On generalized semi-Pareto and semi-Burr distributions and random coefficient minification processes

A characterization of Pareto type III distribution is obtained. As a generalization of the Pareto distribution, a new class of distributions called the generalized Pareto distributions is introduced and a characterization of this class is obtained. We introduce a new class of autoregressive models with semi-Pareto marginals and study its properties. As a generalization of semi-Pareto distribution, we introduce semi-Burr distribution and develop a random coefficient autoregressive model with semi-Burr marginal distributions.     

A compound beta distribution with applications in finance

If X and Y are gamma distributed independent random variables then it is well known that the ratio X / (X + Y) has the beta distribution. In this note, the distribution of W = X / (X + Y) is considered when X and Y have the compound gamma distribution. We refer to the distribution of W as compound beta and describe an application to consumer price indices to show that compound beta is a better model than one based on the standard beta distribution. We derive various properties of W, including its probability density function, cumulative distribution function, hazard rate function and moments.     

Professionalism in Indian public relations and corporate communications: An empirical analysis

Public relations is evolving in India and the profession is gaining acceptance and recognition. This study is an attempt to measure the extent of professionalism in India and how much consensus, if any, exists regarding professional standards among practitioners in agencies and those in corporations. It also identifies the influence of demographic factors on the standards in the profession.     

A multivariate two-factor skew model

It is well known that many data, such as the financial or demographic data, exhibit asymmetric distributions. In recent years, researchers have concentrated their efforts to model this asymmetry. Skew normal model is one of such models that are skew and yet possess many properties of the normal model. In this paper, a new multivariate skew model is proposed, along with its statistical properties. It includes the multivariate normal distribution and multivariate skew normal distribution as special cases. The quadratic form of this random vector follows a χ² distribution. The roles of the parameters in the model are investigated using contour plots of bivariate densities.     

On negative moments of generalized poisson distribution

The negative moments have been used in estimation theory and life testing problems. In this paper we obtain the first inverse moment of a decapitated generalized Poisson distribution of Consul and Jain (1973) and exhibit an application in the estimation of soil micro-organisms.     

An efficiency comparison of dual ratio and product estimatiors

The present paper investigates the efficiency of the dual ratio estimator under the super population model with uncorrelated errors and a gamma-distributed auxiliary variabble. It is found that the dual ratio estimator is more efficient than the product estimator when the auxiliary variable has a gamma distribution with parameter greater than or equal to one, in the case when the regression is through the origin or when the product of intercept and slope is positive.