Statistical Science

A Conversation with Pranab Kumar Sen

Malay Ghosh and Michael J. Schell

Full-text: Open access

Abstract

Pranab Kumar Sen was born on November 7, 1937 in Calcutta, India. His father died when Pranab was 10 years old, so his mother raised the family of seven children. Given his superior performance on an exam, Pranab nearly went into medical school, but did not because he was underage. He received a B.Sc. degree in 1955 and an M.Sc. degree in 1957 in statistics from Calcutta University, topping the class both times. Dr. Sen’s dissertation on order statistics and nonparametrics, under the direction of Professor Hari Kinkar Nandi, was completed in 1961. After teaching for three years at Calcutta University, 1961–1964, Professor Sen came to Berkeley as a Visiting Assistant Professor in 1964. In 1965, he joined the Departments of Statistics and Biostatistics at the University of North Carolina at Chapel Hill, where he has remained.

Professor Sen’s pioneering contributions have touched nearly every area of statistics. He is the first person who, in joint collaboration with Professor S. K. Chatterjee, developed multivariate rank tests as well as time-sequential nonparametric methods. He is also the first person who carried out in-depth research in sequential nonparametrics culminating in his now famous Wiley book Sequential Nonparametrics: Invariance Principles and Statistical Inference and SIAM monograph. Professor Sen has over 600 research publications. In addition, he has authored or co-authored 11 books and monographs, and has edited or co-edited 11 more volumes. He has supervised over 80 Ph.D. students, many of whom have achieved distinction both nationally and internationally. Professor Sen is the founding co-editor of two international journals: Sequential Analysis and Statistics and Decisions. He is a Fellow of the American Statistical Association and of the Institute of Mathematical Statistics, and an elected member of the International Statistical Institute. Professor Sen was the third recipient of the prestigious Senior Noether Award offered by the Nonparametrics Section of the American Statistical Association. In 2007, a Festschrift was held in his honor at the Nonparametrics Conference on the 70th anniversary of his birth.

This conversation took place at the Speech Communication Center, University of North Carolina at Chapel Hill on November 11, 2005.

Article information

Source
Statist. Sci. Volume 23, Number 4 (2008), 548-564.

Dates
First available: 11 May 2009

Permanent link to this document
http://projecteuclid.org/euclid.ss/1242049394

Digital Object Identifier
doi:10.1214/08-STS255

Mathematical Reviews number (MathSciNet)
MR2530550

Citation

Ghosh, Malay; Schell, Michael J. A Conversation with Pranab Kumar Sen. Statistical Science 23 (2008), no. 4, 548--564. doi:10.1214/08-STS255. http://projecteuclid.org/euclid.ss/1242049394.


