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PUBLICATIONS


 
  1. Publications in Journals
   
121
 Ghosh, S. and Vellaisamy, P. (2024). Marginal log-linear parameters and their collapsibility for categorical data. To appear in Statistica Neerlandica.
   
120
 Ghosh, S. and Vellaisamy, P. (2024). Closed-form estimates for missing counts in multidimensional incomplete tables. To appear in Hacettepe Journal of Mathematics and Statistics.
   
119
 Soni, R., Vellaisamy, P. and Pathak, A. K. (2024). A probabilistic generalization of the Bell polynomials. To appear inThe Journal of Analysis.
   
118
 Kumar, A. N. and Vellaisamy, P. (2023). Binomial approximation to locally dependent collateralized debt obligations Methodolgy and Computing in Applied Probability, 25 , Paper No.81, 18 pp.
   
117
 Levental, S., and Vellaisamy, P. (2023). Formulas for the divergence operator in isonormal Gaussian space. Statistics and Probability Letters, 194 , Paper No. 109743 (12 pages).
   
116
 Kumar, A. N., Vellaisamy, P. and Viens, F. (2022). Poisson approximation to the convolution of power series distributions. Probability and Mathematical Statistics. 42 , No. 1, 63-80.
   
115
 Vellaisamy, P. and Kumar, V. (2022). Probabilistic interpretations of nonclassic Adomian polynomials. Stochastic Analysis and Applications, 40 , No. 5, 931-950.
   
114
 Kataria, K. K., Vellaisamy, P. and Kumar, V. (2022). A probabilistic interpretation of the Bell polynomials. Stochastic Analysis and Applications, 40 , No. 4, 610-622.
   
113
 Pathak, A. K. and Vellaisamy, P. (2022). A bivariate generalized linear exponential distribution: Properties and estimation. Communications in Statistics-Simulation and Computation, 51, No. 9, 5426-5446.
   
112
 Kumar, A. N., Upadhye, N. S. and Vellaisamy, P. (2022). Approximations related to the sums of m-dependent random variables. Brazilian Journal of Probability and Statisitcs, 36 , No. 2, 349-368.
   
111
 Cekanavicius, V. and Vellaisamy, P. (2021). Compound Poisson approximations in `p-norm for sums of weakly dependent vectors. Journal of Theoretical Probability, 34 , No. 4, 2241-2264.
   
110
 Ghosh, S., Kataria, K. K. and Vellaisamy, P. (2021). On transmuted generalized linear exponential distribution. Communications in Statistics-Theory and Methods, 50, No. 9, 1978-2000.
   
109
 Kataria, K. K. and Vellaisamy, P. (2020). State dependent versions of the space-time fractional Poisson processes. Fractional Calculus and Applied Analysis., 23 , No. 5, 1483-1505.
   
108
 Vellaisamy, P. and Viens, F. (2020). A probabilistic approach to Adomian polynomials. Stochastic Analysis and Applications, 38 , No. 6, 1045-1062
   
107
 Cekanavicius, V. and Vellaisamy, P. (2020). Lower bound estimates for discrete approximations to sums of weakly dependent random variables. Probability and Mathematical Statistics 40, No. 1, 23-35.
   
106
 Singh, D. Kumar, S. and Vellaisamy, P. (2020). The limit theorems for a previous k-sum dependent model.
Journal of Mathematical Analysis and Applications, 487, No. 2, 124004, 15 pp.
   
105
 Ghosh, S. and Vellaisamy, P. (2020). On the occurrence of boundary solutions in two-way incomplete
tables REVSTAT, 18, No. 1, 89-108.
   
104
 Cekanavicius, V. and Vellaisamy, P. On large deviations for sums of discrete m-dependent
random variables. To appear in Stochastics.
   
103
 Deshpande, Amey S., Daftardar-Gejji, V. and Vellaisamy, P. Analysis of intersections of
trajectories of systems of linear fractional di erential equations. To appear in Chaos.
   
