Hurst exponent

Incorporating long memory into the modeling of gold prices

Inflation causes many people to move to gold as an option for savings because gold may be used as a hedging tool against currency devaluation and purchasing power erosion.  This has contributed to the increased interest in forecasting the prices at the gold market, just like predicting the prices at the stock market, which exhibits uncertain movement, which can be described mathematically with Geometric Brownian Motion (GBM) and Geometric Fractional Brownian Motion (GFBM).  This study aims to model Malaysian gold prices using both GBM and GFBM processes and compare the

Calculation of average time of packet delay in the storage buffer of a single-channel system with self-similar traffic

First step for the calculation of service quality characteristics in a single-channel packet communication system is to estimate the Hurst exponent for self-similar traffic, after which, according to the well-known Norros formula, the average number of packets in the system N is calculated.