This article completes our studies on the formal construction of asymptotic approximations for statistics based a random number observations. Second order Chebyshev–Edgeworth expansions asymptotically normally or chi-squared distributed from samples with negative binomial Pareto-like sample sizes are obtained. The results can have applications wide spectrum chi-square statistics. Random, non-ra...

Background: The aim of this work was to establish how well gel dosimeters performed, as substitutes for brain tissue compared with standard phantom materials such as water, polymethyl-methacrylate (or PMMA), A150 plastic and TE- liquid phantom material for dosimetry of neutron beams in boron neutron capture therapy. Materials and Methods: Thermal neutron fluence, photon dose and epithermal neu...

There are certain assumptions about the baseline distribution and distribution of frailty. Mostly Weibull distribution is considered for baseline hazard but we consider some different baseline distributions. Mostly assumption of gamma distribution is considered for frailty distribution. In this paper also, we consider gamma distribution as frailty distribution and two different baseline distrib...

 Minimax estimation problems with restricted parameter space reached increasing interest within the last two decades Some authors derived minimax and admissible estimators of bounded parameters under squared error loss and scale invariant squared error loss In some truncated estimation problems the most natural estimator to be considered is the truncated version of a classic...

Many of the important conclusions about Gamma-Ray Bursts follow from the distributions of various quantities such as peak ux or duration. We show that for astrophysical transients such as bursts, multiple selection thresholds can lead to various forms of data truncation, which can strongly aaect the distributions obtained from the data if not accounted for properly. Thus the data should be cons...

Blazars, a subset of powerful active galactic nuclei, feature relativistic jets that shine in broadband electromagnetic radiation, e. g. from radio to TeV emission. Here I present the results studies explore gamma-ray and optical variability properties sample bright sources Several methods time-series analyses are performed on decade-long Fermi/LAT observations. The main as follows: found highl...