0.045 for the artificial neural network models. Also, the results of a numerical investigation using maximum likelihood estimation agree exactly with those obtained from predictions made using artificial neural networks. The findings of this study reveal that neural networks might be a very promising tool for clinical data analysis.
References
[1] M. A. Ariana, B. Vaferi and G. Karimi, Prediction of thermal conductivity of alumina water-based nanofluids by artificial neural networks, Powder Technol. 278 (2015), 1–10. 10.1016/j.powtec.2015.03.005Suche in Google Scholar
[2] H. M. Almongy, E. M. Almetwally, H. M. Aljohani, A. S. Alghamdi and E. H. Hafez, A new extended Rayleigh distribution with applications of COVID-19 data, Results Phys. 23 (2021), Article ID 104012. 10.1016/j.rinp.2021.104012Suche in Google Scholar PubMed PubMed Central
[3] M. Bebbington, C. D. Lai and R. Zitikis, A flexible Weibull extension, Reliab. Eng. Syst. Safety 92 (2007), no. 6, 719–726. 10.1016/j.ress.2006.03.004Suche in Google Scholar
[4] H. W. Block, T. H. Savits and H. Singh, The reversed hazard rate function, Probab. Engrg. Inform. Sci. 12 (1998), no. 1, 69–90. 10.1017/S0269964800005064Suche in Google Scholar
[5] N. K. Chandra and D. Roy, Some results on reversed hazard rate, Probab. Engrg. Inform. Sci. 15 (2001), no. 1, 95–102. 10.1017/S0269964801151077Suche in Google Scholar
[6] A. B. Çolak, T. N. Sindhu, S. A. Lone, M. T. Akhtar and A. Shafiq, A comparative analysis of maximum likelihood estimation and artificial neural network modeling to assess electrical component reliability, Qual. Reliab. Eng. Int. 40 (2024), no. 1, 91–114. 10.1002/qre.3233Suche in Google Scholar
[7] G. M. Cordeiro, E. M. M. Ortega and S. Nadarajah, The Kumaraswamy Weibull distribution with application to failure data, J. Franklin Inst. 347 (2010), no. 8, 1399–1429. 10.1016/j.jfranklin.2010.06.010Suche in Google Scholar
[8] J. Ferrero Bermejo, J. F. Gómez Fernández, F. Olivencia Polo and A. Crespo Márquez, A review of the use of artificial neural network models for energy and reliability prediction, Appl. Sci. 9 (2019), no. 9, Article ID 1844. 10.3390/app9091844Suche in Google Scholar
[9] M. Finkelstein, On the reversed hazard rate, Reliab. Eng. Syst. Safety 78 (2002), 71–75. 10.1016/S0951-8320(02)00113-8Suche in Google Scholar
[10] M. C. Liu, W. Kuo and T. Sastri, An exploratory study of a neural network approach for reliability data analysis, Qual. Reliab. Eng. Int 11 (1995), no. 2, 107–112. 10.1002/qre.4680110206Suche in Google Scholar
[11] J. P. Mills, Table of the ratio: Area to bounding ordinate, for any portion of normal curve, Biometrika 18 (1926), no. 3–4, 395–400. 10.1093/biomet/18.3-4.395Suche in Google Scholar
[12] A. Shafiq, A. B. Çolak, S. A. Lone, T. N. Sindhu and T. Muhammad, Reliability modeling and analysis of mixture of exponential distributions using artificial neural network, Math. Methods Appl. Sci. 47 (2024), no. 5, 3308–3328. 10.1002/mma.8178Suche in Google Scholar
[13] A. Shafiq, A. B. Çolak and T. Naz Sindhu, Designing artificial neural network of nanoparticle diameter and solid-fluid interfacial layer on single-walled carbon nanotubes/ethylene glycol nanofluid flow on thin slendering needles, Internat. J. Numer. Methods Fluids 93 (2021), no. 12, 3384–3404. 10.1002/fld.5038Suche in Google Scholar
[14] A. Shafiq, A. B. Çolak, T. N. Sindhu, S. A. Lone and T. A. Abushal, Modeling and survival exploration of breast carcinoma: A statistical, maximum likelihood estimation, and artificial neural network perspective, Artif. Intell. Life Sci., 4 (2023), Article ID 100082. 10.1016/j.ailsci.2023.100082Suche in Google Scholar
