BACKGROUND In medical research, one common competing risks situation is the study of different types of events, such as disease recurrence and death. We focused on that situation but considered death under two aspects: "expected death" and "excess death", the latter could be directly or indirectly associated with the disease. METHODS The excess hazard method allows estimating an excess mortal...

In this paper, given a progressively type II censored sample from a generalized half logistic distribution, the Bayesian estimators are obtained under asymmetric loss functions such as LINEX loss function, Precautionary loss function, Entropy loss function for the parameter, Reliability and cumulative hazard functions. Comparisons of these estimators are made through simulation studies. Mathema...

A two parameter generalization of the Inverse Rayleigh distribution capable of modeling bathtub hazard rate function is defined and studied with application to reliability data. A comprehensive account of the mathematical properties of the modified Inverse Rayleigh distribution including estimation and simulation with its reliability behavior are discussed. An application is presented to illust...

The Standardized Precipitation Index (SPI) is a widely used drought index to provide good estimations of the intensity, magnitude and spatial extent of droughts. The objective of this study was to analyze the spatial pattern of drought by SPI index. In this paper, patterns of drought hazard in Khuzestan are evaluated according to the data of 17 weather stations during data recording. The influe...