We derive some shrinkage test-estimators and the Bayes estimators for the shape parameter of a Pareto distribution under the general entropy loss (GEL) function. The properties have been studied in terms of relative efficiency. The choices of shrinkage factor are also suggested.

In this paper, we estimate the reliability of a parallel system with two components. We assume that the strengths of these components follow bivariate pareto (BVP) distribution proposed by Veenus and Nair(1994). These two components are subjected to either two independent stresses or common stress which are ( is ) independent of strengths of two components. We assume that the distribution of st...

The Pareto distribution is to model the income data set of a society. The distribution is appropriate to the situations in which an equilibrium exists in distribution of small to large. There exists many generalization approaches to the distribution. In this paper an effort has been made to compare the applicability of generalized Pareto distribution with Picklands (1975) by using a real life i...

Heavy tailed random variables (rvs) have proven to be an essential element in modeling a wide variety of natural and human-induced processes, and the sums of heavy tailed rvs represent a particularly important construction in such models. Oriented toward both geophysical and statistical audiences, this paper discusses the appearance of the Pareto law in seismology and addresses the problem of t...

The modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. For the first time the Kum-GEP distribution is introduced and studied. This distribution can have a decreasing and upside-down bathtub failure rate function depending on the value of its parameters; it's including some special sub-model like exponentiated P...

In this paper we show empirical data from Internet traffic measurements. Collected measurements are analyzed for different protocols, such as TCP and UDP. We perform statistical analysis through the correlation coefficients, covariance, and self-similarity degree i.e. Hurst parameter. Our experimental studies captured traffic with Hurst parameter around 0.7-0.75, which is near half way between ...

This paper constructs a Bewley model, a dynamic general equilibrium model of heterogeneous households with production, which accounts for the Pareto distributions of income and wealth. We emphasize the role played by concavity of the consumption function in generating the Pareto distribution. We show that the Pareto distribution is obtained when households face idiosyncratic investment shocks o...

The higher-end tail of the wealth distribution in India is studied using recently published lists of the wealth of richest Indians between the years 2002-4. The resulting rank distribution seems to imply a power-law tail for the wealth distribution, with a Pareto exponent between 0.81 and 0.92 (depending on the year under analysis). This provides a comparison with previous studies of wealth dis...

So far the focus of almost all multior many-objective performance metrics has been the convergence and distribution of solutions in the objective space (Pareto-surface). Pareto-surface metrics such as IGD, HV, and Spread are simple and provide knowledge about the overall performance of the solution set. However, these measures do not provide any insight into the distribution or spread of a solu...

In this paper, we considered the half logistic model and derived a probability density function that generalized it. The cumulative distribution function, the $n^{th}$ moment, the median, the mode and the 100$k$-percentage points of the generalized distribution were established. Estimation of the parameters of the distribution through maximum likelihood method was accomplished with the aid of c...