On the Statistical Properties of the Deformed Algebras on the Jackson q-Derivative

ÇANKAYA M. N.

3rd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2022, Bucharest, Romanya, 4 - 07 Temmuz 2022, cilt.414, ss.249-261 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 414
  • Doi Numarası: 10.1007/978-3-031-21700-5_23
  • Basıldığı Şehir: Bucharest
  • Basıldığı Ülke: Romanya
  • Sayfa Sayıları: ss.249-261
  • Anahtar Kelimeler: Algebras, q-calculus, Statistical inference, Tsallis entropy
  • Uşak Üniversitesi Adresli: Evet

Özet

The property of Tsallis q-entropy is introduced. The q-deformed logarithm produced by Tsallis q-entropy is examined. In this study, the summation and subtraction based on this entropy and logarithm are extended to the correlation coefficient type. Since a new deformed difference based on the statistical properties such as correlation coefficient and the M-estimation method exists, a new derivative and its corresponding integral can be proposed. The simulation study is performed to observe the results of the proposed algebras which are the summation and the subtraction.