Edit Profile (opens in new tab) Vellaisamy, Palaniappan Co-Author Distance Author ID: vellaisamy.palaniappan Published as: Vellaisamy, P.; Vellaisamy, Palaniappan External Links: MGP Documents Indexed: 116 Publications since 1988, including 8 Additional arXiv Preprints Co-Authors: 36 Co-Authors with 90 Joint Publications 817 Co-Co-Authors all top 5 Co-Authors 13 single-authored 15 Kataria, Kuldeep Kumar 13 Čekanavičius, Vydas 8 Upadhye, Neelesh S. 6 Ghosh, Sayan 5 Kumar, Arun 5 Maheshwari, Aditya 5 Meerschaert, Mark Marvin 5 Nane, Erkan 5 Pathak, Ashok Kumar 5 Sharma, Divakar 4 Al-Mosawi, Riyadh Rustam 4 Kumar, Somesh 4 Zeleke, Aklilu 3 Kumar, Amit N. 2 Daftardar-Gejji, Varsha 2 Deshpande, Amey S. 2 Kayal, Suchandan 2 Kumar, Vijay 2 Punnen, Abraham P. 2 Shanubhogue, Ashok 2 Viens, Frederi G. 1 Arshad, Mohd Rizal 1 Beghin, Luisa 1 Das, Ashish 1 De Los Reyes, J. P. 1 Hande, Sayaji N. 1 Jain, Sushmita 1 Khandakar, Mostafizar 1 Koul, Hira Lal 1 Mahapatra, Ajaya Kumar 1 Midha, Chand K. 1 Misra, Neeraj Kumar 1 Singh, Deepak Kumar 1 Soni, Ritik 1 Sreehari, Maddipatla 1 Taniguchi, Masanobu all top 5 Serials 12 Statistics & Probability Letters 9 Communications in Statistics. Theory and Methods 6 Stochastic Analysis and Applications 6 Methodology and Computing in Applied Probability 5 Journal of Applied Probability 5 Journal of Statistical Planning and Inference 5 Journal of Theoretical Probability 4 Annals of the Institute of Statistical Mathematics 4 Probability and Mathematical Statistics 3 Journal of Mathematical Analysis and Applications 3 The Journal of Analysis 3 Journal of the Indian Statistical Association 2 Theory of Probability and its Applications 2 Naval Research Logistics 2 Sankhyā. Series B. Methodological 2 Utilitas Mathematica 2 Journal of Applied Statistical Science 2 Bernoulli 2 Brazilian Journal of Probability and Statistics 2 Stochastics 2 Statistical Methodology 2 Journal of Statistical Theory and Practice 1 The American Statistician 1 Lithuanian Mathematical Journal 1 Scandinavian Journal of Statistics 1 The Annals of Probability 1 The Annals of Statistics 1 Le Matematiche 1 Metron 1 Proceedings of the American Mathematical Society 1 Statistics 1 Communications in Statistics. Simulation and Computation 1 Statistical Papers 1 Electronic Journal of Probability 1 Chaos 1 Fractional Calculus & Applied Analysis 1 Journal of Integer Sequences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 REVSTAT 1 Journal of the Korean Statistical Society 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Applicable Analysis and Discrete Mathematics 1 Modern Stochastics. Theory and Applications all top 5 Fields 65 Statistics (62-XX) 60 Probability theory and stochastic processes (60-XX) 8 Combinatorics (05-XX) 7 Special functions (33-XX) 5 Real functions (26-XX) 5 Numerical analysis (65-XX) 4 Operations research, mathematical programming (90-XX) 3 Partial differential equations (35-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 900 times in 533 Documents Cited by ▼ Year ▼ The fractional Poisson process and the inverse stable subordinator. Zbl 1245.60084 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 118 2011 Fractional Cauchy problems on bounded domains. Zbl 1247.60078 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 114 2009 Distributed-order fractional diffusions on bounded domains. Zbl 1222.35204 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 87 2011 Inverse tempered stable subordinators. Zbl 1328.60043 Kumar, A.; Vellaisamy, P. 29 2015 Time-changed Poisson processes. Zbl 