Marepalli, Rao Marepalli Rao
 
558-3602
106 Kettering
 
Pub Med Articles  

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Education

B.S. Statistics Major. Madras Univ. 1962. I class and I rank in the Univ.
M.S. Statistics Major. Madras Univ. 1964. I class and I rank in the Univ.
Ph.D. Statistics. Indian Statistical Institute. 1973.
 

Awards

1. Awarded the Maharajkumar of Vizianagaram Prize as the best student of the year in 1962.
2. Awarded National Merit Scholarship in 1962-64.
3. Awarded the AL Mudaliar Prize for securing the I rank in the M.S. examinations.
4. Recipient of the Chapter Service Recognition Award from the Council of Chapters, American Statistical Association, in August, 1999 at the Joint Statistical Meetings, Baltimore.
5. Recipient of The Mathematical Association of America North Central Section’s Award for Distinguished College or University Teaching of Mathematics in Recognition of Extraordinary Successful Teaching, April, 2000. The award was made at the Spring Meeting held at Duluth. The North Central Section comprises North Dakota, South Dakota, Minnesota, Manitoba, Saskatchewan, and Western Ontario. One award is given every year. Award giving by the North Central Section started in 1993.
6. President-Elect – 2001-02, The Mathematical Association of America North Central Section. In the Spring meeting held at Gustavus Adolphus College, M.B. Rao has been elected as President-Elect for the academic year 2001-02. The North Central Section comprises North Dakota, South Dakota, Minnesota, Manitoba, Saskatchewan, and Western Ontario.
7. Recipient of the Distinguished Teaching Award, 2001, College of Science and Mathematics, North Dakota State University.
8. President – 2002-03, The Mathematical Association of America North Central Section. The North Central Section comprises North Dakota, South Dakota, Minnesota, Manitoba, Saskatchewan, and Western Ontario.
9. Fellow – The American Statistical Association. Elected as a fellow in 2002. The award is presented at the Annual Joint Statistical Meetings held at Manhattan, New York, August 13, 2002. Citation reads: For fundamental contributions to probability theory, time series analysis, survival analysis, experimental design, and multivariate dependence, for leadership in statistical education, and for contributions to the development of the Red River Valley Chapter.
10. Fellow – The Institute of Mathematical Statistics. Elected as a fellow in 2002. The award is presented at the Annual IMS meeting held at Banff, Canada on July 29, 2002. Citation reads: For contributions to probability theory in abstract spaces; research on bilinear time series models, survival analysis and multivariate dependence; and creative and effective teaching at all levels.
11. Past-President - 2003-04, The Mathematical Association of America North Central Section. The North Central Section comprises North Dakota, South Dakota, Minnesota, Manitoba, Saskatchewan, and Western Ontario.
 

Professional Experience

1972-83: Lecturer, Department of Probability and Statistics, University of Sheffield, Sheffield, U.K.
1983-84: Visiting Professor, Center for Multivariate Analysis, University of Pittsburgh, Pittsburgh, PA, U.S.A.
1984-86: Lecturer, Department of Probability and Statistics, University of
Sheffield, Sheffield, U.K.
1986-87: Visiting Professor, Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA, U.S.A.
1987-91: Associate Professor, Department of Statistics, North Dakota State University, Fargo, ND, U.S.A.
1991-03: Professor, Department of Statistics, North Dakota State University,
Fargo, ND, U.S.A.
1992-: Adjunct Professor, Department of Mathematics, North Dakota State
University, Fargo, ND, U.S.A.
2003-: Emeritus Professor, North Dakota State University, Fargo, ND, U.S.A.
2003-: Professor, Center for Genome Information, Division of Epidemiology and Biostatistics, Department of Environmental Health, College of Medicine, University of Cincinnati, Cincinnati, U.S.A.
Professor, Department of Biomedical Engineering, University of Cincinnati, Cincinnati, U.S.A.
2008-: Editor of 'Sankhya' International Journal of Statistics.

Selected Publications

Most recent publications (2008-2009):

Nirmalanandhan VS, Rao MB, Shearn JT, Juncosa-Melvin N, Gooch C, and Butler DL. Effect of Scaffold Material, Construct Length, Mechanical Stimulation on the in Vitro Stiffness of the Engineered Construct. Journal of Biomechanics 2008:41 822-28.

Nirmalanandhan VS, Shearn JT, Juncosa-Melvin N, Rao MB, Gooch C, Bradica G, and Butler DL. Improving Linear Stiffness of the Cell-Seeded Collagen Sponge Constructs by Varying the Components of Mechanical Stimulus. Accepted for Publication in Tissue Engineering.

