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ENHANCED COMPUTATIONS OF POPULATION DISTRIBUTION FUNCTION: APPLICATION ON SOLAR RADIATION

Elfarazdag M. M. Hussein et al.

Advances and Applications in Statistics2026https://doi.org/10.17654/0972361726021article
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0.50

What the paper says

Precise estimation of population distribution function is important in several scientific and engineering applications in the field of statistical inference. The use of auxiliary information in the process of estimation has been proved to enhance efficiency and accuracy. The proposed work diverges into generalized estimators, which make use of auxiliary information. Theoretical characteristics of the proposed class of estimators such as bias and mean squared error (MSE) are anticipated to measure their performance. The general applicability of the proposed class of estimators is also demonstrated by the flexibility that enables it to cover several well-known estimators as special cases. A practical application of the suggested procedure is made to illustrate that the presented approach is practically useful with the help of real-life data on solar radiation. Solar radiation plays a very important role in energy modeling, climate research and farm planning and the proper distribution modeling is necessary to make sound decisions. The numerical findings demonstrate that the generalized estimators perform better in terms of minimum mean squared error and higher percentage relative efficiency. Eventually, the work can be considered as a contribution to the field of estimation through the provision of a powerful, versatile method for the estimation of the population distribution function. These results indicate that incorporating auxiliary information into a distracted estimation framework could bring significant benefits to accuracy, and it is an effective instrument for empirical investigation with complex data setups.

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https://doi.org/https://doi.org/10.17654/0972361726021

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@article{elfarazdag2026,
  title        = {{ENHANCED COMPUTATIONS OF POPULATION DISTRIBUTION FUNCTION: APPLICATION ON SOLAR RADIATION}},
  author       = {Elfarazdag M. M. Hussein et al.},
  journal      = {Advances and Applications in Statistics},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.17654/0972361726021},
}

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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