Main Research Interests:

Nonparametric statistical inference, Limit distribution theory and asymptotic efficiencies of test procedures, Directional data analysis, Goodness of fit tests.

Books:

Publications:

• Problems of association for bivariate circular data and a new test of independence (with Puri, M.L.), in Multivariate Analysis IV, (ed. P.R. Krishnaiah) North Holland Publ. Co., Amsterdam. (1977), 513-522.

• A simple test for goodness of fit based on spacings with some efficiency comparisons (with Puri, M.L. and Yoon, Y.), in Contributions to Statistics, (ed. J. Jureckova) J. Hajek Memorial Volume Academia (Prague), (1979), 197-209.

• A characterization of the uniform distribution on the circle (with Kent, J.T.and Mardia, K.V.), Ann. Statist., 7 (1979), 882-889.

• Tests based on higher order spacings (with M. Kuo), Proc. of International Statistical Institute Contributed Papers, 42nd Session, Manila, Philippines (1979), 301-306.

• Pitman efficiencies of some two-sample nonparametric tests (with K.V. Mardia), in Recent Developments in Statistical Inference and Data Analysis, (ed. K. Matusita) North Holland Publ. Co., Amsterdam. (1980), 247-254.

• Asymptotic theory for families of two-sample nonparametric statistics (with Lars Holst), Sankhya, 42, Ser. A (1980), 19-52.

• A characterization of Gaussian spaces (with J.B. Robertson), Journal of Multivariate Analysis, 10 (1980), 599-602.

• Incomplete Dirichlet Integrals with applications to ordered uniform spacings (with M. Sobel), Journal of Multivariate Analysis, 10 (1980), 603-610.

• Asymptotic spacings theory with applications to the two-sample problem (with Lars Holst), Canadian J.of Statist., 9 (1981), 79-89.

• Estimation problems for rectangular distributions (or the taxi problem revisited), Metrika, 28 (1981), 257-262.

• A two-sample nonparametric test based on spacings frequencies (with V.K. Murthy), Proc. of International Statistical Institute Contributed Papers, 43rd session, Buenos Aires, Argentina (1981), 223-227.

• On tests for the two-sample problem based on higher order spacing-frequencies (with R.L. Schweitzer). Statistical Theory and Data Analysis, (ed. K. Matusita), North-Holland Publishing Co. (1982), 583-618.

• Comparison of the limiting efficiencies of two chi-square type tests for the circle (with Y. Yoon), Jour. Indian Statistical Association, 21 (1983), 19-26.

• Bayesian nonparametric estimation of failure rates with censored data (with R.C. Tiwari), Calcutta Statist. Assoc. Bull. 32 (1983), 79-90.

• One- and two-sample match statistics (with R.C. Tiwari), Statistics and Probability Letters, 1 (1983), 129-135.

• A measure of association for circular data (with Y.R. Sarma), Proc.of International Statistical Inst. Contributed Papers, 44th Session, Madrid (Spain), (1983), 571-574.

• On ordered uniform spacings for testing goodness of fit, in Statistical Extremes and Applications, (ed. T. de Olivera) Reidel Publ. Co. (1983), 589-596.

• Limit theory and efficiencies for tests based on higher order spacings (with M. Kuo), in Statistics- Applications and New Directions, (eds. J.K. Ghosh and J. Roy), Indian Statist. Instt., Calcutta (1984), 333-352.

• Asymptotic normality and relative efficiencies of tests based on modified spacings (with J. Sethuraman), Tamkang Jour. of Mathematics, 15 (1984), 55-76.

• Asymptotic results on the Greenwood statistic and some of its generalizations (with M. Kuo), Jour. Royal Statist. Soc. Ser. B., 46 (1984), 228-237.

• Nonparametric methods in directional data analysis, in Nonparametric Methods, Handbook of Statistics, Vol. IV (eds. P.R. Krishnaiah and P.K. Sen), North Holland Publ. Co. (1984), 755-770.

• On the limiting distribution of the number of near-matches (with S. Janson), Statistics and Probability Letters, 2 (1984), 353-356.

• Estimation of survival function and failure rate (R.C. Tiwari), Statistics, (previously Math. Operationsforsch. U. Statist.), 16 (1985), 535-540.

