Search Results - "Vellaisamy, P."

Marginal log‐linear parameters and their collapsibility for categorical data by Ghosh, Sayan, Vellaisamy, P.

“…Collapsibility is a practical and useful technique for dimension reduction in multidimensional contingency tables. In this paper, we consider marginal…”
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A bivariate generalized linear exponential distribution: properties and estimation by Pathak, A. K., Vellaisamy, P.

“…This article introduces a new family of bivariate generalized linear exponential (BGLE) distributions, whose marginals are generalized linear exponential (GLE)…”
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On Probabilistic Proofs of Certain Binomial Identities by Vellaisamy, P.

“…This short note gives a simple statistical proof of a binomial identity, by evaluating the Laplace transform of the maximum of n independent exponential random…”
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Collapsibility of some association measures and survival models by Vellaisamy, P.

“…Collapsibility deals with the conditions under which a conditional (on a covariate W ) measure of association between two random variables Y and X equals the…”
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On the long-range dependence of fractional Poisson and negative binomial processes by Maheshwari, A., Vellaisamy, P.

“…We discuss the short-range dependence (SRD) property of the increments of the fractional Poisson process, called the fractional Poissonian noise. We also…”
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Distributed-order fractional diffusions on bounded domains by Meerschaert, Mark M., Nane, Erkan, Vellaisamy, P.

“…Fractional derivatives can be used to model time delays in a diffusion process. When the order of the fractional derivative is distributed over the unit…”
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Binomial Approximation to Locally Dependent Collateralized Debt Obligations by Kumar, Amit N., Vellaisamy, P.

“…In this paper, we develop Stein’s method for binomial approximation using the stop-loss metric that allows one to obtain a bound on the error term between the…”
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Fractional Poisson Process Time-Changed by Lévy Subordinator and Its Inverse by Maheshwari, A., Vellaisamy, P.

“…In this paper, we study the fractional Poisson process (FPP) time-changed by an independent Lévy subordinator and the inverse of the Lévy subordinator, which…”
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Fractional Cauchy Problems on Bounded Domains by Meerschaert, Mark M., Nane, Erkan, Vellaisamy, P.

“…Fractional Cauchy problems replace the usual first-order time derivative by a fractional derivative. This paper develops classical solutions and stochastic…”
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Compound Poisson Approximations in ℓp-norm for Sums of Weakly Dependent Vectors by Čekanavičius, V., Vellaisamy, P.

“…The distribution of the sum of 1-dependent lattice vectors with supports on coordinate axes is approximated by a multivariate compound Poisson distribution and…”
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A Probabilistic Extension of the Fubini Polynomials by Soni, R., Pathak, A. K., Vellaisamy, P.

“…In this paper, we present a probabilistic extension of the Fubini polynomials and numbers associated with a random variable satisfying some appropriate moment…”
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On Distributions of Certain State-Dependent Fractional Point Processes by Kataria, K. K., Vellaisamy, P.

“…We obtain the explicit expressions for the state probabilities of various state-dependent versions of fractional point processes. The inversion of the Laplace…”
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Non-homogeneous space-time fractional Poisson processes by Maheshwari, A., Vellaisamy, P.

“…The space-time fractional Poisson process (STFPP), defined by Orsingher and Poilto (2012), is a generalization of the time fractional Poisson process (TFPP)…”
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On transmuted generalized linear exponential distribution by Ghosh, S., Kataria, K. K., Vellaisamy, P.

“…In this paper, we introduce a transmuted generalized linear exponential distribution (TGLED) through the quadratic rank transmutation function studied by Shaw…”
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First-exit times of an inverse Gaussian process by Vellaisamy, P., Kumar, A.

“…The first-exit time process of an inverse Gaussian Lévy process is considered. The one-dimensional distribution functions of the process are obtained. They are…”
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Space-Fractional Versions of the Negative Binomial and Polya-Type Processes by Beghin, L., Vellaisamy, P.

“…In this paper, we introduce a space fractional negative binomial process (SFNB) by time-changing the space fractional Poisson process by a gamma subordinator…”
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Sequelae of Prospective versus Retrospective Reports of Adverse Childhood Experiences by Hardt, J., Vellaisamy, P., Schoon, I.

“…Retrospective assessment of adverse childhood experiences is widely used in research, although there are concerns about its validity. In particular, recall…”
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On large deviations for sums of discrete m-dependent random variables by Čekanavičius, V., Vellaisamy, P.

“…The ratio is investigated for three cases: (a) when is a sum of 1-dependent non-negative integer-valued random variables (rvs), satisfying some moment…”
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Infinitely Divisible Approximations for Sums of m-Dependent Random Variables by Vellaisamy, P., Čekanavičius, V.

“…Assuming conditions on factorial cumulants, we estimate the closeness of distribution of a sum of nonnegative integer-valued m -dependent random variables to…”
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Average Collapsibility of Distribution Dependence and Quantile Regression Coefficients by VELLAISAMY, P.

“…The Yule-Simpson paradox notes that an association between random variables can be reversed when averaged over a background variable. Cox and Wermuth…”
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