1227.60063 Kumar, A.; Nane, Erkan; Vellaisamy, P. 25 2011 Inadmissibility results for the selected scale parameters. Zbl 0765.62012 Vellaisamy, P. 24 1992 On the long-range dependence of fractional Poisson and negative binomial processes. Zbl 1355.60052 Maheshwari, A.; Vellaisamy, P. 19 2016 Poisson approximation for \((k_1, k_2)\)-events via the Stein-Chen method. Zbl 1062.62025 Vellaisamy, P. 18 2004 A note on the estimation of the selected scale parameters. Zbl 0860.62022 Vellaisamy, P. 17 1996 Estimating the mean of the selected uniform population. Zbl 0696.62092 Vellaisamy, P.; Kumar, Somesh; Sharma, Divakar 17 1988 Estimation of the mean of the selected gamma population. Zbl 0696.62103 Vellaisamy, P.; Sharma, D. 17 1988 Reliability estimation of the selected exponential populations. Zbl 1163.62015 Kumar, Somesh; Mahapatra, Ajaya Kumar; Vellaisamy, P. 17 2009 Transient anomalous sub-diffusion on bounded domains. Zbl 1266.60087 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 16 2013 A note on unbiased estimation following selection. Zbl 1463.62103 Vellaisamy, P. 15 2009 Saigo space-time fractional Poisson process via Adomian decomposition method. Zbl 1380.60046 Kataria, K. K.; Vellaisamy, P. 14 2017 On Stein operators for discrete approximations. Zbl 1390.60094 Upadhye, Neelesh S.; Čekanavičius, Vydas; Vellaisamy, P. 13 2017 Fractional negative binomial and Pólya processes. Zbl 1410.60043 Vellaisamy, Palaniappan; Maheshwari, Aditya 12 2018 On UMVU estimation following selection. Zbl 0784.62021 Vellaisamy, P. 11 1993 Fractional Poisson process time-changed by Lévy subordinator and its inverse. Zbl 1478.60128 Maheshwari, A.; Vellaisamy, P. 11 2019 Fractional normal inverse Gaussian diffusion. Zbl 1210.60040 Kumar, A.; Meerschaert, Mark M.; Vellaisamy, P. 11 2011 On densities of the product, quotient and power of independent subordinators. Zbl 1430.60043 Kataria, K. K.; Vellaisamy, P. 10 2018 Simple parametrization methods for generating Adomian polynomials. Zbl 1474.41011 Kataria, K. K.; Vellaisamy, P. 10 2016 A note on the estimation of the mean of the selected gamma population. Zbl 0696.62094 Vellaisamy, P.; Sharma, D. 10 1989 Estimating the parameter of the population selected from discrete exponential family. Zbl 1137.62009 Vellaisamy, P.; Jain, Sushmita 10 2008 On compound Poisson approximation for sums of random variables. Zbl 0921.60020 Vellaisamy, P.; Chaudhuri, B. 9 1999 Estimation after selection from gamma populations with unequal known shape parameters. Zbl 1425.62037 Arshad, Mohd.; Misra, Neeraj; Vellaisamy, P. 9 2015 On the sums of compound negative binomial and gamma random variables. Zbl 1161.60303 Vellaisamy, P.; Upadhye, N. S. 9 2009 On negative binomial approximation. Zbl 1268.60017 Vellaisamy, P.; Upadhye, N. S.; Čekanavičius, V. 9 2013 Compound negative binomial approximations for sums of random variables. Zbl 1202.62029 Vellaisamy, P.; Upadhye, N. S. 9 2009 Improved estimators for the selected location parameters. Zbl 1020.62016 Vellaisamy, P.; Punnen, Abraham P. 9 2002 First-exit times of an inverse Gaussian process. Zbl 1498.60175 Vellaisamy, P.; Kumar, A. 9 2018 Estimating the Renyi entropy of several exponential populations. Zbl 1329.94028 Kayal, Suchandan; Kumar, Somesh; Vellaisamy, P. 8 2015 Compound Poisson and signed compound Poisson approximations to the Markov binomial law. Zbl 1213.60033 Čekanavičius, V.; Vellaisamy, P. 8 2010 Discrete approximations for sums of \(m\)-dependent random variables. Zbl 1331.60045 Čekanavičius, V.; Vellaisamy, P. 7 2015 On the nature of