• On the Bayes estimate of a functional of two distributions (with R.C. Tiwari), Calcutta Statist. Assoc. Bul., 34 (1985), 15-22.

• Asymptotic comparison of three tests for goodness of fit (with R.C. Tiwari), Jour. of Statistical Planning and Inference, 12 (1985), 295-304.

• Pitman efficiencies of some goodness of fit tests, Proc. of International Statistical Inst. Contributed Papers, 45th Session, Amsterdam (Netherlands), (1985), 527-530.

• Bayes and empirical Bayes estimation of the probability that Z > X +Y (with R.C. Tiwari and J.N. Zalkikar), Commun. Statist. - Theory. Meth. ,15 (1986), 3079-3101.

• Limit theorems for a triangular scheme of U-statistics with applications to inter-point distances, (with S. Janson), Ann. Probability, 14 (1986), 1347-1358.

• Functional assessment of knee and ankle during level walking (with N. Bhadra, D. Chaturvedi, T.K. Kutty, P.P. Majumdar and G. Poduval), in Data Analysis in the Life Sciences, (ed. T. Krishnan) Indian Statistical Institute, Calcutta, (1986), 21-54.

• Efficiencies of some disjoint spacings tests relative to a chi-square test (with R.C. Tiwari), in New Perspectives in Theoretical and Applied Statistics (eds. M.L. Puri, J. Vilaplana and W. Wertz) John Wiley (1987), 311-317.

• A New Definition of the Predictive Likelihood (with S. Chib and R.C.Tiwari), Statistics and Probability Letters, 5, (1987), 113-118.

• Another look at some results on the recursive estimation in the General Linear Model (with S. Chib and R.C. Tiwari), American Statistician, 41 (1987), 56-58.

• Bayes Prediction in the Linear Model with spherically symmetric errors (with S. Chib and R.C. Tiwari), Economics Letters, 24 (1987), 39-44.

• A correlation coefficient for angular variables (with Y.R. Sarma), in Statistical Theory and Data Analysis II, (ed. K. Matusita) North Holland Publishing Co.(1988), 349-364.

• Bayes prediction in regressions with elliptical errors (with S. Chib and R.C. Tiwari), Journal of Econometrics, 38 (1988),349-360.

• A test of goodness of fit based on extreme spacings with some efficiency comparisons (with M. Wells), Metrika, 35 (1988), 223-232.

• Bayes prediction density and regression estimation - a semiparametric approach (with R.C. Tiwari and S. Chib) Empirical Economics, 13 (1988), 209-222.

• Bayes prediction density and regression estimation - a semiparametric approach (with R.C. Tiwari and S. Chib). Also reprinted in Semiparametric and Nonparametric Econometrics - Studies in Empirical Economics (ed. Aman Ullah), Physica-Verlag, Heidelberg, (1989), 87-100.

• Bayes and empirical Bayes estimation of survival function under progressive censoring (with R.C. Tiwari and J.N. Zalkikar), Communications in Statistics - Theory and Methods, 17 (10) (1988), 3591-3606.

• A class of large sample tests for bivariate exponentiality versus BIFRA and BNBU-(to, to ) alternatives (with R.C. Tiwari and J.N. Zalkikar), Statistics, 20 (1989), 297-304.

• Testing an increasing failure rate average distribution with censored data (with R.C. Tiwari and J.N. Zalkikar), Statistics, 20 (1989), 279-286.

• Bayes estimation of the multiple correlation coefficient (with S. Chib and R.C. Tiwari), Comm. in Statistics - Theory and Methods, 18 (1989) 1401-1413.

• A test of goodness of fit based on extreme multinomial cell frequencies (with R.C. Tiwari and M. Wells) Comm. in Statistics -Theory and Methods, 18 (1989) 1527-1547.

• Is p a prime number? Some probabilistic tests for primality (with V.R.R. Uppuluri), Math.Scientist, 14 (1989), 55-61.

• Rank correlation based on "near-matches" (with M.R. Kafai), Proc. of International Statistical Instt. Contributed Papers, 47th session, Paris (France) (1989), 501-502.

• A rank test for stochastically ordered alternatives. (with G. Aras and M. Kafai), Comm. in Statistics, (1989) 18, pp 2263-2277.

• Limit distribution of spacing statistics when the sample size is random (with G. Aras and X. Zhou) Statistics and Probability Letters, 8, (1989), 451-457.

