Time evolution of probability density function of gamma ray burst (GRB) - a possible indication of turbulence origin of GRB
Abstract
Gamma ray burst (GRB) time series is a non-stationary time series with all its statistical properties varying with time. Considering that each GRB is a different manifestation of the same stochastic process we studied the time dependent as well as time averaged probability density function (pdf) characterizing the underlying stochastic process. The pdfs are fitted with Gaussian distribution function and it has been argued that the Gaussian pdfs possibly indicate the turbulence origin of GRB. The spectral and temporal evolution of GRBs are also studied through the evolution of spectral forms, color-color diagrams and hysteresis loops. The results do not contradict the turbulence interpretation of GRB.
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