Rao CR, Rao MB, Shanbhag DN, and Sapatinas T. Some Properties of Extreme Stable Laws and Related Infinitely Divisible Distributions. Journal of Statistical Planning and Inference 139, 2009, 802-813.

Guo W and Rao MB. On the Control of False Discovery Rate under no Assumption of Dependency. Journal of Statistical Planning and Inference 138, 2008, 3176-3188.

Guo W and Rao MB. On the Optimality of the Benjamini-Hochberg Procedure for the False Discovery Rate. Statistics and Probability Letters 78, 2008, 2024-2030.

Guo W and Rao MB. On Generalized Closure Principle for Generalized Familywise Error Rates. (under review).

Liu X, Chakraborty R, Kalra M, Seiver R, and Rao MB. Sample Size Calculations in Case-Control Unmatched Studies when Controls Contain Cases. (under review).

Jauhar PP, Rahman H, and Rao MB. Homoeologous Group-5 Chromosome Effects on the Ability of Durum and Bread Wheats to Produce Haploids. Journal of Crop Improvement 2008:21 1-11.

Zhang H and Rao MB. On Nelson-Aalen Type Estimation in the Partial Koziol-Green Model. Accepted for Publication in Statistics.

Alam, M and Rao MB. On Sample Size Calculations in Logistic Regression. Submitted to Sankhya. (under review).

Rao K, Rao KPSB, and Rao MB. Mathematics Behind a Certain Card Trick. Mathematics Spectrum 2008.

Rao MB, Alam M, Bradstreet T, and Kasala S. Sample Size Calculations in Simple Linear Regression: A New Approach. Proceedings of the American Statistical Association Biometrics Section. 2008: 326-331.

Shire N, Succop P, Buncher CR, Andersen JA, Butt AA, Rao MB, Chung RT, and Sherman KE. Improving Non-invasive Methods of Assessing Liver Fibrosis Using an Ordinal Regression Index. Accepted for Publication in Clinical Gastroenterology and Hepatology.

Stella CL, Bennett MR, Devarajan P, Greis KD, Wyder M, Macha S, Rao MB, Jodicke C, Moussa H, How HY, Myatt L, Webster RP, and Sibai BM. Preterm Labor Biomarker Discovery in Serum Using 3 Proteomic Profiling Methodologies. A review is submitted to American Journal of Obstetrics and Gynecology.


1.A Remark on Nonatomic Measures,” Ann. Math. Stat., 43, 1972, 369-370 (with K.P.S.B. Rao).

2.Borel-algebra on ,” Manuscripta Mathematica, 5, 1971, 195-198 (with K.P.S.B. Rao).

3.A Note on Countable Chain Condition and -finiteness of Measures,” Bull. Austral. Math. Soc., 6, 1972, 349-353 (with K.P.S.B. Rao).

4.Countable Additivity of a Set Function Induced by Two Vector Valued Measures”, Indiana Univ. Math. J., 21, 1972, 847-848.

5.Mixtures of Nonatomic Measures,” Proc. Amer. Math. Soc., 33, 1972, 507-510 (with K.P.S.B. Rao).

6.On a Generalization of Birkhoff’s Theorem on Matrices I,” Matrix Tensor Quarterly, 23, 1972, 106-109 (with K.P.S.B. Rao and S.B. Rao).

7.On a Generalization of Birkhoff’s Theorem on Matrices II,” Matrix Tensor Quarterly, 23, 1972, 118-120 (with K.P.S.B. Rao and S.B. Rao).

8.Cardinalities of Banach Spaces,” J. Indian Math. Soc., 37, 1973, 347-349 (with K.P.S.B. Rao).

9.Charges on Boolean Algebras and Almost Discrete Spaces,” Mathematika, 20, 1973, 214-223 (with K.P.S.B. Rao).

10.A Category Analogue of Hewitt-Savage Zero-One Law,” Proc. Amer. Math. Soc., 44, 1974, 497-499 (with K.P.S.B. Rao).

11.A Note on the Difference of Two Second Category Baire Sets in a Topological Vector Space,” Proc. Amer. Math. Soc., 47, 1975, 257-258 (with K.P.S.B. Rao).

12.A Note on Order Topologies,” Nanta Mathematika, 8, 1975, 63-65 (with K.P.S.B. Rao).

13.Some Characterizations of Nonatomic Measures,” Indian J. Math., 17, 1975, 1-7 (with K.P.S.B. Rao).

14.On a Characterization of Distribution Functions Based on Conditional Expectations,” Sankhya, Series A, 37, 1975, 297-300 (with D.N. Shanbhag).

