A robust estimation procedure for mixture linear regression models is proposed by assuming that the error terms follow a Laplace distribution. The estimation procedure is implemented by an EM algorithm based on the fact that the Laplace distribution is a scale mixture of a normal distribution. Finite sample performance of the proposed algorithm is evaluated by numerical simulation studies. The ...

Abstract The identification of factors associated with mental and behavioural disorders in early childhood is critical both for psychopathology research the support primary health care practices. Motivated by Millennium Cohort Study, this paper we study effect a comprehensive set covariates on children's emotional trajectories England. To end, develop quantile mixed hidden Markov model joint es...

In the present work, the mathematical model of a homogeneous, isotropic thermoelastic double porous micro-beam, based on the Euler-Bernoulli theory is developed in the context of Lord-Shulman [1] theory of thermoelasticity. Laplace transform technique has been used to obtain the expressions for lateral deflection, axial stress, axial displacement, volume fraction field and temperature distribut...

We propose matrix-variate beta type III distribution. Several properties of this distribution including Laplace transform, marginal distribution and its relationship with matrix-variate beta type I and type II distributions are also studied.

We introduce stochastic Discrete Laplacian Growth and consider its deterministic continuous version. These are reminiscent respectively to well-known Diffusion Limited Aggregation and Hele-Shaw free boundary problem for the interface propagation. We study correlation between stability of deterministic free-boundary problem and macroscopic fractal growth in the corresponding discrete problem. It...

We relate the fractional powers of the discrete Laplacian with a standard time-fractional derivative in the sense of Liouville by encoding the iterative nature of the discrete operator through a time-fractional memory term.

We consider the standard GI/G/1 queue with unlimited waiting room and the first-in first-out service discipline. We investigate the steady-state waiting-time tail probabilities P(W > x) when the service-time distribution has a long-tail distribution, i.e., when the service-time distribution fails to have a finite moment generating function. We have developed algorithms for computing the waiting...

In this paper, the authors deal with a complex network having n-identical units in series and two identical standby units for evaluation of its ability measures. The authors have been used supplementary variables technique to formulate the mathematical equations for various flow-states of fig-1(b). These mathematical equations have been solved by the application of Laplace transform. The Laplac...