[15] A. Shafiq, A. B. Çolak, T. N. Sindhu, S. A. Lone, A. Alsubie and F. Jarad, Comparative study of artificial neural network versus parametric method in COVID-19 data analysis, Results Phys. 38 (2022), Article ID 105613. 10.1016/j.rinp.2022.105613Suche in Google Scholar PubMed PubMed Central
[16] A. Shafiq, A. B. Çolak, T. N. Sindhu and T. Muhammad, Optimization of Darcy–Forchheimer squeezing flow in nonlinear stratified fluid under convective conditions with artificial neural network, Heat Transf. Res. 53 (2022), no. 3, 67–89. 10.1615/HeatTransRes.2021041018Suche in Google Scholar
[17] A. Shafiq, A. B. Çolak, C. Swarup, T. N. Sindhu and S. A. Lone, Reliability analysis based on mixture of Lindley distributions with artificial neural network, Adv. Theory Simul. 5 (2022), no. 8, Article ID 2200100. 10.1002/adts.202200100Suche in Google Scholar
[18] T. N. Sindhu, A. B. Çolak, S. A. Lone, A. Shafiq and T. A. Abushal, A decreasing failure rate model with a novel approach to enhance the artificial neural network’s structure for engineering and disease data analysis, Tribology Internat 192 (2024), Article ID 109231. 10.1016/j.triboint.2023.109231Suche in Google Scholar
[19] T. N. Sindhu, A. Shafiq and Z. Huassian, Generalized exponentiated unit Gompertz distribution for modeling arthritic pain relief times data: Classical approach to statistical inference, J. Biopharmaceutical Stat. 34 (2024), no. 3, 323–348. 10.1080/10543406.2023.2210681Suche in Google Scholar PubMed
[20] R. M. Usman and M. A. U. Haq, Some remarks on odd Burr III Weibull distribution, Ann. Data Sci. 6 (2019), 21–38. 10.1007/s40745-019-00191-xSuche in Google Scholar
[21]
I. Waini, A. Ishak and I. Pop,
Dufour and Soret effects on Al
[22]
D. R. Wingo,
Maximum likelihood methods for fitting the Burr type
© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Profit and Reliability Analysis of a Gas Production Unit with the Concept of Optimal Age Replacement Policy: A Copula Approach
- A Comprehensive Analysis Using Maximum Likelihood Estimation and Artificial Neural Networks for Modeling Arthritic Pain Relief Data
- A Comparative Study of Six Process Capability Indices and Their Applications to Electronic and Food Industries
- Estimation of a New Asymmetry Based Process Capability Index 𝐶𝑐 for Gamma Distribution
- Double and Group Acceptance Sampling Inspection Plans Based on Truncated Life Test for the Quasi-Xgamma Distribution
- E-Bayesian Estimation of the Weighted Power Function Distribution with Application to Medical Data
- Comparing Ridge Regression Estimators: Exploring Both New and Old Methods
Artikel in diesem Heft
- Frontmatter
- Profit and Reliability Analysis of a Gas Production Unit with the Concept of Optimal Age Replacement Policy: A Copula Approach
- A Comprehensive Analysis Using Maximum Likelihood Estimation and Artificial Neural Networks for Modeling Arthritic Pain Relief Data
- A Comparative Study of Six Process Capability Indices and Their Applications to Electronic and Food Industries
- Estimation of a New Asymmetry Based Process Capability Index 𝐶𝑐 for Gamma Distribution
- Double and Group Acceptance Sampling Inspection Plans Based on Truncated Life Test for the Quasi-Xgamma Distribution
- E-Bayesian Estimation of the Weighted Power Function Distribution with Application to Medical Data
- Comparing Ridge Regression Estimators: Exploring Both New and Old Methods