• Bahadur efficiencies of spacings tests for goodness of fit (with X.Zhou), Ann. Inst. of Statist. Math., 41 (1989), 541-553.

• Nonparametric Bayes estimation of Multivariate regression with a Dirichlet Invariant prior (with S. Chib and R.C. Tiwari), Recent Developments in Statistics and Actuarial Science (eds. M.S. Haq and S.B. Provost), Univ. of Western Ontario, Canada (1989), 201-215.

• On Bayes smoothing in a time varying regression model (with S. Chib and R.C. Tiwari), in Bayesian and Likelihood methods in Statistics and Econometrics, Essays in honor of George Barnard (eds. S. Geisser et al) North Holland Publ. Co. (1990) 105-119.

• Asymptotic efficiencies of spacings tests for goodness of fit (with Xian Zhou and R.C. Tiwari), Metrika (1989) 36, 355-377.

• On an interval splitting problem (with T. Bruss and X. Zhou), Statistics and Probability Letters, (1990), 10, 321-324.

• Testing for exponentiality against IFRA alternatives using a U-statistic process (with R.C. Tiwari and J.N.Zalkikar), Revista Brasileira de Probabilidade e Estatistica (1990), 4, 147-159.

• Some goodness of fit tests in higher dimensions based on interpoint distances (with X. Zhou), in Probability, Statistics and Design of Experiments (ed. R.R. Bahadur) Wiley Eastern, New Delhi, (1990) 391-404.

• On a problem in Semiparametric Estimation (with X. Wan) Nonparametric Functional Estimation and Related topics, NATO Advanced Study Institute Volume (ed. G. Roussas), Kluwer Acad. Publishers (1991), 647-656.

• Large sample distribution of the sample total in a generalized rejective sampling scheme (with G. Michaletzky and P. Todorovic), Statistics and Probability Letters, (1991), 11, 463-468.

• Statistical Training at the Universities - some views, Bulletin of the International Statistical Instt. 48th Session, Cairo, Egypt (1991) 54, Book 1,1-9.

• Statistical Training at the Universities - some views, Also reprinted in Medianen (1991), Journal of the Swedish Statistical Soc. Committee on Education, 2-10.

• A rank test based on the number of near-matches, for ordered alternatives in Randomized blocks (with M. Ebneshahrashoob, P.K. Sen and R.C. Tiwari), Sankhya (1991), 53 Ser. A.,183-193.

• On locally optimal tests for the mean direction of the Langevin distribution (with A. SenGupta), Statistics and Probability Letters, 12 (1991), 537-544.

• Multivariate Optimality and Related Topics, Editor (jointly with A. SenGupta) Special Issue of Statistics and Probability Letters (North Holland 1991).

• 1990 Niakuk Environmental Monitoring Program (with M.S. Horgan, G. Davis, S.G. Atwater, J.T. Gunn), (ed. R.K. Dewey) Science Applications International Corp., Bellevue, WA (1991) Vol. 1 (160 pp.), Vol. 2 (245 pp.).

• Tests of fit using spacings statistics with estimated parameters (with M.T. Wells and R.C. Tiwari) Statistics and Probability Letters (1992), 13, 365-372

• Large sample theory of spacings statistics for tests of fit for the composite hypothesis (with M. Wells and R.C. Tiwari), Journ. of Royal Statist. Soc. (Ser. B) (1993), 55, 189-203.

• Goodness of fit in multidimensions based on nearest neighbor distances (with X. Zhou), Journal of Nonparametric Statistics, 2, (1993), 271-284.

• Empirical Spacings process and bootstrapped version, Bull. of the Int. Statist. Instt. Contributed Papers, 49th Session, Florence (Italy), 2, (1993), 23-24.

• Statistical inference from discrete life-history data (with D. Sengupta) Probability and Statistics, (eds. S.K. Basu and B.K. Sinha) Narosa Publ. House, New Delhi, (1993), 254-261.

• Circular Regression (with Y.R. Sarma) Statistical Sciences and Data Analysis, (Netherlands), (1993), 109-128, (eds. K. Matusita et al), VSP, Utrecht

• Inference from Discrete Life History Data: a counting process approach (with D. Sengupta) Scandinavian Journal of Statistics (1993), 20, 51-62.