102
 Ghosh,S. and Vellaisamy, P. Evaluation of missing data mechanisms in two and three dimensional
incomplete tables. To appear in Journal of the Korean Statistical Society.
   
101
 Maheshwari, A. and Vellaismy, P. Space-time fractional non-homogeneous Poisson processes.
To appear in Stochastic Analysis and Applications.
   
100

Kataria, K. K. and Vellaisamy, P. On the convolution of Mittg-Leffler distributions and its applications to

fractional point processes.To appear in Stochastic Analysis and Applications.
   
99
 Cekanavicius, V. and Vellaisamy, P. Lower bound estimates for discrete approximations to sums of
m-dependent random variables. To appear in Probability and Mathematical Statistics.
   
98
 Vellaisamy, P. and Zeleke. A. Exponential order statistics and some combinatorial identies. To appear
in Communications in Statistics-Theory and Methods.
   
97
 Kataria, K. K. and Vellaisamy, P. On distributions of certain state dependent fractional Poisson
processes. To appear in Journal of Theoretical Probability.
   
96

Maheshwari, A. and Vellaisamy, P. Fractional Poisson process time-changed by Levy subordinator

and its inverse. To appear in Journal of Theoretical Probability.
   
95
 Ghosh, S. and Vellaisamy, P. On the occurrence of boundary solutions in two-way incomplete tables. To appear in REVSTAT.
   
94
 Cekanavicius, V. and Vellaisamy, P. (2018). Approximating by convolution of the normal and compound
Poisson laws via Stein's method. Lithuanian Mathematical Journal, 58, 127-140.
   
93
 Kataria, K. K. and Vellaisamy, P. (2018). On martingale characterizations for some generalized space-fractional Poisson processes. Stochastic Analysis and Applications. 36, 665-670.
   
92
 Vellaisamy, P. and Cekanavicius, V. (2018). Infininitely divisible approximations for sums of m-dependent random variables. Journal of Theoretical Probability, 31, 2432-2445.
   
91
 Vellaisamy, P and Kataria, K. K. (2018). The I-function distribution and its extensions. Theory of Probability and Its Applications, 63, 227-245.
   
90
 Beghin, L. and Vellaisamy, P. (2018). Space-fractional versions of the negative binomial and Polya-type processes. Methodlogy and Computing in Applied Probability, 20, 463-485.
   
89
 Vellaisamy, P. and Maheshwari, A. (2018). Fractional negative binomial and Polya processes. Probability and Mathematical Statistics, 38, 77-101.
   
88

Cekanavicius, V. and Vellaisamy, P. (2018). On closeness of two discrete weighted sums. Modern
Stochstics: Theory and Applications, 5, 207-224.
   
87

Kataria, K. K. and Vellaisamy, P. (2018). On densities of the product, quotient and power of independent subordinators. Journal of Mathematical Analysis and Applications, 162, 1622-1643.
   
86

Vellaisamy, P. and Kumar, A. (2018). Fist exit-times of an inverse Gaussian process. Stochastics, 90, 29-48.
   
85
 Kataria, K. K. and Vellaisamy, P. (2017). Correlation between Adomian and partial exponential Bell polynomials. Comptes Rendus Mathematique Acadmie des Sciences. Paris, 355, 929-936.
   
84
 Koul, H. L. and Vellaisamy, P. (2017). Asymptotic distributions of some robsut scale estimators in explosive AR(1) model, Statistics & Probability Letters, 126, 157-163.
   
83

Vellaisamy, P. (2017). Collapsibility of some association measures and survival models. Annals of the Institute of Statistical Mathematics, 69, 1155-1176.
   
82
 Kataria, K. K. and Vellaisamy, P. (2017). Saigo space-time fractional Poisson process via Adomian decomposition method. Statistics & Probability Letters, 129, 69-80.
   
81
 Uphadhye, N. S., Cekanavicius, V. and Vellaisamy, P. (2017). On Stein operators for discrete approximations. Bernoulli, 23, 2828-2857.
   
