The first calculation performed was the Hurst
Exponent for the Saudi Basic Industries return from 09/21/2005 to 09/21/2010.
Lyapunov
exponent, as an important
exponent to test the property of chaotic map, is widely used in the world of chaos.
(2004) modeled the daily returns series of the PSI-20 using a formulation of fBm and determined the Hurst
exponent by DFA from 1993 to 2001.
The values of scaling
exponent in temperature anomaly records are significantly higher than those in precipitation.
From Figures 3 and 4, we can see that the Lyapunov
exponents of Figure 3 are less than 0 or tend to be 0, while in Figure 4, there is one
exponent that is greater than 200 with no tendency to 0.
Exponent Philanthropy said in the statement that its Pulse Check surveys are internal yardsticks it uses to gauge membership opinions on important and timely topics.
The Hurst
exponent can be understood as a scaling relation for statistically self-similar data [15].
Depending on the value of the Lyapunov
exponent there are three options:
Exponent offers a foundation for carriers to fuel their digital transformation and compete with a range of new digital service providers by expanding their Big Data and Artificial Intelligence, Internet of Things (IoT), Media Services and Internet Services Delivery platforms.
The top Lyapunov
exponent of the nonlinear system is evaluated by Wolf's algorithm to determine whether the chaotic phenomenon of the nonlinear system actually occurs.
A number of algorithms can be employed to estimate the power
exponent values, including the least squares method (LSM), maximum-likelihood method (MLM), and major axis method (MAM).
The theory of function spaces with variable
exponent was extensively studied by researchers since the work of Kovacik and Rakosnik [6] appeared in 1991; see [7,8] and the references therein.