the binomial distribution. Zbl 0987.60023 Vellaisamy, P.; Punnen, Abraham P. 7 2001 Space-fractional versions of the negative binomial and Polya-type processes. Zbl 1394.60034 Beghin, Luisa; Vellaisamy, P. 7 2018 Fractional normal inverse Gaussian process. Zbl 1405.60051 Kumar, Arun; Vellaisamy, Palaniappan 7 2012 On the number of successes in dependent trials. Zbl 0900.62076 Vellaisamy, P. 7 1996 Various measures of dependence of a new asymmetric generalized Farlie-Gumbel-Morgenstern copulas. Zbl 1385.60032 Pathak, A. K.; Vellaisamy, P. 7 2016 On the convolution of Mittag-Leffler distributions and its applications to fractional point processes. Zbl 1435.60033 Kataria, Kuldeep Kumar; Vellaisamy, Palaniappan 6 2019 Non-homogeneous space-time fractional Poisson processes. Zbl 1488.60098 Maheshwari, A.; Vellaisamy, P. 6 2019 Correlation between Adomian and partial exponential Bell polynomials. (Corrélation des polynômes d’Adomian et des polynômes de Bell exponentiels partiels.) Zbl 1400.33033 Kataria, Kuldeep Kumar; Vellaisamy, Palaniappan 6 2017 Some collapsibility results for \(n\)-dimensional contingency tables. Zbl 1122.62056 Vellaisamy, P.; Vijay, V. 6 2007 Average worth and simultaneous estimation of the selected subset. Zbl 0763.62011 Vellaisamy, P. 6 1992 Simultaneous estimation of Poisson means of the selected subset. Zbl 1207.62036 Vellaisamy, P.; Al-Mosawi, Riyadh 6 2010 A note on generalized Farlie-Gumbel-Morgenstern copulas. Zbl 1426.62155 Pathak, A. K.; Vellaisamy, P. 5 2016 Poisson and compound Poisson approximations for random sums of random variables. Zbl 0854.60013 Vellaisamy, P.; Chaudhuri, B. 5 1996 Average worth estimation of the selected subset of Poisson populations. Zbl 1314.62074 Al-Mosawi, Riyadh R.; Shanubhogue, A.; Vellaisamy, P. 5 2012 Quantile estimation of the selected normal population. Zbl 0713.62025 Sharma, D.; Vellaisamy, P. 4 1989 A unified approach for modeling and designing attribute sampling plans for monitoring dependent production processes. Zbl 1080.62105 Vellaisamy, P.; Sankar, S. 4 2005 On distributions of certain state-dependent fractional point processes. Zbl 1432.60046 Kataria, K. K.; Vellaisamy, P. 4 2019 On the negative binomial distribution and its generalizations. Zbl 1115.62018 Vellaisamy, P.; Upadhye, N. S. 4 2007 Quantile estimation of the selected exponential population. Zbl 1016.62015 Vellaisamy, P. 4 2003 The generalized K-Wright function and Marichev-Saigo-Maeda fractional operators. Zbl 1354.26010 Kataria, K. K.; Vellaisamy, P. 3 2015 Generalized entropy properties of records. Zbl 1278.62066 Kayal, Suchandan; Vellaisamy, Palaniappan 3 2011 Compound Poisson approximation to convolutions of compound negative binomial variables. Zbl 1320.60044 Upadhye, N. S.; Vellaisamy, P. 3 2014 Some fractional calculus results associated with the \(I\)-function. Zbl 1342.26022 Kataria, K. K.; Vellaisamy, P. 3 2015 On probabilistic proofs of certain binomial identities. Zbl 07671735 Vellaisamy, P. 3 2015 On the occurrence of boundary solutions in multidimensional incomplete tables. Zbl 1398.62148 Ghosh, S.; Vellaisamy, P. 2 2016 A compound Poisson convergence theorem for sums of \(m\)-dependent variables. Zbl 1329.60024 Čekanavičius, V.; Vellaisamy, P. 2 2015 Sequential and systematic sampling plans for the Markov-dependent production process. Zbl 1009.90126 Vellaisamy, P.; Sankar, S. 2 2001 The \(I\)-function distribution and its extensions. Zbl 1404.62021 Vellaisamy, P.; Kataria, K. K. 2 2018 Nonuniform approximations for sums of discrete \(m\)-dependent random