Showing papers by "Palaniappan Vellaisamy published in 2021"
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TL;DR: Some properties of the maximum likelihood estimators (MLE’s) for the parameters are studied using simulated data and some applications of the proposed model to real data are also provided.
Abstract: In this paper, we introduce a transmuted generalized linear exponential distribution (TGLED) through the quadratic rank transmutation function studied by Shaw and Buckley (2009). The TGLED ...
2 citations
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TL;DR: In this paper, the distribution of the sum of 1-dependent lattice vectors with supports on coordinate axes is approximated by a multivariate compound Poisson distribution and by signed compound poisson measure.
Abstract: The distribution of the sum of 1-dependent lattice vectors with supports on coordinate axes is approximated by a multivariate compound Poisson distribution and by signed compound Poisson measure. The local and
$$\ell _\alpha $$
-norms are used to obtain the error bounds. The Heinrich method is used for the proofs.
2 citations
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TL;DR: In this article, the authors obtained a probabilistic relationship between the exponential Bell polynomials and the weighted sums of independent Poisson random variables, based on a recently established model.
Abstract: In this paper, we obtain a probabilistic relationship between the exponential Bell polynomials and the weighted sums of independent Poisson random variables. A recently established probabilistic co...
1 citations
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TL;DR: The Adomian decomposition method (ADM) is a powerful tool for solving many nonlinear functional equations and a large class of initial/boundary value problems as discussed by the authors.
Abstract: The Adomian decomposition method (ADM) is a powerful tool for solving numerous nonlinear functional equations and a large class of initial/boundary value problems. The main task in the application ...