We examine the effect of model misspecification for two classes of semi-parametric survival models frequently used for the analysis of right-censored survival data, additive and multiplicative models for the conditional hazard rate. The additive class will be represented by Aalen’s linear model [1], while the multiplicative class will be represented by the Cox proportional hazards (PH) model [2...

We consider the problem of uniform asymptotics in kernel functional estimation where the bandwidth can depend on the data. In a unified approach we investigate kernel estimates of the density and the hazard rate for uncensored and right-censored observations. The model allows for the fixed bandwidth as well as for various variable bandwidths, e.g. the nearest neighbor bandwidth. An elementary p...

When a distribution network consisting of Distributed Generations (DGs) is disconnected from upstream network, the system may be exposed to severe power imbalance. In order to prevent the damage of power plants, frequency relays operate and remove DGs from the network. In contrast to traditional methods, the main objective in new methods is to keep DG units in service in the islanded distributi...

We consider a model for systems perturbed by dichotomous noise, in which the hazard rate function of a random lifetime is subject to additive time-alternating perturbations described by the telegraph process. This leads us to define a real-valued continuous-time stochastic process of alternating type expressed in terms of the integrated telegraph process for which we obtain the probability dist...

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...

Frequency-magnitude distributions, and their associated uncertainties, are of key importance in statistical seismology. When fitting these distributions , the assumption of Gaussian residuals is invalid since event numbers are both discrete and of unequal variance. In general, the observed number in any given magnitude range is described by a binomial distribution which, given a large total num...

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...

due to the increasing interest on renewable sources in recent years, the studies on integration of distributed generation to the power grid have rapidly increased. in order to minimize line losses of power systems, it is crucially important to define the size and location of local generation to be placed. minimizing the losses in the system would bring two types of saving, in real life, one is ...