80
 Wylomaska, A., Kumar, A., Pooczaski, R. and Vellaisamy, P. (2016). Inverse Gaussian and its inverse process as the subordinators of fractional Brownian motion. Physical Review E, 94, No. 4 (042128), 1-11
   
79
 Maheshwari, A. and Vellaisamy, P. (2016). On the long-range dependence of fractional Poisson and negative binomial processes. Journal of Applied Probability, 53, 989-1000.
   
78
 Ghosh, S. and P. Vellaisamy (2016). On the occurrence of boundary solutions in multidimensional incomplete tables. Statistics & Probability Letters, 119, 63-75.
   
77
 Kataria, K. K. and Vellaisamy, P. (2016). Simple parametrization methods for generating Adomian polynomials. Applicable Analysis and Discrete Mathematics, 10, 168-185.
   
76
 Phatak, A. K. and Vellaisamy, P. (2016). Various measures of dependence of a new asymmetric generalized Farlie-Gumbel-Morgenstern copulas. Communications in Statistics-Theory and Methods, 45, 5299-5317.
   
75
 Phatak. A. K. and Vellaisamy, P (2016). A note on Farlie-Gumbal-Morgenstern copulas. Journal of Statistical Theory and Practice, 10, 40-58.
   
74
 Kataria, K. K. and Vellaisamy, P. (2015). Some fractional calculus results associated with the I-function. Mathematiche (Catania), 70, 173-190.
   
73
 Cekanavicius, V. and Vellaisamy, P. (2015). Discrete approximations for sums of m-dependent random variables. ALEA, Latin American Journal of Probability and Mathematical Statistics, 12, 765-712.
   
72
 Al-Mosawi, R. R. and Vellaisamy, P. (2015). Estimation of the parameter of the selected
binomial populations. Communications in Statistics-Theory and Methods, 44, 4796-4811.
   
71
 Cekanavicius, V. and Vellaisamy, P (2015). A compound Poisson convergence theorem for
sums of m-dependent random variables. Journal of Theoretical Probability, 28, 1145-1164.
   
70
 Vellaisamy, P. (2015). On probabilistic proofs of certain binomial identities. The American
Statistician, 69, 241-243.
   
69
 Kumar, A. and Vellaisamy, P. (2015). Inverse tempered stable subordinators. Statistics
& Probability Letters, 103, 134-141.
   
68
 Kataria, K. K. and Vellaisamy, P. (2015). The generalized K-Wright function and Marichev-
Saigo-Maeda fractional operators. Journal of Analysis, 23, 75-87.
   
67
 Kayal, S., Kumar, S. and Vellaisamy, P. (2015). Estimating the Renyi entropy of several exponential populations. Brazilian Journal of Probability and Statistics, 29, 94-111.
   

66

 

 Arshad, M., Misra, N. and Vellaisamy, P. (2015). Estimation after selection from gamma
populations with unequal known shape parameters. Journal of Statistical Theory and Practice, 9, 345-418.
   
65
 Upadhye, N. S. and Vellaisamy, P. (2014). Compound Poisson approximation to sums of compound negative binomial variables. Methodology and Computing in Applied Probability, 16, 951-968.
   
64
 Vellaisamy, P. and Pathak, A. K. (2014). Copulas and regression models. Journal of
Indian Statistical Association, 52, 103-124.
   
63
 Upadhye, N. S. and Vellaisamy, P. (2013). Improved bounds for approximations to compound distributions. Statistics & Probability Letters, 83, 467-473.
   
62
 Vellaisamy, P., Upadhye, N. S. and Cekanavicius, V. (2013). On negative binomial approximation. Theory of Probability and Its Applications, 57, 97-109.
   
61
 Mahapatra, A. K., Kumar, S. and Vellaisamy, P. (2013). Improved estimators for the reliability of a series system. International Journal of Reliability, Quality and Safety Engineering, 20, 1-23.
.
   