variables. Zbl 06312437 Vellaisamy, P.; Čekanavičius, V. 2 2014 On estimation after subset selection from exponential populations. Zbl 0747.62026 Vellaisamy, P.; Sharma, Divakar 2 1990 Log-linear modeling using conditional log-linear structures. Zbl 1332.62185 Vellaisamy, P.; Vijay, V. 2 2009 The limit theorems for a previous \(k\)-sum dependent model. Zbl 1440.60023 Singh, Deepak; Kumar, Somesh; Vellaisamy, P. 2 2020 Compound Poisson approximations in \(\ell_p\)-norm for sums of weakly dependent vectors. Zbl 1478.62052 Čekanavičius, V.; Vellaisamy, P. 2 2021 A probabilistic approach to Adomian polynomials. Zbl 1458.60080 Vellaisamy, Palaniappan; Viens, Frederi 2 2020 A bivariate generalized linear exponential distribution: properties and estimation. Zbl 07603823 Pathak, A. K.; Vellaisamy, P. 2 2022 Collapsibility of regression coefficients and its extensions. Zbl 1130.62066 Vellaisamy, P.; Vijay, V. 2 2008 Improved bounds for approximations to compound distributions. Zbl 1266.60034 Upadhye, N. S.; Vellaisamy, P. 2 2013 Exponential order statistics and some combinatorial identities. Zbl 07529840 Vellaisamy, Palaniappan; Zeleke, Aklilu 2 2019 Lower bounds for discrete approximations to sums of \(m\)-dependent random variables. Zbl 1453.60069 Cekanavicius, Vydas; Vellaisamy, Palaniappan 2 2020 Approximations related to the sums of \(m\)-dependent random variables. Zbl 1487.60092 Kumar, Amit N.; Upadhye, Neelesh S.; Vellaisamy, P. 2 2022 On closeness of two discrete weighted sums. Zbl 1391.60043 Čekanavičius, Vydas; Vellaisamy, Palaniappan 1 2018 Two-stage component test plans for testing the reliability of a series system. Zbl 0994.90058 Vellaisamy, P.; Sankar, S. 1 2002 Analysis of intersections of trajectories of systems of linear fractional differential equations. Zbl 1490.34005 Deshpande, Amey S.; Daftardar-Gejji, Varsha; Vellaisamy, P. 1 2019 Infinitely divisible approximations for sums of \(m\)-dependent random variables. Zbl 1428.60044 Vellaisamy, P.; Čekanavičius, V. 1 2018 Optimal component test plans for a parallel system based on type-II censoring. Zbl 1248.90044 Vellaisamy, Palaniappan; Kumar, Mahesh 1 2008 Average collapsibility of distribution dependence and quantile regression coefficients. Zbl 1246.62112 Vellaisamy, P. 1 2012 Probabilistic proofs of some beta-function identities. Zbl 1423.05026 Vellaisamy, Palaniappan; Zeleke, Aklilu 1 2019 Simpson’s paradox and collapsibility. Zbl 1462.62351 Vellaisamy, P. 1 2012 Copulas and regression models. Zbl 1462.62430 Vellaisamy, Palaniappan; Pathak, Ashok Kumar 1 2014 Poisson approximation to the convolution of power series distributions. Zbl 07596636 Kumar, A. N.; Vellaisamy, P.; Viens, F. 1 2022 Estimation of the parameter of the selected binomial population. Zbl 1336.62069 Al-Mosawi, Riyadh R.; Vellaisamy, P. 1 2015 Collapsibility of contingency tables based on conditional models. Zbl 1181.62091 Vellaisamy, P.; Vijay, V. 1 2010 On a method to construct magic rectangles of even order. Zbl 1197.05017 De Los Reyes, J. P.; Das, Ashish; Midha, Chand K.; Vellaisamy, P. 1 2009 Estimation and design of sampling plans for monitoring dependent production processes. Zbl 1043.62118 Vellaisamy, P.; Sankar, S.; Taniguchi, M. 1 2003 On transmuted generalized linear exponential distribution. Zbl 07530948 Ghosh, S.; Kataria, K. K.; Vellaisamy, P. 1 2021 On large deviations for sums of discrete \(m\)-dependent random variables. Zbl 1498.60106 Čekanavičius, V.; Vellaisamy, P. 1 2019 A bivariate generalized linear exponential distribution: properties and estimation. Zbl 