• Local sensitivity of posterior distributions and posterior quantities (with S. Basu and W. Liu) Proceedings of the Section on Bayesian Statistical Science, Amer Statistical Assoc.(1993), 1-6.

• Modern Statistical Education - Some international prospectives, in Modern Interdisciplinary Univ. Statistics Education, (ed. J.R Tucker), Comm. on Appld. and Theoretical Statistics, National Research Council, National Academy of Sciences, (1994), 61-71.

• Updates of Statistics in a General Linear Model: A statistical interpretation and Applications (with P. Bhimasankaram) Comm. in Statistics (1994), 23, 789-801.

• Future Statistical Training- Some Observations, Proc. of the Fourth International Conference on Teaching Statistics, International Statistical Institute, (1994), 202-207.

• Recursive estimation and testing in general linear models with applications to Regression diagnostics (with P. Bhimasankaram) Tamkang Journal of Mathematics, (1994), 25 , 353-366.

• Some Results on the Empirical Spacings Process and its Bootstrapped Version (with J. Qin), in Multivariate Statistics, (1995), 17-33 (ed E.M. Tiit et. al), VSP, Utrecht, Netherlands.

• Stability of Bayes Estimators and Posterior Distributions, Bull. of the International Statistical Institute, Contributed Papers, Vol. 1, 50th Session, Beijing, China 1995, 549-550.

• Local posterior robustness with parametric priors: Maximum and Average sensitivity (with S. Basu and W. Liu), in Maximum Entropy and Bayesian Statistics (ed G. Heidbreder)(1996), 97-106. Kluwer Academic Publishers, Netherlands.

• A Bayesian Approach to some problems in Spatial Inference(with R. Machiraju)(1996), in Proc. of the ICCS V, Malang, Indonesia, Invited Papers, Vol. A-3, 1-13.

• The effect of computational and measurement errors on ARMA likelihood , (with C. Wu and W. Wang, in Chinese), Journal of Fuzhou University (1996), 24, Number 5, 20-25

• Linear Zero Functions in GLM updates, Bulletin of the International Statistical Institute, Contributed Papers Vol.2 (1997), 83-84, 51st Session, Istanbul, Turkey.

• Small sample Approximations for Spacings Statistics (with K. Ghosh), Journal of Statistical Planning and Inference (1998),69,245-261.

• Testing for Harmonic New Better than Used in Expectation (with E. Lee), Probability in the Engg. and Informational Sciences (1998), 12, 409-416.

• A Test for Second-order Stochastic Dominance (with E. Lee), Stochastic Modelling and Applications (1998), 1, 1-16.

• Predictive Inference for Directional Data (with A. SenGupta), Statistics and Probability Letters,(1998), 40, 247-257.

• Stability and Infinitesimal Robustness of Posterior Distributions and Posterior Quantities (with S. Basu and W. Liu), Journal of Statistical Planning and Inference , (1998), 71, 151-162.

• Changes in the General Linear Model: A Unified Approach, (with D. Sengupta), Linear Algebra and its Applications, (1999), 289, 225-242.

• The influence of numerical and observational errors on the likelihood of an ARMA series (with C. Wu and W. Wang), Journal of Time Series Analysis, (1999), 20, 223-235.

• Change-point problems for the von Mises distribution (with K. Ghosh and M. Vasudevan), Jour. of Applied Statistics, (1999), 26, 423-434.

• A conditional saddlepoint approximation for testing problems (with R. Gatto), Jour of American Statist. Assoc., (1999), 94, 533-541.

• An entropy-based test for goodness of fit of the von Mises distribution (with U. Lund), Jour of Statistical Computation and Simulation , (2000) 67, 319-332.
  
• Poisson limits for pairwise and area interaction point processes (with M. Penrose), Advances in Applied Probab., (2000), 32, 75-85.
  
• A Wrapped Exponential Circular model (with T. Kozubowski), Proc of the Andhra Pradesh Acad of Sciences , Hyderabad, (2000), 5, No.1, 43-56.

• Some recent results on inference based on spacings, (with K. Ghosh), in Asymptotics in Statistics and Probability, (Ed. M. L. Puri), VSP.(2000), 185-196.
  
  
• A general estimation method using spacings (with K. Ghosh), Jour of Statistical Planning and Inference, (2001), 93, 71-82.
  