60
 Meerschaert, M. M., Nane, E. and Vellaisamy, P. (2013). Transient anomalous subdiffusions
on bounded domains. Proceedings of American Mathematical Society, 141, 699-710.
   
59
 Vellaisamy, P., Ghosh, S. and Sreehari, M. S. (2012). On the construction and the cardinality of finite
sigma-filelds. Journal of Analysis, 20, 103-119.
   
58
 Vellaisamy, P. (2012). Simpson's paradox and collapsibility. Journal of Indian Statistical Association, 50, 297-317
   
57
 Kumar, A. and Vellaisamy, P. (2012). Fractional normal inverse Gaussian process. Methodology and Computing in Applied Probability, 14, 263-283.
   
56
 Mahapatra, A. K., Kumar, S. and Vellaisamy, P. (2012). Simultaneous estimation of the
hazard rates of several exponential populations. Statistica Neerlandica, 66, 121-132.
   
55
 Vellaisamy, P. (2012). Average collapsibility of distribution dependence and quantile
regression coefficients. Scandinavian Journal of Statistics, 39, 153-165.
   
54
 Al-Mosawi, R. R., Shanubhogue, A. and Vellaisamy, P. (2012). Average worth estimation
of the selected subset of Poisson populations. Statistics, 46, 813-831.
   
53
 Al-Mosawi, R. R., Vellisamy, P. and Shanubhogue, A. (2011). Risk-unbised estimation of the average worth of the selected subset of Poisson populations. Journal of Indian Statistical Association, 49, 55-72.
   
52
 Kayal, S. and Vellaisamy, P. (2011). Generalized entropy properties of records. Journal of Analysis, 19, 25-40.
   
51
 Meerschaert, M. M., Nane, E. and Vellaisamy, P. (2011). The fractional Poisson processes
and the inverse stable subordinator. Electronic Journal of Probability, 16, 1600-1620.
   
50
 Kumar, A., Nane, E. and Vellaisamy, P. (2011). Time-changed Poisson processes. Statis-
tics & Probability Letters, 81, 1899-1910.
   
49

Meerschaert, M. M., Nane, E. and Vellaisamy, P. (2011). Distributed-order fractional diffusions on bounded domains. Journal of Mathematical Analysis and Applications, 379, 216-228
   
48
 Kumar, A., Meerschaert, M. M. and Vellaisamy, P. (2011). Fractional normal inverse Gaussian diffusion. Statistics & Probability Letters, 81, 146-152.
   
47
 Hardt, J., Vellaisamy, P. and Schoon, I. (2010). Sequelae of prospective versus retrospective reports of adverse childhood experiences. Psychological Reports, 107, 425-440.
   
46
 Vellaisamy, P. and Riyadh, Al-Mosawi. (2010). Simultaneous estimation of Poisson means
of the selected subset. Journal of Statistical Planning and Inference,140, 3355-3364
   
45

Vellaisamy, P. and Kumar, M. (2010). Design of optimal reliability test plans for a series system based on mixed-censoring. Journal of Applied Statistical Science, 17, 1-10.
   
44
 Vellaisamy, P. and Sreehari, M. (2010). Some intrinsic properties of the gamma distribution. Journal of Japan Statistical Society, 40, 133-144.
   
43
 Cekanavicius, V. and Vellaisamy, P. (2010). Compound Poisson and signed compound
Poisson approximations to the Markov binomial law. Bernoulli, 16, 1114-1136.
   
42
 Vellaisamy, P. and Vijay, V. (2010). Collapsibility of contingency tables based on condi-
tional models. Journal of Statistical Planning and Inference, 140, 1243-1255.
   
41

Kumar, S. and Vellaisamy, P. (2009). Estimation after selection: a review. Journal of
Indian Society for Probability and Statistics, 11, 35-49.
   
40
 Kumar, S., Mahapatra, A. K., and Vellaisamy, P. (2009). Reliability estimation of the selected exponential population. Statistics & Probability Letters, .79, 1372-1377.
   
