Astronomical Time Series Analysis

It has been greatly expanded in getting the celestial data in time, space and frequencyetc,with large astronomy observation equipment put into use in domestic and overseas.you can say that this is an outbreak era about astronomical data. These data containa series of information.How to obtain useful information from those data is not only thechallenges faced in astronomy, but also in the other natural sciences And social sciencesfeld. So we need to work together to deal with these problems. In my paper i focuseson the most extreme changes phenomenon in the universe Like Blazar light variability.which variability time scale from minute to hundreds of years, the variability rate alsocover several orders of magnitude,the change patterns are also abundant. We note thatin the fnancial, hydrology, geography, meteorology, biology, and social and other Dataanalysis felds, the similar phenomenon also fnd among them. And developed a largenumber of efective model. We try to use those methods to analysis Blazar variabilityand explore periodic and aperiodic phenomenon base on the suit established mathmaticmode.Then explore the physic nature.We selected four typical Blazar celestial and get the daily light curve from Fermi web-site. Combined with contemporary statistical methods for time series analysis and analysisthe probability density distribution., we confrm compliance log–normal distribution inthe light intensity. In the relation of vriability, we fnd the moving average mode is thebest suit mode.Based on the above analysis, we fnd that independent variables durationtime existence, but its efect will not last too long, the long-term correlation performanceof data show a statistical sense relevant; The logarithmic Gaussian distribution of opticalvariable intensity implies the variability may come from the relativistic jet turbulence.Based on these attempts, With more and more observational data,we believe that usenew data-analysis methods can be get the results in the sense of mathematical, you canfnd out the new pattern and the classfcation, but our aim is to understand these physicalmeanings behind it.In order to understand the physical meaning of these methods we needcombined with the physical model ultimately...