Generalized exponential distribution: Existing results and some recent developments

Some Results on the Generalized Gaussian Distribution

For continuous sources the rate-distortion function has been found for a Laplace source with an absolute error distortion d(x, x̂) = |x x̂| [2], exponential source with absolute error distortion [3] and Gaussian source with square error distortion d(x, x̂) = |x x̂|2 [1]. In this paper, we will enlarge this set of known cases by considering the rate-distortion problem for generalized Gaussian (GG) d...

Some Recent Banking Developments

When I was invited to this banking conference, I agreed to talk about bank interest margins – in particular, the international comparison of these margins. As it turns out, we at the Reserve Bank have said about as much as can fruitfully be said on this subject in our recent Annual Report. Therefore, I will quickly summarise this subject in the first third of this talk, then move on to somethin...

Bivariate generalized exponential distribution

Recently it is observed that the generalized exponential distribution can be used quite effectively to analyze lifetime data in one dimension. The main aim of this paper is to define a bivariate generalized exponential distribution so that the marginals have generalized exponential distributions. It is observed that the joint probability density function, the joint cumulative distribution funct...

Some New Characterization Results on Exponential and Related Distributions

The Lomax-Exponential Distribution, Some Properties and Applications

Abstract: The exponential distribution is a popular model in applications to real data. We propose a new extension of this distribution, called the Lomax-exponential distribution, which presents greater flexibility to the model. Also there is a simple relation between the Lomax-exponential distribution and the Lomax distribution. Results for moment, limit behavior, hazard function, Shannon entr...