39.
Vellaisamy, P. and Upadhye, N. S. (2009). On the sums of compound negative binomial and gamma random variables. Journal of Applied Probability, 46, 272-283.
   
38
Vellaisamy, P. (2009). A note on unbised estimation following selection. Statistical Methodology, 6, 389-396.
   
37.
Vellaisamy, P. and Upadhye, N. S. (2009). Compound negative binomial approximations for sums of random variables. Probability and Mathematical Statistics, 29, 205-226.
   
36
Meerschaert, M. M., Nane, E. and Vellaisamy, P. (2009). Fractional Cauchy problems on bounded domains. Annals of Probability, 37, 979-1007.
   
35.
De Los Reyes, J. P., Das, A., Midha, C. K. and Vellaisamy, P. (2009). On a method to construct magic rectangles of even order. Utilitas Mathematica, 80, 277-284.
   
34.
Vellaisamy, P. and Vijay, V. (2009). Log-Linear Modeling using conditional log-linear structures. Annals of the Institute of Statistical Mathematics, 61, 309-329.
   
33.
Vellaisamy, P. and Kumar, M. (2008). Optimal component test plans for a parallel system based on Type-II censoring. Statistical Methodology, 5, 454-461.
 
32.
Vellaisamy, P. and Jain, Sushmita. (2008). Estimating the parameter of the population selected from discrete exponential family. Statistics & Probability Letters, 78, 1076- 1087.
 
31.
Vellaisamy, P. and Vijay, V. (2008). On collapsibility of regression coefficients and its extensions. Journal of Statistical Planning and Inference, 138, 982-994.
 
30.
Sinha, K., Vellaisamy, P. and Sinha, N. (2008). Kronecker sum of binary orthogonal arrays. Utilitas Mathematica, 75, 249-257.
 
29.
Vellaisamy, P. and Vijay, V. (2007). Some collapsibility results for n−dimensional contingency tables. Annals of Institute of the Statistical Mathematics, 59, 557-576.
 
28.
Vellaisamy, P. and Upadhye, N. S. (2007). On the negative binomial distribution and its generalizations. Statistics & Probability Letters, 77, 173-180.
 
27.
Vellaisamy, P. and Sankar, S. (2005). A unified approach for modeling and designing attribute sampling plans for monitoring some general dependent production processes. Methodology and Computing in Applied Probability, 7, 307-323.
 
26.
Vellaisamy, P. (2004). Poisson approximation for (k1, k2) events via Stein-Chen method. Journal of Applied Probability, 41, 1081-1092.
 
25.
Vellaisamy, P. (2003). Quantile estimation of the selected exponential population. Journal
of Statistical Planning & Inference, 115, 461-470.
 
24.
Vellaisamy, P., Sankar, S. and Taniguchi, M. (2003). Estimation and design of sampling
plans for monitoring dependent production process. Methodology and Computing in Applied Probability, 5, 85-108.
 
23.
Moeschlin, O. and Vellaisamy, P. (2002). On empirical Bayes estimators for the selected gamma populations. American Journal of Mathematical and Management Science, 22, 5-14.
 
22.
Vellaisamy, P. and Abraham, P. (2002). Improved estimators for the selected location parameters. Statistical Papers, 43, 291-299.
 
21.
Vellaisamy, P. and Sankar, S. (2002). Two-stage component test plans for testing the reliability of a series system. Naval Research Logistics, 49, 95-116.
 
20.
Hande, S. and Vellaisamy, P. (2001). Some majorization properties of order statistics from heterogeneous populations. Metron, 4, 55-65.
 
19.
Vellaisamy, P. and Sankar, S. (2001). Sequential and systematic sampling plans forMarkov dependent production process. Naval Research Logistics, 48, 451-467.
 
18.
Vellaisamy, P. and Abraham, P. (2001). On the nature of the binomial distribution. Journal of Applied Probability, 38, 36-44.
 
17.
Vellaisamy, P. and Chaudhuri, B. (1999). On compound Poisson approximations for sums of random variables. Statistics & Probability Letters, 41, 179-189.
 
