Fast and Reliable Time Delay Estimation of Strong Lens Systems Using Method of Smoothing and Cross-Correlation

The observable time delays between the multiple images of strong lensing systems with time variable sources can provide us with some valuable information to probe the expansion history of the Universe. Estimation of these time delays can be very challenging due to complexities of the observed data where there are seasonal gaps, various noises and systematics such as unknown microlensing effects. In this paper we introduce a novel approach to estimate the time delays for strong lensing systems implementing various statistical methods of data analysis including the method of smoothing and cross-correlation. The method we introduce in this paper has been recently used in TDC0 and TDC1 Strong Lens Time Delay Challenges and has shown its power in reliable and precise estimation of time delays dealing with data with different complexities.Comment: 23 pages, 9 figures, 3 tables, discussions extended, references added, results unchanged, matches final version published in Ap

Testing Isotropic Universe Using the Gamma-Ray Burst Data of Fermi / GBM

The sky distribution of Gamma-Ray Bursts (GRBs) has been intensively studied by various groups for more than two decades. Most of these studies test the isotropy of GRBs based on their sky number density distribution. In this work we propose an approach to test the isotropy of the Universe through inspecting the isotropy of the properties of GRBs such as their duration, fluences and peak fluxes at various energy bands and different time scales. We apply this method on the {\em Fermi} / Gamma-ray Burst Monitor (GBM) data sample containing 1591 GRBs. The most noticeable feature we found is near the Galactic coordinates $l\approx 30^\circ$, $b\approx 15^\circ$ and radius $r\approx 20^\circ-40^\circ$. The inferred probability for the occurrence of such an anisotropic signal (in a random isotropic sample) is derived to be less than a percent in some of the tests while the other tests give results consistent with isotropy. These are based on the comparison of the results from the real data with the randomly shuffled data samples. Considering large number of statistics we used in this work (which some of them are correlated to each other) we can anticipate that the detected feature could be result of statistical fluctuations. Moreover, we noticed a considerably low number of GRBs in this particular patch which might be due to some instrumentation or observational effects that can consequently affect our statistics through some systematics. Further investigation is highly desirable in order clarify about this result, e.g. utilizing a larger future {\em Fermi} / GBM data sample as well as data samples of other GRB missions and also looking for possible systematics.Comment: 17 pages, 10 figures, 4 tables, accepted for publication in The Astrophysical Journa

Update on Testing the Isotropy of the Properties of Gamma-Ray Bursts

Previously we proposed a novel method to inspect the isotropy of the properties of gamma-ray bursts (GRBs) such as their duration, fluences and peak fluxes at various energy bands and different time scales, complementary to existing studies of spatial distribution of GRBs by other authors. The method was then applied on the Fermi GBM Burst Catalog containing 1591 GRBs and except one particular direction where we noticed some hints of violation from statistical isotropy, the rest of the data showed consistency with isotropy. In this work we apply our method with some minor modifications to the updated Fermi/GBM data sample containing 2266 GRBs, thus $\sim 40$ % larger. We also test two other major GRB catalogs, the BATSE Current GRB Catalog of the CGRO satellite containing $\sim 2000$ bursts and the Swift/BAT Gamma-Ray Burst Catalog containing $\sim 1200$ bursts. The new results using the updated data are consistent with our previous findings and no statistically significant anisotropic feature in the observed properties of these samples of all GRBs is found.Comment: 15 pages, 2 figures, 13 tables. Accepted for publication in MNRAS. arXiv admin note: text overlap with arXiv:1706.0355