In this article, we introduce a new generalized family of Esscher transformed Laplace distribution, namely the Kumaraswamy distribution. We study various properties distribution including survival function, hazard rate cumulative function and reverse function. The parameters are estimated using maximum likelihood method estimation. A real application on breaking stress carbon fibres is also con...

A multivariate probability model possessing a dependence structure that is reflected in its variance–covariance structure and gamma distributed univariate margins is introduced and studied. In particular, the higher order moments and cumulants, Chebyshevtype inequalities and multivariate probability density functions are derived. The model suggested herein is believed to be capable of describin...

Deterministic Bayesian inference for latent Gaussian models has recently become available using integrated nested Laplace approximations (INLA). Applying the INLAmethodology, marginal estimates for elements of the latent field can be computed efficiently, providing relevant summary statistics like posterior means, variances and pointwise credible intervals. In this paper, we extend the use of I...

We introduce a model of proportional growth to explain the distribution P (g) of business firm growth rates. The model predicts that P (g) is Laplace in the central part and depicts an asymptotic power-law behavior in the tails with an exponent ζ = 3. Because of data limitations, previous studies in this field have been focusing exclusively on the Laplace shape of the body of the distribution. ...

We introduce a quantile-based multivariate log-normal distribution, providing new skewed distribution with positive support. The parameters of this are interpretable in terms quantiles marginal distributions and associations between pairs variables, desirable feature for statistical modeling purposes. derive properties the involving transformations, closed-form expressions mixed moments, expect...

In this paper, we present a performance analysis of a 2-dimensional preemptive priority queueing system with state-dependent arrivals. Using a Markovian formulation we first compute the steady state distribution for the queue length of both classes. Then, waiting times and busy periods are characterized through (i) first and second moments and (ii) the approximation of their cumulative distribu...