07603823 Pathak, A. K.; Vellaisamy, P. 2 2022 Approximations related to the sums of \(m\)-dependent random variables. Zbl 1487.60092 Kumar, Amit N.; Upadhye, Neelesh S.; Vellaisamy, P. 2 2022 Poisson approximation to the convolution of power series distributions. Zbl 07596636 Kumar, A. N.; Vellaisamy, P.; Viens, F. 1 2022 Compound Poisson approximations in \(\ell_p\)-norm for sums of weakly dependent vectors. Zbl 1478.62052 Čekanavičius, V.; Vellaisamy, P. 2 2021 On transmuted generalized linear exponential distribution. Zbl 07530948 Ghosh, S.; Kataria, K. K.; Vellaisamy, P. 1 2021 The limit theorems for a previous \(k\)-sum dependent model. Zbl 1440.60023 Singh, Deepak; Kumar, Somesh; Vellaisamy, P. 2 2020 A probabilistic approach to Adomian polynomials. Zbl 1458.60080 Vellaisamy, Palaniappan; Viens, Frederi 2 2020 Lower bounds for discrete approximations to sums of \(m\)-dependent random variables. Zbl 1453.60069 Cekanavicius, Vydas; Vellaisamy, Palaniappan 2 2020 Fractional Poisson process time-changed by Lévy subordinator and its inverse. Zbl 1478.60128 Maheshwari, A.; Vellaisamy, P. 11 2019 On the convolution of Mittag-Leffler distributions and its applications to fractional point processes. Zbl 1435.60033 Kataria, Kuldeep Kumar; Vellaisamy, Palaniappan 6 2019 Non-homogeneous space-time fractional Poisson processes. Zbl 1488.60098 Maheshwari, A.; Vellaisamy, P. 6 2019 On distributions of certain state-dependent fractional point processes. Zbl 1432.60046 Kataria, K. K.; Vellaisamy, P. 4 2019 Exponential order statistics and some combinatorial identities. Zbl 07529840 Vellaisamy, Palaniappan; Zeleke, Aklilu 2 2019 Analysis of intersections of trajectories of systems of linear fractional differential equations. Zbl 1490.34005 Deshpande, Amey S.; Daftardar-Gejji, Varsha; Vellaisamy, P. 1 2019 Probabilistic proofs of some beta-function identities. Zbl 1423.05026 Vellaisamy, Palaniappan; Zeleke, Aklilu 1 2019 On large deviations for sums of discrete \(m\)-dependent random variables. Zbl 1498.60106 Čekanavičius, V.; Vellaisamy, P. 1 2019 Fractional negative binomial and Pólya processes. Zbl 1410.60043 Vellaisamy, Palaniappan; Maheshwari, Aditya 12 2018 On densities of the product, quotient and power of independent subordinators. Zbl 1430.60043 Kataria, K. K.; Vellaisamy, P. 10 2018 First-exit times of an inverse Gaussian process. Zbl 1498.60175 Vellaisamy, P.; Kumar, A. 9 2018 Space-fractional versions of the negative binomial and Polya-type processes. Zbl 1394.60034 Beghin, Luisa; Vellaisamy, P. 7 2018 The \(I\)-function distribution and its extensions. Zbl 1404.62021 Vellaisamy, P.; Kataria, K. K. 2 2018 On closeness of two discrete weighted sums. Zbl 1391.60043 Čekanavičius, Vydas; Vellaisamy, Palaniappan 1 2018 Infinitely divisible approximations for sums of \(m\)-dependent random variables. Zbl 1428.60044 Vellaisamy, P.; Čekanavičius, V. 1 2018 Saigo space-time fractional Poisson process via Adomian decomposition method. Zbl 1380.60046 Kataria, K. K.; Vellaisamy, P. 14 2017 On Stein operators for discrete approximations. Zbl 1390.60094 Upadhye, Neelesh S.; Čekanavičius, Vydas; Vellaisamy, P. 13 2017 Correlation between Adomian and partial exponential Bell polynomials. (Corrélation des polynômes d’Adomian et des polynômes de Bell exponentiels partiels.) Zbl 1400.33033 Kataria, Kuldeep Kumar; Vellaisamy, Palaniappan 6 2017 On the long-range dependence of fractional Poisson and negative binomial processes. Zbl 1355.60052 Maheshwari, A.; Vellaisamy, P. 19 2016 Simple parametrization methods for generating