Publications of Nickos Papadatos
In Journals
Intermediate order statistics with applications to nonparametric estimation (pdf), Papadatos, N., Statistics and Probability Letters 22 (1995), 231-238.
Maximum variance of order statistics (pdf), Papadatos, N., Annals of the Institute of Statistical Mathematics 47 (1995), 185-193.
Distance in variation between two arbitrary distributions via the associated w-functions (pdf), Papadatos, N.; Papathanasiou, V., Theory of Probability and its Applications 40 (1995), 685-694.
Distance in variation and a Fisher - type information (pdf), Papadatos N.; Papathanasiou V., Mathematical Methods of Statistics 4 (1995), 230-237.
A generalization of variance bounds (pdf), Papadatos, N.; Papathanasiou, V., Statistics and Probability Letters 28 (1996), 191-194.
A note on maximum variance of order statistics from symmetric populations (pdf), Papadatos, N., Annals of the Institute of Statistical Mathematics 49 (1997), 117-121.
Exact bounds for the expectations of order statistics from non-negative populations (pdf), Papadatos, N., Annals of the Institute of Statistical Mathematics 49 (1997), 727-736.
Variance inequalities for covariance kernels and applications to central limit theorems (pdf), Cacoullos, T.; Papadatos, N.; Papathanasiou, V., Theory of Probability and its Applications 42 (1997), 195-201.
Total variation distance and generalized covariance kernels (pdf), Papadatos, N.; Papathanasiou, V., Mathematical Methods of Statistics 7 (1998), 230-244.
Variational inequalities for arbitrary multivariate distributions (pdf), Papadatos, N.; Papathanasiou, V., Journal of Multivariate Analysis 67 (1998), 154-168.
Upper bound for the covariance of extreme order statistics from a sample of size three (pdf), Papadatos, N., Sankhya Ser. A 61 (1999), 229-240.
Expectation bounds on linear estimators from dependent samples (pdf), Papadatos, N., Journal of Statistical Planning and Inference 93 (2001), 17-27.
Distribution and expectation bounds on order statistics from possibly dependent variates (pdf), Papadatos, N., Statistics and Probability Letters 54 (2001), 21-31.
An application of a density transform and the local limit theorem (pdf), Cacoullos, T.; Papadatos, N.; Papathanasiou, V., Theory of Probability and its Applications 46 (2001), 803-810.
The use of spacings in the estimation of a scale parameter (pdf), Balakrishnan, N.; Papadatos, N., Statistics and Probability Letters 57 (2002), 193-204. (see also Περί μη-αρνητικότητας των BLUE και BLIE και δύο αντιπαραδείγματα (May 2009, pdf, in Greek))
Poisson approximation for a sum of dependent indicators: an alternative approach (pdf), Papadatos, N.; Papathanasiou, V., Advances in Applied Probability 34 (2002), 609-625.
Bounds on expectation of order statistics from a finite population (pdf), Balakrishnan, N.; Charalambides, C.; Papadatos, N., Journal of Statistical Planning and Inference 113 (2003), 569-588.
Multivariate covariance identities with an application to order statistics (pdf), Papadatos, N.; Papathanasiou, V., Sankhya 65 (2004), 317-336.
Bounds on expectations of L-statistics from without replacement samples (pdf), Papadatos, N.; Rychlik, T., Journal of Statistical Planning and Inference 124 (2004), 117-136.
Heteroscedastic one-way ANOVA and lack of fit tests (pdf), Akritas, M.; Papadatos, N., Journal of the American Statistical Association 99 (2004), 368-382.
The discrete Mohr and Noll inequality with applications to variance bounds (pdf), Afendras, G.; Papadatos, N.; Papathanasiou, V., Sankhya 69 (2007), 162-189, see also the Attached Technical Report (pdf)
An extended Stein-type covariance identity for the Pearson family, with applications to lower variance bounds (pdf), Afendras, G.; Papadatos, N.; Papathanasiou, V., Bernoulli 17 (2011), No 2, 507-529. DOI: 10.3150/10-BEJ282. A version of this paper is also in arXiv:1007.3662.
On matrix variance inequalities (pdf), Afendras, G.; Papadatos, N., Journal of Statistical Planning and Inference 141 (2011) 3628-3631. DOI: 10.1016/j.jspi.2011.05.016. A version of this paper is also in arXiv:1103.5447.
Linear estimation of location and scale parameters using partial maxima (pdf), Papadatos, N., Metrika 75 (2012), 243-270. DOI: 10.1007/s00184-010-0325-5. This paper is also in arXiv:1009.1312. For a measure-theoretic proof of Lemma 4.1 see Lemma 4.1(pdf).
Self-inverse and exchangeable random variables (pdf), Cacoullos, T.; Papadatos, N., Statistics and Probability Letters 83 (2013), 9-12. A version of this paper is also in arXiv:1204.1633.
