Archimedean Copulas in Investigating efficiency of placed powerhouse on dams

Authors

  • Golshani, Leila Department of Mathematics and Statistics, Faculty of Science, Central Tehran Branch, Islamic Azad University Tehran, Iran
  • KAZEMI RAD, AMIR. M Department of Mathematics and Statistics, Faculty of Science, Central Tehran Branch, Islamic Azad University Tehran, Iran
  • KOKABI NEJAD, MOHSEN Department of Mathematics and Statistics, Faculty of Science, Central Tehran Branch, Islamic Azad University Tehran, Iran
Abstract:

In this paper, copulas and Archimediean copulas (especially with hyperbolic generator) are investigated and it is shown how to use this type of functions in the stochastic frontier analysis. Then we study the efficiency of hydropower plants located on prominent dams in Iran, and based on their performance in 1399 we use data envelopment analysis and stochastic frontier analysis and copulas functions to rank them. In the present study, among the 58 mentioned dams, the dams with an average practical production capacity of at least 10 MW are evaluated. The number of these dams is 29. The calculations show that Gotvand Dam is in the first place and the Mulla Sadra dam has the last rank.

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Journal title

volume 9  issue 32

pages  23- 36

publication date 2022-11

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