15.Topological Properties of Charge Algebras,” Rev. Roumaine Math. Pures et Appl., 22, 1977, 363-375 (with K.P.S.B. Rao).

16.On Leader’s Vp-spaces of Finitely Additive Measures,” Crelle’s Journal, 293/294, 197, 204- 216 (with A. Halevy).

17.Remarks on Subsequences, Subseries and Rearrangements,” Proc. Amer. Math. Soc., 67, 1977, 293-296 (with B.V. Rao and K.P.S.B. Rao).

18.Existence of Nonatomic Charges,” J. Austral. Math. Soc., 25, Series A, 1978, 1-6 (with K.P.S.B. Rao).

19.Some Remarks on the Strong Law of Large Numbers for Banach Space Valued Weakly Integrable Random Variables,” J. Multivariate Anal., 8, 1978, 579-583 (with A. Bozorgnia).

20.On Weak Orthogonality and a Strong Law of Large Numbers,” Bull. Acad. Polon. Sci., 26, 1978, 1017-1021 (with A. Bozorgnia).

21.Mixtures on Invariant Non-ergodic Probabilities,” Port. Math., 37, 1978, 183-188.

22.A Strong Law of Large Numbers for Subsequences of Random Elements in Separable Banach Spaces,” Ann. Prob., 7, 1979, 156-158 (with A. Bozorgnia).

23.On Summability Methods and Limit Theorems for Banach Space Valued Random Variables,” Bull. Inst. Math., 7, 1979, 1-6 (with A. Bozorgnia).

24.On the Lattice of Subalgebras of a Boolean Algebra,” Czechoslovak Math. J., 29, 1979, 530-545 (with K.P.S.B. Rao).

25.Limit Theorems for Weighted Sums of Random Elements in Separable Banach Spaces,” J. Multivariate Anal., 9, 1979, 428-433 (with A. Bozorgnia).

26.On an Analogue of Komlos’ Theorem for Strategies,” Ann. Prob., 7, 1979, 1073-107 (with A. Halevy).

27.Some Comments on Fuzzy Variables,” Fuzzy Sets and Systems, 6, 1981, 285-292 (with A. Rashed).

28.On the Separating Number of a Finite Family of Charges,” Math. Nachr., 101, 1981, 215-217 (with K.P.S.B. Rao).

29.On an Extension of Some Results of Chow and Lai on Limit Theorems for Weighted Sums of Independent Random Variables to Separable Banach Spaces,” Bull. Inst. Math., 9, 1981, 359-365 (with A. Bozorgnia).

30.On Weak Consistency in Linear Models,” J. Multivariate Anal., 12, 1982, 186-198 (with D. Kaffes).

31.Some Remarks on the Construction of Independent Identically Distributed Random Variables, Markov Chains and Martingales,” Metrika, 30, 1983, 159-163 (with D.N. Shanbhag).

32.On the Existence of Bilinear Time Series Models,” J. Time Series Anal., 4, 1983, 95-110 (with T. Subba Rao and A.M. Walker).

33.Convergence in the pth Mean and Some Weak Laws of Large Numbers for Sequences of Weighted Sums Banach Space Valued Random Variables,” J. Multivariate Anal., 15, 1984, 124-134 (with X.C. Wang).

34.A Note on Convergence of Weighted Sums of Random Variables,” Intern. J. Math. & Math. Sci., 8, 1985, 805-812 (with X.C. Wang).

35.On the Ergodicity of Bilinear Time Series Models,” J. Time Series Anal., 7, 1986, 157-164 (with S. Akamanam and K. Subramanyam).

36.A Note on Some Characterizations of Various Types of Convergence,” Bull. Inst. Math., 14, 1986, 289-298 (with A. Bozorgnia).

37.Measurability and Convergence Theorems for Random Elements in Banach Spaces in Terms of Total Subsets of Linear Functionals,” Bull. Inst. Math., 14, 1986, 383-416 (with A. Bozorgnia).

38.Some Results on the Convergence of Weighted Sums of Random Elements in Separable Banach Spaces,” Studia Math., 86, 1987, 131-153 (with X.C. Wang).

39.A Structure Theorem on Bivariate Positive Quadrant Dependent Distributions and Tests for Independence in Two-Way Contingency Tables,” J. Multivariate Anal., 23, 1987, 93-118 (with P.R. Krishnaiah and K. Subramanyam).

40.Some Weak and Strong Law of Large Numbers for D[0,1]-valued Random Variables,” Stochastic Anal. Appl., 5, 1987, 443-465 (with X.C. Wang).

41.Analysis of Odds ratio in Contingency Tables,” J. Multivariate Anal., 27, 1988, 478-493 (with K. Subramanyam).