Adomian polynomials. Zbl 1474.41011 Kataria, K. K.; Vellaisamy, P. 10 2016 Various measures of dependence of a new asymmetric generalized Farlie-Gumbel-Morgenstern copulas. Zbl 1385.60032 Pathak, A. K.; Vellaisamy, P. 7 2016 A note on generalized Farlie-Gumbel-Morgenstern copulas. Zbl 1426.62155 Pathak, A. K.; Vellaisamy, P. 5 2016 On the occurrence of boundary solutions in multidimensional incomplete tables. Zbl 1398.62148 Ghosh, S.; Vellaisamy, P. 2 2016 Inverse tempered stable subordinators. Zbl 1328.60043 Kumar, A.; Vellaisamy, P. 29 2015 Estimation after selection from gamma populations with unequal known shape parameters. Zbl 1425.62037 Arshad, Mohd.; Misra, Neeraj; Vellaisamy, P. 9 2015 Estimating the Renyi entropy of several exponential populations. Zbl 1329.94028 Kayal, Suchandan; Kumar, Somesh; Vellaisamy, P. 8 2015 Discrete approximations for sums of \(m\)-dependent random variables. Zbl 1331.60045 Čekanavičius, V.; Vellaisamy, P. 7 2015 The generalized K-Wright function and Marichev-Saigo-Maeda fractional operators. Zbl 1354.26010 Kataria, K. K.; Vellaisamy, P. 3 2015 Some fractional calculus results associated with the \(I\)-function. Zbl 1342.26022 Kataria, K. K.; Vellaisamy, P. 3 2015 On probabilistic proofs of certain binomial identities. Zbl 07671735 Vellaisamy, P. 3 2015 A compound Poisson convergence theorem for sums of \(m\)-dependent variables. Zbl 1329.60024 Čekanavičius, V.; Vellaisamy, P. 2 2015 Estimation of the parameter of the selected binomial population. Zbl 1336.62069 Al-Mosawi, Riyadh R.; Vellaisamy, P. 1 2015 Compound Poisson approximation to convolutions of compound negative binomial variables. Zbl 1320.60044 Upadhye, N. S.; Vellaisamy, P. 3 2014 Nonuniform approximations for sums of discrete \(m\)-dependent random variables. Zbl 06312437 Vellaisamy, P.; Čekanavičius, V. 2 2014 Copulas and regression models. Zbl 1462.62430 Vellaisamy, Palaniappan; Pathak, Ashok Kumar 1 2014 Transient anomalous sub-diffusion on bounded domains. Zbl 1266.60087 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 16 2013 On negative binomial approximation. Zbl 1268.60017 Vellaisamy, P.; Upadhye, N. S.; Čekanavičius, V. 9 2013 Improved bounds for approximations to compound distributions. Zbl 1266.60034 Upadhye, N. S.; Vellaisamy, P. 2 2013 Fractional normal inverse Gaussian process. Zbl 1405.60051 Kumar, Arun; Vellaisamy, Palaniappan 7 2012 Average worth estimation of the selected subset of Poisson populations. Zbl 1314.62074 Al-Mosawi, Riyadh R.; Shanubhogue, A.; Vellaisamy, P. 5 2012 Average collapsibility of distribution dependence and quantile regression coefficients. Zbl 1246.62112 Vellaisamy, P. 1 2012 Simpson’s paradox and collapsibility. Zbl 1462.62351 Vellaisamy, P. 1 2012 The fractional Poisson process and the inverse stable subordinator. Zbl 1245.60084 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 118 2011 Distributed-order fractional diffusions on bounded domains. Zbl 1222.35204 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 87 2011 Time-changed Poisson processes. Zbl 1227.60063 Kumar, A.; Nane, Erkan; Vellaisamy, P. 25 2011 Fractional normal inverse Gaussian diffusion. Zbl 1210.60040 Kumar, A.; Meerschaert, Mark M.; Vellaisamy, P. 11 2011 Generalized entropy properties of records. Zbl 1278.62066 Kayal, Suchandan; Vellaisamy, Palaniappan 3 2011 Compound Poisson and signed compound Poisson approximations to the Markov binomial law. Zbl 1213.60033 Čekanavičius, V.; Vellaisamy, P. 8 2010 Simultaneous estimation of Poisson means of the selected subset. Zbl 1207.62036 Vellaisamy, P.; Al-Mosawi, Riyadh 6 2010 Collapsibility of contingency tables based on conditional models. Zbl 1181.62091 Vellaisamy, P.; Vijay, V. 1 2010 Fractional Cauchy problems on bounded domains. Zbl 1247.60078 Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. 