Classical and Bayesian studies for a new lifetime model in presence of type-II censoring
COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS
Authors: Goyal, Teena; Rai, Piyush K.; Maurya, Sandeep K.
Abstract
This paper proposes a new class of distribution using the concept of exponentiated of distribution function that provides a more flexible model to the baseline model. It also proposes a new lifetime distribution with different types of hazard rates such as decreasing, increasing and bathtub. After studying some basic statistical properties and parameter estimation procedure in case of complete sample observation, we have studied point and interval estimation procedures in presence of type-II censored samples under a classical as well as Bayesian paradigm. In the Bayesian paradigm, we considered a Gibbs sampler under Metropolis-Hasting for estimation under two different loss functions. After simulation studies, three different real datasets having various nature are considered for showing the suitability of the proposed model.
Calibration of X-ray telescope prototypes at PANTER
RESEARCH IN ASTRONOMY AND ASTROPHYSICS
Authors: Liao, Ying-Yu; Shen, Zheng-Xiang; Yu, Jun; Huang, Qiu-Shi; Ma, Bin; Zhang, Zhong; Wang, Xiao-Qiang; Wang, Kun; Xie, Chun; Burwitz, Vadim; Hartner, Gisela; La Cana, Marlis-Madeleine; Pelliciari, Carlo; Wang, Zhan-Shan
Abstract
We report on a ground X-ray calibration of two X-ray telescope prototypes at the PANTER X-ray Test Facility, operated by the Max-Planck-Institute for Extraterrestrial Physics, in Neuried, Germany. The X-ray telescope prototypes were developed by the Institute of Precision Optical Engineering (IPOE) of Tongji University, in a conical Wolter-I configuration, using thermal glass slumping technology. Prototype #1 with three layers and Prototype #2 with 21 layers were tested to assess the prototypes' on-axis imaging performance. The measurement of Prototype #1 indicates a Half Power Diameter (HPD) of 82 '' at 1.49 keV. As for Prototype #2, we performed more comprehensive measurements of on-axis angular resolution and effective area at several energies ranging from 0.5-10 keV. The HPD and effective area are 111 '' and 39 cm(2) at 1.49 keV, respectively, at which energy the on-axis performance of the prototypes is our greatest concern.