On the α-Shiner–Davison–Landsberg Complexity Measure
Shannon entropy is essential for the study of complex continuous systems as it forms various complexity measures. Shiner–Davison–Landsberg (SDL) complexity is such a measure used for the characterization of complex bio-systems, especially in the study of the EEG signals on epileptic seizures. We consider a continuous system whose various states can be described by a wide range of distributions provided by the family of the γ-ordered Normal distributions. Moreover, for the construction of the SDL measure of complexity we consider the generalized Shannon entropy derived via the generalized Fisher’s entropy type measure of information J α . The obtained α-SDL complexity is evaluated and studied with regards to the absolute complexity state, which is important in bio-systems.
KeywordsFisher’s information measure Shannon entropy SDL complexity measure γ-Ordered normal distribution