114 2009 Reliability estimation of the selected exponential populations. Zbl 1163.62015 Kumar, Somesh; Mahapatra, Ajaya Kumar; Vellaisamy, P. 17 2009 A note on unbiased estimation following selection. Zbl 1463.62103 Vellaisamy, P. 15 2009 On the sums of compound negative binomial and gamma random variables. Zbl 1161.60303 Vellaisamy, P.; Upadhye, N. S. 9 2009 Compound negative binomial approximations for sums of random variables. Zbl 1202.62029 Vellaisamy, P.; Upadhye, N. S. 9 2009 Log-linear modeling using conditional log-linear structures. Zbl 1332.62185 Vellaisamy, P.; Vijay, V. 2 2009 On a method to construct magic rectangles of even order. Zbl 1197.05017 De Los Reyes, J. P.; Das, Ashish; Midha, Chand K.; Vellaisamy, P. 1 2009 Estimating the parameter of the population selected from discrete exponential family. Zbl 1137.62009 Vellaisamy, P.; Jain, Sushmita 10 2008 Collapsibility of regression coefficients and its extensions. Zbl 1130.62066 Vellaisamy, P.; Vijay, V. 2 2008 Optimal component test plans for a parallel system based on type-II censoring. Zbl 1248.90044 Vellaisamy, Palaniappan; Kumar, Mahesh 1 2008 Some collapsibility results for \(n\)-dimensional contingency tables. Zbl 1122.62056 Vellaisamy, P.; Vijay, V. 6 2007 On the negative binomial distribution and its generalizations. Zbl 1115.62018 Vellaisamy, P.; Upadhye, N. S. 4 2007 A unified approach for modeling and designing attribute sampling plans for monitoring dependent production processes. Zbl 1080.62105 Vellaisamy, P.; Sankar, S. 4 2005 Poisson approximation for \((k_1, k_2)\)-events via the Stein-Chen method. Zbl 1062.62025 Vellaisamy, P. 18 2004 Quantile estimation of the selected exponential population. Zbl 1016.62015 Vellaisamy, P. 4 2003 Estimation and design of sampling plans for monitoring dependent production processes. Zbl 1043.62118 Vellaisamy, P.; Sankar, S.; Taniguchi, M. 1 2003 Improved estimators for the selected location parameters. Zbl 1020.62016 Vellaisamy, P.; Punnen, Abraham P. 9 2002 Two-stage component test plans for testing the reliability of a series system. Zbl 0994.90058 Vellaisamy, P.; Sankar, S. 1 2002 On the nature of the binomial distribution. Zbl 0987.60023 Vellaisamy, P.; Punnen, Abraham P. 7 2001 Sequential and systematic sampling plans for the Markov-dependent production process. Zbl 1009.90126 Vellaisamy, P.; Sankar, S. 2 2001 On compound Poisson approximation for sums of random variables. Zbl 0921.60020 Vellaisamy, P.; Chaudhuri, B. 9 1999 A note on the estimation of the selected scale parameters. Zbl 0860.62022 Vellaisamy, P. 17 1996 On the number of successes in dependent trials. Zbl 0900.62076 Vellaisamy, P. 7 1996 Poisson and compound Poisson approximations for random sums of random variables. Zbl 0854.60013 Vellaisamy, P.; Chaudhuri, B. 5 1996 On UMVU estimation following selection. Zbl 0784.62021 Vellaisamy, P. 11 1993 Inadmissibility results for the selected scale parameters. Zbl 0765.62012 Vellaisamy, P. 24 1992 Average worth and simultaneous estimation of the selected subset. Zbl 0763.62011 Vellaisamy, P. 6 1992 On estimation after subset selection from exponential populations. Zbl 0747.62026 Vellaisamy, P.; Sharma, Divakar 2 1990 A note on the estimation of the mean of the selected gamma population. Zbl 0696.62094 