A simple method for obtaining the maximal correlation coefficient and related characterizations (pdf), Papadatos, N.; Xifara, T., Journal of Multivariate Analysis 118 (2013) 102-114. A version of this paper is also in arXiv:1204.1632.
Strengthened Chernoff-type variance bounds (pdf), Afendras, G.; Papadatos, N., Bernoulli 17 (2014), No 1, 245-264. DOI: 10.3150/12-BEJ484. A version of this paper is also in arXiv:1107.1754.
An extension of the disc algebra, II (pdf), Nestoridis, V.; Papadatos, N., Complex Variables and Elliptic Equations: An International Journal 59 (2014), No. 7, 1003-1015. DOI: 10.1080/17476933.2013.804515. A version of this paper is also in arXiv:1012.3674 under the title "Another extension of the disc algebra".
Some counterexamples concerning maximal correlation and linear regression (pdf), Papadatos, N., Journal of Multivariate Analysis 126 (2014) 114-117. DOI: 10.1016/j.jmva..2013.12.008. A version of this paper is also in arXiv:1205.6248.
Integrated Pearson family and orthogonality of the Rodrigues polynomials: A review including new results and an alternative classification of the Pearson system (pdf), Afendras, G.; Papadatos, N., Applicationes Mathematicae 42(2-3) (2015) 231-267. A version of this paper is also in arXiv:1205.2903 and as an appendix it was previously included in arXiv:1107.1754v1.
Maximizing the expected range from dependent observations under mean-variance information (pdf), Papadatos, N., Statistics 50(3) (2016), 596-629. A version of this paper is also in arXiv:1405.6884.
A factorial moment distance and an application to the matching problem (pdf), Afendras, G.; Papadatos, N., Theory of Probability and its Applications 62 (2017), 617-628.. A version of this paper is also in arXiv:1411.1165.
On sequences of expected maxima and expected ranges (pdf), Papadatos, N., Journal of Applied Probability 54 (2017), 1144-1166. A version of this paper is also in arXiv:1610.06835.
Orthogonal polynomials in the cumulative Ord family and its application to variance bounds (pdf), Afendras, G.; Balakrishnan, N.; Papadatos, N., Statistics 52(2) (2018), 364-392. A version of this paper is also in arXiv:1408.1849.
On the limiting distribution of sample central moments (pdf) Afendras, G.; Papadatos, N.; Piperigou, V. Annals of the Institute of Statistical Mathematics (to appear) arXiv:1806.02314,
Optimal moment inequalities for order statistics from nonnegative random variables (pdf), Papadatos, N. Probability in the Engineering and Informational Sciences (accepted) arXiv:1806.05095
On sequential maxima of exponential sample means, with an application to ruin probability (pdf), Cheliotis, D.; Papadatos, N. Electronic Communications in Probability 24 (2019), no. 74, 1--7. (https://projecteuclid.org/download/pdfview_1/euclid.ecp/1575363644)
In Volumes
Three elementary proofs of the central limit theorem with applications to random sums (pdf), Cacoullos, T.; Papadatos, N.; Papathanasiou, V., In: Stochastic Processes and Related Topics (I. Karatzas, B.S. Rajput and M.S. Taqqu, Eds.), 1998, Birkhauser, Boston, pp. 15-23.
Unified variance bounds and a Stein-type identity (pdf), Papadatos, N.; Papathanasiou, V., In: Probability and Statistical Models with Applications (Ch. A. Charalambides, M.V. Koutras and N. Balakrishnan, Eds.), 2001, Chapman & Hall/CRC, New York, pp. 87-100.
The q-factorial moments of discrete q-distributions and a characterization of the Euler distribution (pdf), Charalambides, C.; Papadatos, N., In: Advances on Models, Characterizations and Applications (N. Balakrishnan et al Eds.), 2004, CRC Press, Boca Raton, pp. 47-58.
Characterizations of discrete distributions using the Rao-Rubin condition (pdf), Papadatos, N., Journal of Statistical Planning and Inference 135 (2005), 222-228.
On Rychlik's expectation bound for L-estimates based on identically distributed variates (pdf), Papadatos, N., In: Recent Developments in Ordered Random Variables (M. Ahsanullah and M.Z. Raqab, Eds.), 2007, Nova Science Publishers, New York, pp. 39-53.
Submitted
The characteristic function of the discrete Cauchy distribution (pdf), Papadatos, N. arXiv:1809.09443
Sequences of expected record values (pdf), Papadatos, N. arXiv:1905.11464
Unpublished Themes
Some facts concerning ratios of random variables (pdf,), Papadatos, N., Personal Communication -- On a Conversation with T. Cacoullos -- June 2010.