We proposed a new family of lifetime distributions, namely, complementary exponentiated exponential geometric distribution. This new family arises on a latent competing risk scenario, where the lifetime associated with a particular risk is not observable but only the maximum lifetime value among all risks. The properties of the proposed distribution are discussed, including a formal proof of it...

In this paper, new recurrence relations satisfied by the single and product moments using moment generating function of dual generalized order statistics from inverse exponential-type distribution are established. Recurrence relations for single and product moments of reversed order statistics and lower record value are obtained as special cases. Further, using a recurrence relation for single ...

This manuscript focuses on the statistical inference of Kavya–Manoharan generalized exponential distribution under type-I progressive hybrid censoring sample (GTI-PHCS). Different classical approaches estimation, such as maximum likelihood, product spacing, least squares (LS), weighted LS, and percentiles GTI-PHCS, are investigated. Based squared error linear loss functions, Bayes estimates for...

A generalized linear model describes the distribution of random variable conditioned on one or more other random variables. The generalized linear model consists of two components: a distribution f(y) in the exponential family and a link function g that maps the linear predictor to the mean parameter of the distribution. Let yi for individual i ∈ {1...n} be the random variable that we want to m...

The Lagrangian velocity statistics of dissipative drift-wave turbulence are investigated. For large values of the adiabaticity (or small collisionality), the probability density function of the Lagrangian acceleration shows exponential tails, as opposed to the stretched exponential or algebraic tails, generally observed for the highly intermittent acceleration of Navier-Stokes turbulence. This ...

It was recently pointed out that the distribution of times between solar flares (the flare waiting-time distribution) follows a power law for long waiting times. Based on 25 years of soft X-ray flares observed by Geostationary Operational Environmental Satellite instruments, it is shown that (1) the waiting-time distribution of flares is consistent with a time-dependent Poisson process and (2) ...

in this paper, we derive the exact analytical expressions for the shannon entropy of generalized orderstatistics from pareto-type and related distributions.