  
• Geometry and optimal unconditional tests for the mean direction of the von Mises distribution (with A. SenGupta), Stochastic Modelling and Applications, (2001), 4, 16-37.
  
  
• Unimodality of circular data- A Bayes test, (with S. Basu), Adv. on Methodological and Applied Aspects of Probability and Statistics, (Eds. N. Balakrishnan et al), (2002), Taylor and Francis, New York, 141-153 .
  
  
• Advances on Methodological and Applied Aspects of Probability and Statistics, (Editor with N. Balakrishnan et al), Taylor and Francis, New York. (2002).
  
  
• A Saddlepoint Approximation for testing Exponentiality against some Increasing Failure RAte Alternatives, (with R. Gatto), (2002), Statistics and Probability Letters, 58, 71-81 .
  
  
• Nonparametric Estimation for Middle-censored data (with M. Vasudevan), Journal of Nonparametric Statistics, (2003), 15,253-265.
  
  
• Semiparametric Bayesian Techniques for Problems in Circular Data, (with K. Ghosh and R.C. Tiwari), Journal of Applied Statistics, (2003), 30,145-161.
  
  
• Inference for wrapped symmetric alpha-stable circular models (with R. Gatto), Sankhya, (2003), 65, 333-355.
  
  
• A New Family of Circular Models: The Wrapped Laplace Distributions, (with T. Kozubowski), (2003), Advances and Applications in Statistics,3, No.1, 77-103.
  
  
• A Simple Estimate of the Index of Stability for Symmetric Stable Distributions (with S. Iyer), Stochastic Modelling and Applications,(2003), 6, No.1, 9-19.
  
  
• Testing Exponentiality by comparing the Empirical Distribution Function of the Normalized Spacings with that of the Original Data, (with E. Taufer), Jour. Nonparametric Statistics, (2003), 15, No.6, 719-729.
  
  
• Approximate Self Consistency for Middle-Censored Data, (with S. Iyer), Jour. of Statist. Planning and Inference,(2004), 124, 75-86.
  
  
• A Test of Goodness of Fit based on Gini's Index of Spacings, (with M. N. Goria), Statistics and Probability Letters, (2004), 68, 177-187.
  
  
• New families of wrapped distributions for modeling skew circular data, (with T. Kozubowski), Comm. in Statistics- Theory and Methods, (2004), 33, No.9, 2059-2074.
  
  
• The Maximum Spacing Estimation for Multivariate Observations, (with Bo Ranneby and A. Teterukovskiy), Jour. of Statistical Planning and Inference, (2005), 129, 427-446
  
  
• The effect of wind direction on Ozone levels - a case study (with U. Lund), Environmental and Ecological Statistics, (2006), 13, 287-298.
  
  
• Higher oder Cumulants of Random Vector, Differential Operators, and Applications to Statistial Inferences and Time series (with Gyorgy Terdik and T. Subba Rao), Sankhya, (2006), 68, 326-356.
  
  
• Small sample asymptotics for higher-order spacings, (with R. Gatto), "Advances in Distributions, Order Statistics, and Inference," (Eds. Balakrishnan, N., Castillo, E., and Sarabia, J.M.), Birkhauser, (2006), 239-252, Birkhauser.
  
  
• An Asymptotically distribution-free test of symmetry, (with M. Ekstrom), Jour. of Statist. Planning and Inference, (2007), 137, 799-810.
  
  
• Use of Mean Residual Life in testing departures from Exponentiality, (with E. Tauffer), Jour. of Nonparametric Statistics, (2006), 18, 277-292.
  
  
• On Multivariate Nonlinear Regression Models with Stationary Correlated Errors, (with Gyorgy Terdik and T. Subba Rao), to appear in Jour. of Statist. Planning and Inference.



• The Generalized von Mises Distribution (with R. Gatto), to appear in Statistical Methodology.



• Generalized Mixture Models, Semi-supervised Learning, and Unknown Class Inference (with S. Frame), to appear in Advances in Data Analysis and Classification.



• Analysis of Middle-censored data with Exponential Lifetime Distributions (with S.K. Iyer and D. Kundu), to appear in Jour. of Statist, Planning and Inference.



• Inclusion and Exclusion of Data or Parameters in the General Linear Model (with D. Sengupta), to appear in Statistics and Probability Letters.