42.On the Matrix Convexity of Moore-Penrose Inverse and Some Applications,” J. Linear and Multilinear Algebra, 24, 1989, 265-271 (with D. Kaffes, T. Mathew and K. Subramanyam).

43.Some Comments on a Result of Hans on Strong Convergence of Sequences of Random Elements in Separable Banach Spaces,” Math. Slov., 39, 1989, 191-197 (with A. Bozorgnia).

44.On the Structure of Distributions Which are Totally Positive of Order Two,” Topics in Statistical Dependence, Lecture Notes-Monograph Series, Vol. 16, Institute of Mathematical Statistics, 1990, 451-458 (with K. Subramanyam).

45.A Note on Convergence in Banach Spaces of Cotype p,” Statistics and Probability Letters, 10, 1990, 391-396 (with X.C. Wang).

46.Estimation of Parent-Offspring Correlation,” Biometrika, 77, 1990, 557-562 (with R.P. Velu).

47.The Structure of Some Classes of Bivariate Distributions and Some Applications,” Computational Statistics and Data Analysis”, 10, 1990, 175-187 (with K. Subramanyam).

48.Measures with Prescribed Marginals, Extreme Points and Measure Preserving Transformations,” Real Analysis Exchange, 16, 1991, 487-489 (with K. Subramanyam).

49.On the Strong Law of Large Numbers and the Law of the Iterated Logarithm for Weighted Sums of Independent Random Variables with Multidimensional Indices,” Annals of Probability, 20, 1992, 660-674 (with D. Li and X.C. Wang).

50.Nonparametric Estimation of Specific Occurrence/Exposure Rate in Risk and Survival Analysis,” J. Amer. Statist. Assoc., 87, 1992, 84-89 (with G.J. Babu and C.R. Rao).

51.Complete Convergence of Moving Average Processes,” Statistics and Probability Letters, 14, 1992, 111-114 (with D. Li and X.C. Wang).

52.Some Results on Convergence Rates for Probabilities of Moderate Deviations for Sums of Random Variables,” International Journal of Mathematics and Mathematical Sciences, 15, 1992, 481-498 (with D. Li and X.C Wang).

53.A Three-door Game Show and Some of Its Variants,” Mathematical Scientist, 17, 1992, 89-94 (with V.V. Bapeswara Rao).

54.Almost Sure Behavior of F-valued Random Fields,” Probability Theory and Related Fields, 93, 1192, 393-405 (with D. Li and X.C. Wang).

55.Moderate Deviations for Some Weakly Dependent Random Processes,” Statistics and Probability Letters, 15, 1992, 71-76 (with J. Tiefeng and X.C. Wang).

56.On a Game-show Problem of Marilyn vos Savant and Its Extensions,” a letter in American Statistician, 46, 1992, 241-242.

57.Convergence in the r-th Mean of Weighted Sums of Random Elements in Banach Spaces of Type p,” Northeastern Mathematical Journal, 8, 1992, 349-356 (with X.C. Wang and D. Li).

58.Laws of Large Numbers and Moderate Deviations for Stochastic Processes with
Stationary and Independent Increments,” Stochastic Processes and Their Applications, 44, 1993, 205-219 (with J. Tiefeng, D. Li and X.C. Wang).

59.Convergence Rates on Strong Laws of Large Numbers for Arrays of Rowwise Independent Random Elements,” Stochastic Analysis and Applications, 11, 1993, 115-132 (with X.C. Wang and X. Yang).

60.On Feller’s Criterion on the Law of the Iterated Logarithm,” International Journal of Mathematics and Mathematical Sciences, 17, 1994, 323-340, (with D. Li and X.C. Wang).

61.Complete Convergence and Almost Sure Convergence for Weighted Sums of Random Variables,” Journal of Theoretical Probability, 8, 1995, 49-76 (with D. Li, T. Jiang and X.C. Wang).

62.Some Results on Strong Limit Theorems for (LB)-space-valued Random Variables,” Statistics and Probability Letters, 23, 1995, 247-251 (with D. Li and X.C. Wang).

63.On the Strong Law of Large Numbers and the Law of the Logarithm for Weighted Sums of Independent Random Variables with Multidimensional Indices,” J. Multivariate Analysis, 52, 1995, 181-198 (with D. Li and X.C. Wang).

64.Convergence in the r-th Mean and Some Weak Laws of Large Numbers for Random Weighted Sums of Random Elements in Banach Spaces,” Northeastern Mathematical Journal, 11, 1995, 113-126 (with X.C. Wang).

65.A Strong Law for B-valued Arrays,” Proc. Amer. Math. Soc., 123, 1995, 3205-3212 (with D. Li and R.J. Tomkins).