Export citation

References

  • Adichie, J. N. (1967). Estimation of regression parameters based on rank tests. Ann. Math. Statist. 38 894–904.
  • Balakrishnan, N., Pena, E. and Silvapulle, M. J. (2008). Pranab Kumar Sen: Life and Works, Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen. IMS, Beachwood, OH.
  • Berk, R. H. (1966). Limiting behavior of posterior distributions when the model is incorrect. Ann. Math. Statist. 37 51–58.
  • Chatterjee, S. K. and Sen, P. K. (1964). Nonparametric tests for the bivariate two-sample location problem. Calcutta Statistical Association Bulletin 13 18–58.
  • Chatterjee, S. K. and Sen, P. K. (1973). Nonparametric testing under progressive censoring. Calcutta Statist. Assoc. Bull. 22 13–50.
  • Chernoff, H. and Savage, I. R. (1958). Asymptotic normality and efficiency of certain nonparametric test statistics. Ann. Math. Statist. 29 972–994.
  • Chu, J. T. and Hotelling, H. (1955). The moments of the sample median. Ann. Math. Statist. 26 593–606.
  • Cox, D. R. (1972). Regression models and life tables (with discussion). J. Roy. Statist. Soc. Ser. B 34 287–220.
  • Cox, D. R. (1975). Partial likelihood. Biometrika 62 269–276.
  • Ghosh, M., Grizzle, J. E. and Sen, P. K. (1973). Nonparametric methods in longitudinal studies. J. Amer. Statist. Assoc. 68 29–36.
  • Ghosh, M., Muknopadhyay, N. and Sen, P. K. (1997). Sequential Estimation. Wiley, New York.
  • Ghosh, M. and Sen, P. K. (1971). Sequential confidence intervals for the regression coefficient based on Kendall’s tau. Calcutta Statist. Assoc. Bull. 20 23–26.
  • Hájek, J. (1962). Asymptotically most powerful rank order tests. Ann. Math. Statist. 33 1124–1147.
  • Hájek J. (1968). Asymptotic normality of simple linear rank statistics under alternatives. Ann. Math. Statist. 39 325–346.
  • Hájek J. and Šidák, Z. (1967). Theory of Rank Tests. Academic Press, New York.
  • Hájek, J., Šidák, Z. and Sen, P. K. (1999). Theory of Rank Tests, 2nd ed. Academic Press, London.
  • Hodges, J. L. and Lehmann, E. L. (1963). Estimation of location based on rank tests. Ann. Math. Statist. 34 598–611.
  • Hoeffding, W. (1948). On a class of statistics with asymptotically normal distribution. Ann. Math. Statist. 19 293–325.
  • Hoeffding, W. (1961). The strong law of large numbers for U-statistics. Inst. Statist., Univ. North Carolina, Mimeo Rep. No. 302.
  • Jurečková, J. (1969). Asymptotic linearity of a rank statistic in regression parameter. Ann. Math. Statist. 40 1889–1900.
  • Jurečková, J. and Sen, P. K. (1996). Robust Statistical Procedures: Asymptotics and Interrelations. Wiley, New York.
  • Kaplan, E. L. and Meier, P. (1958). Nonparametric estimation from incomplete observations. J. Amer. Statist. Assoc. 53 457–481.
  • Keating, J. P., Mason, R. L. and Sen, P. K. (1993). Pitman’s Measure of Closeness: A Comparison of Statistical Estimators. SIAM, Philadelphia.
  • Koul, H. L. (1969). Asymptotic behavior of Wilcoxon type confidence regions in multiple regression. Ann. Math. Statist. 40 1950–1979.
  • Krishnaiah, P. R. and Sen, P. K., eds. (1984). Handbook of Statistics 4: Nonparametric Methods. North-Holland, Amsterdam.
  • Lehmann, E. L. (1959). Testing Statistical Hypotheses. Wiley, New York.
  • Lehmann, E. L. (1974). Nonparametrics: Statistical Methods Based on Ranks. Holden-Day, San Francisco.
  • Moses, L. E. (1953). Nonparametric methods. In Statistical Inference (H. M. Walker and J. Lev, eds.) 426–450. Henry Holt, New York.
  • Moses, L. E. (1965). Confidence limits from rank tests. Technometrics 7 257–270.
  • Mosteller, F. (1948). A k-sample slippage test for an extreme population. Ann. Math. Statist. 19 58–65.
  • Nandi, H. K. and Sen, P. K. (1963). On the properties of U-statistics when the observations are not independent. II. Unbiased estimation of the parameters of a finite population. Calcutta Statist. Assoc. Bull. 12 125–143.
  • Puri, M. L. and Sen, P. K. (1971). Nonparametric Methods in Multivariate Analysis. Wiley, New York.
  • Puri, M. L. and Sen, P. K. (1985). Nonparametric Methods in General Linear Models. Wiley, New York.
  • Pyke, R. and Shorack, G. R. (1968a). Weak convergence of a two-sample empirical process and a new approach to Chernoff–Savage theorems. Ann. Math. Statist. 39 755–771.
  • Pyke, R. and Shorack, G. R. (1968b). Weak convergence and a Chernoff–Savage theorem for random sample sizes. Ann. Math. Statist. 39 1675–1685.
  • Sen, P. K. (1959). On the moments of sample quantiles. Calcutta Statist. Assoc. Bull. 9 1–20.
  • Sen, P. K. (1960). On some convergence properties of U-statistics. Calcutta Statist. Assoc. Bull. 10 1–18.
  • Sen, P. K. (1963a). On estimation of relative potency in dilution (-direct) assays by distribution-free methods. Biometrics 19 532–552.
  • Sen, P. K. (1963b). On the properties of U-statistics when the observations are not independent. I. Estimation of nonserial parameters of a stationary process. Calcutta Statist. Assoc. Bull. 12 69–92.
  • Sen, P. K. (1966). On a distribution-free method of estimating asymptotic efficiency of a class of nonparametric tests. Ann. Math. Statist. 37 1759–1770.
  • Sen, P. K. (1968). Estimates of the regression coefficient based on Kendall’s tau. J. Amer. Statist. Assoc. 63 1379–1389.
  • Sen, P. K. (1981a). The Cox regression model, invariance principles for some induced quantile processes and some repeated significance tests. Ann. Statist. 9 109–121.
  • Sen, P. K. (1981b). Sequential Nonparametrics: Invariance Principles and Statistical Inference. Wiley, New York.
  • Sen, P. K. (1986). On the asymptotic distributional risk of shrinkage and preliminary test versions of maximum likelihood estimators. Sankhyā Ser. A 48 354–371.
  • Sen, P. K. and Rao, C. R., eds. (2000). Handbook of Statistics 18: Bioenvironmental and Public Health Statistics. North-Holland, Amsterdam.
  • Sen, P. K. and Singer, J. M. (1993). Large Sample Methods in Statistics: An Introduction with Applications. Chapman and Hall, London.
  • Silvapulle, M. J. and Sen, P. K. (2004). Constrained Statistical Inference: Inequality, Order and Shape Restraints. Wiley, New York.