Vellaisamy, P.; Sharma, D. 10 1989 Quantile estimation of the selected normal population. Zbl 0713.62025 Sharma, D.; Vellaisamy, P. 4 1989 Estimating the mean of the selected uniform population. Zbl 0696.62092 Vellaisamy, P.; Kumar, Somesh; Sharma, Divakar 17 1988 Estimation of the mean of the selected gamma population. Zbl 0696.62103 Vellaisamy, P.; Sharma, D. 17 1988 all cited Publications top 5 cited Publications all top 5 Cited by 619 Authors 63 Vellaisamy, Palaniappan 24 Nane, Erkan 22 Leonenko, Nikolai N. 21 Beghin, Luisa 19 Kumar, Arun 17 Čekanavičius, Vydas 17 Kataria, Kuldeep Kumar 14 Polito, Federico 12 D’Ovidio, Mirko 12 Kumar, Somesh 11 Upadhye, Neelesh S. 10 Liu, Fawang 10 Meerschaert, Mark Marvin 10 Nematollahi, Nader 10 Orsingher, Enzo 10 Pirozzi, Enrica 10 Toaldo, Bruno 9 Macci, Claudio 9 Wyłomańska, Agnieszka 8 Ascione, Giacomo 8 Mijena, Jebessa B. 7 Arshad, Mohd Rizal 7 Gajda, Janusz 7 Khandakar, Mostafizar 7 Ricciuti, Costantino 7 Scalas, Enrico 6 Garra, Roberto 6 Kumar, Amit N. 6 Lopushans’ka, Galyna Petrovna 6 Maheshwari, Aditya 6 Misra, Neeraj Kumar 6 Patra, Lakshmi Kanta 6 Turner, Ian William 5 Al-Mosawi, Riyadh Rustam 5 Gangopadhyay, Aditi Kar 5 Kobayashi, Kei 5 Kolokoltsov, Vassili N. 5 Magdziarz, Marcin 5 Nguyen Huy Tuan 5 Pathak, Ashok Kumar 5 Peng, Jigen 5 Razzaghi, Mohsen 4 Anh, Vo V. 4 Feng, Libo 4 Gupta, Neha 4 Kawai, Reiichiro 4 Kayal, Suchandan 4 Roos, Bero 4 Sun, Zhizhong 4 Zaky, Mahmoud A. 3 Abdalghani, Omer 3 Allouba, Hassan 3 Asogwa, Sunday A. 3 Bretó, Carles 3 Capitanelli, Raffaela 3 da Silva, José Luís 3 Gao, Guanghua 3 Gao, Jinghuai 3 Gorenflo, Rudolf 3 Hung, Tran Loc 3 Li, Kexue 3 Lopushans’kyi, Andriy Olegovich 3 Luchko, Yurii F. 3 Mahapatra, Ajaya Kumar 3 Meena, Kalu Ram 3 Michelitsch, Thomas M. 3 Mishura, Yuliya Stepanivna 3 Mselmi, Farouk 3 Nayak, Tapan Kumar 3 Ordokhani, Yadollah 3 Połoczański, Rafał 3 Riascos, Alejandro P. 3 Sengar, Ayushi Singh 3 Sikorskii, Alla 3 Singh, Deepak Kumar 3 Sooppy Nisar, Kottakkaran 3 Teerapabolarn, Kanint 3 Toniazzi, Lorenzo 3 van der Meulen, Edward C. 3 Viens, Frederi G. 3 Xia, Aihua 3 Zacher, Rico 2 Al-Jamal, Mohammad F. 2 Alikhanov, Anatoliĭ Alievich 2 Bäumer, Boris 2 Bhootna, Niharika 2 Boutsikas, Michael V. 2 Bu, Weiping 2 Cahoy, Dexter O. 2 Carnaffan, Sean 2 Chen, Wen 2 Chen, Zhen-Qing 2 Chou, Lot-Kei 2 Deng, Weihua 2 Di Crescenzo, Antonio 2 Dipierro, Serena 2 Fardi, Mojtaba 2 Foondun, Mohammud 2 Heris, Mahdi Saedshoar 2 Hu, Ke ...and 519 more Authors all top 5 Cited in 154 Serials 46 Statistics & Probability Letters 30 Communications in Statistics. 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Mathematical Models & Methods in Applied Sciences 1 European Journal of Operational Research 1 SIAM Journal on Applied Mathematics ...and 54 more Serials all top 5 Cited in 36 Fields 304 Probability theory and stochastic processes (60-XX) 147 Partial differential equations (35-XX) 147 Statistics (62-XX) 67 Numerical analysis (65-XX) 66 Real functions (26-XX) 41 Special functions (33-XX) 32 Ordinary differential equations (34-XX) 20 Operator theory (47-XX) 15 Integral equations (45-XX) 13 Statistical mechanics, structure of matter (82-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Combinatorics (05-XX) 9 Operations research, mathematical programming (90-XX) 7 Integral transforms, operational calculus (44-XX) 6 Number theory (11-XX) 5 Biology and other natural sciences (92-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 4 Systems theory; control (93-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Citations by Year