66.Large Deviations for Moving Average Processes,” Stochastic Processes and Their Applications, 59, 1995, 309-320 (with T. Jiang and X.C. Wang).

67.On Improving the Quality of Minimal Incomplete Block Designs,” Journal of
Applied Statistical Science, 4, 1996, 215-230 (with M. Hussain and T. Ogunyemi).

68.A Note on the Iterated Logarithm for Weighted Sums of Independent
Identically Distributed Random Variables,” in Convergence in Probability and Ergodic Theory, Editors: V. Bergelson, P. March, and J. Rosenblatt, Walter de
Gruyter, New York, 273-276 (with D Li).

69.A Generalization of the Jerusalem Ticket Problem,” The Mathematical Scientist, 22, 1997, 37-44 (withV.V. Bapeswara Rao).

70.Can One Load a Set of Dice so that the Sum is Uniformly Distributed?”
Mathematics Magazine, 70, 1997, 132-134 (with G Chen and W Shreve).

71.Result on a 2x2 Survival Experiment,” Mathematical Biosciences,146, 1997, 63-73 (with Ramin Bahreini-Arani).

72.On S- and (M,S)-optimality of Minimal Incomplete Block Designs,” Journal of
Statistical Planning and Inference, 73, 1998, 189-195 (with T. Ogunyemi).

73.A Note on E-optimal Minimal Block Designs under Mixed Effects Model,”
Journal of Applied Statistical Science, 7, 163-168, 1998 (with T. Ogunyemi).

74.Some Gambling Strategies: An Evaluation,” The Mathematical Scientist, 25,
2000, 78-86 (with Surekha Mudivarthy).

75.On Improving the Quality of Minimal S-optimal Row-Column Designs,”
Journal of Applied Statistical Science, 10, 37-46, 2000 (T Ogunyemi and C.R.Rao).

76. The Law of the Iterated Logarithm and Central Limit Theorem for L-Statistics,”
Journal of Multivariate Analysis, 78, 191-217, 2001 (with Deli Li and R.J. Tomkins).

77.On Minimal s-Optimal Row-Column Designs,” to appear in Journal of Statistical Planning and Inference, 2000, (with C.R. Rao and Theo Ogunyemi).

78.A Note on the Interclass Correlation: A Case for Unbalanced Regression,” to appear in The Annals of Institute of Statistical Mathematics (with M. Palta and R. Velu).

79.Generalized Rank Estimates for an Autoregressive Time Series: A U-Statistic Approach,” Statistical Inference for Stochastic Processes, 4, 155-179, 2001 (with J.T. Terpstra).

80.Damage Models: A Martin Boundary Connection,” Sankhya, 64, Series A, 2002, 868-883 (with C.R. Rao and D.N. Shanbhag).

81.On the Asymptotic Distribution of a Multivariate GR-estimate for a VAR(p) time series,” Statistics and Probability Letters, 60, 2002, 219-230 (with Jeffrey T Terpstra).

82.Periodic Inspection Plans: The Case of Weibull Distribution,” Metrika 58, 2003, 15-30 (with Ahmad Abu-Taleb and Haimeng Zhang).

83.On Weak Consistency in Linear Models with Equi-correlated Random Errors, Statistics, 37, 2003, 463-473 (with Xinwei Jia and Haimeng Zhang).

84.On Generalized Maximum Likelihood Estimation in the Proportional Hazards Model with Partially Informative Censoring,” Metrika 59, 2004, 125-136 (with Haimeng Zhang).

85.Occurrence/Exposure Rate,” Encyclopedia of Actuarial Science, 3: 1199-1201, 2004 (with Gutti Jogesh Babu).

86.On the Generalized Maximum Likelihood Estimator of Survival Function Under Koziol-Green Model,” accepted for publication in the Journal of Statistical Planning and Inference (with Rupa Mitra and Haimeng Zhang).

87.Interval-Censored Type II Plan,” submitted (with Surekha Mudivarthy).

88.Maximum Likelihood Estimation in Linear Models with Equi-Correlated Errors,” To appear in The Australian New Zealand Journal of Statistics (with Haimeng Zhang).

89.Sample Size Determination in Logistic Regression,” submitted (with Mohammad Alam).

90.On the Asymptotics of Generalized Maximum Likelihood Estimators under the Proportional Hazards Model with Partially Informative Censoring,” To appear in Statistics and Probability Letters (with Haimeng Zhang).

91.A Note on the Generalized Maximum Likelihood Estimator in Partial Koziol-Green Model,” To appear in Statistics and Probability Letters (with Haimeng Zhang).

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