16.
Vellaisamy, P. and Chaudhuri, B. (1998). A note on Poisson approximation of certain compound distributions. Gujarat Statistical Review, 24, 35-42.
 
15.
Sankar, S. and Vellaisamy, P. (1997). Double sampling rectifying inspection OQ Plans.
Journal of Applied Statistical Science, 6, 67-75.
 
14.
Vellaisamy, P. (1997). Simultaneous estimation of the selected subset of uniform populations. Journal of Applied Statistical Science, 5, 39-46.
 
13.
Tiku, M. L. and Vellaisamy, P. (1996). Improving the efficiency of survey sample procedures through order statistics. Journal of Indian Society of Agricultural Statistics, 49, 215-236.
 
12.
Vellaisamy, P. (1996). On the number of successes in dependent trials. Communications in Statistics-Theory and Methods, 25, 1745-1756.
 
11.
Vellaisamy, P. (1996). A note on the estimation of selected scale parameters. Journal of Statistical Planning & Inference, 55, 39-46.
 
10.
Vellaisamy, P. and Chaudhuri, B. (1996). Poisson and compound Poisson approximations for random sums of random variables. Journal of Applied Probability, 33, 127-137.
 
9.
Vellaisamy, P. and Sankar, S. (1995). Minimum variance double sampling rectifying inspection plans. Journal of Indian Statistical Association, 33, 93-105.
 
8.
Vellaisamy, P. (1993). On UMVU estimation following selection. Communications in Statistics - Theory and Methods, 22, 1031-1043.
 
7.
Vellaisamy, P. (1993). Inadmissibility results for the selected scale parameters. Annals of Statistics, 20, 2183-2191.
 
6.
Vellaisamy, P. (1992). Average worth and simultaneous estimation of the selected subset. Annals of the Institute of Statistical Mathematics, 44, 551-562.
 
5.
Vellaisamy, P. and Sharma, D. (1990). On estimation after subset selection from exponential populations. Sankhya, Ser. B., 52, 305-318.
 
4.
Sharma, D. and Vellaisamy, P. (1989). Quantile estimation of the selected normal population. Sankhya, Ser. B., 51, 311-322.
 
3.
Vellaisamy, P. and Sharma D. (1989). A note on the estimation of the selected gamma population. Communications in Statistics - Theory and Methods, 18, 555-560.
 
2.
Vellaisamy, P., Kumar, S. and Sharma,D. (1988). Estimating the mean of the selected uniform population. Communications in Statistics - Theory and Methods, 17, 3447-3475.
 
1
 Vellaisamy, P.and Sharma, D. (1988). Estimation of the mean of the selected gamma population. Communications in Statistics - Theory and Methods 17, 2797-2817.
   
.
2. Chapters in Books / Edited Proceedings
   
1.
 Maheshwari, A. and Vellaisamy, P. (2013). Some recent results on fractional diffusions. Fractional Calculus:Theory and Applications. Edited by Varsha Daftardar-Gejji, Narosa Publishing House, New Delhi, 169-190.
   
2
 Vellaisamy, P. and Cekanavicius, V. (2014). Non-uniform approximations for sums of discrete m-dependent random variables. Contemporary Developments in Statistical Theory: A Festschrift for Hira Lal Koul. Editors: Soumendra Lahiri, Anton Schick, Ashis Sengupta and T. N. Sriram. Springer Proceedings in Mathematical Sciences, 375-393.
   
3
 Meerschaert, M. M., Nane, E. and Vellaisamy,P. (2018). Inverse stable subordinators and
time fractional equations. Chapter for Handbook of Fractional Calculus with Applications,
De Gruyter, Germany.
   
4
 Kataria, K. K. and Vellaisamy, P. (2018). Adomian Decomposition method and fractional
Poisson processes: a survey. Proceedings of the National Conference on Fractional
Calculus and Fractional Di erential Equations. Editor: Varsha Daftardar-Gejji, Springer,
India.