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We present a detailed study of flux and index distributions of three blazars(one FSRQ and two BL Lacs) by using 16 years of Rossi X-ray Timing Explorerarchival data. The three blazars were chosen such that their flux and indexdistributions have sufficient number of data points ($\geq$90) with relativelyless uncertainty ($\bar{\sigma_{err}^{2}}/\sigma^{2}$<0.2) in light curves.Anderson-Darling (AD) test and histogram fitting shows that flux distributionof FSRQ 3C273 is log-normal, while its photon index distribution is Gaussian.This result is consistent with linear Gaussian perturbation in the particleacceleration time-scale, which produces log-normal distribution in flux.However, for two BL Lacs viz. Mkn501 and Mkn421, AD test shows that their fluxdistributions are neither Gaussian nor log-normal, and their indexdistributions are non-normal. The histogram fitting of Mkn501 and Mkn421,suggests that their flux distributions are more likely to be a bi-modal, andtheir index distributions are double Gaussian. Since, Sinha et al. (2018) hadshown that Gaussian distribution of index produces a log-normal distribution influx, double Gaussian distribution of index in Mkn501 and Mkn421 indicates thattheir flux distributions are probably double log-normal. Observation of doublelog-normal flux distribution with double Gaussian distribution in indexreaffirms two flux states hypothesis. Further, the difference observed in theflux distribution of FSRQ (3C273) and BL Lacs (Mkn501 and Mkn421) at X-rays,suggest that the low energy emitting electrons have a single log-normal fluxdistribution while the high energy ones have a double log-normal fluxdistribution.

Study of long-term flux and photon Index distributions of blazars using RXTE observations