One of the most important applications of statistical analysis is in health research and
applications. Cancer studies are mostly required special statistical considerations in order to …

One of the most widely used risk measures in environmental studies is the return period (T)
associated with a given level of return. Its calculation requires knowledge of the distribution …

The Gumbel model is a very popular statistical model due to its wide applicability for
instance in the course of certain survival, environmental, financial or reliability studies. In this …

We define a four-parameter extended Rayleigh distribution, and obtain several
mathematical properties including a stochastic representation. We construct a regression …

The beta model is the most important distribution for fitting data with the unit interval.
However, the beta distribution is not suitable to model bimodal unit interval data. In this …

In extreme values theory, for a sufficiently large block size, the maxima distribution is
approximated by the generalized extreme value (GEV) distribution. The GEV distribution is a …

The modality is an important topic for modelling. Using parametric models is an efficient way
when real data set shows trimodality. In this paper, we propose a new class of trimodal …

Asymmetric distributions are frequently seen in real-world datasets due to a number of
factors, such as sample biases and nonlinear interactions between the variables observed …

Shannon's entropy is inherent in studies of probability distributions. The maximum Lq-
likelihood estimation (MLqE) is based on q-entropy and it has been widely explored …

Estimating the parameters (or characteristics) of a distribution, from the availability of
censored samples, is one of the most important topics in statistical inference over the past …