CURRICULAM VITAE

Devendra Kumar

M.Sc, M.Phil., PhD. (Statistics) from AMU and MPS from IIPS, Mumbai

Current Position

Assistant ProfessorDepartment of Statistics, Central University Haryana

Jant-Pali, MahendergarhHaryana Pin: 123029

Academic Qualification

Exam Subjects

Year Division

University

Remark

Ph. D. Statistics

2013 - AMU Aligarh

Awarded UGC Fellowship

M. Phil.

Statistics

2008 First AMU Aligarh

Awarded UGC Fellowship and First Position in theDepartment

M. Sc. Statistics

2006 First AMU Aligarh

-

B. Sc. Statistics

2004 First AMU Aligarh

-

(Hons)

Academic Awards/Fellowships:

Fellowship Duration Name of the Institution

UGC Fellowship 2006-2008 AMU, Aligarh

UGC Fellowship 2008-2012 AMU, Aligarh

Achievements:

Member, American Mathematical Society.

Member, Editorial Advisory Board, Journal of Advances in Management Science and Information Systems, Canada.

Member, Editorial Advisory Board, Journal of Advances in Industrial Engineering and Management, USA.

Memberships of Professional Body

Indian society for probability and statistics.

Kerala Statistical Association.

Indian Bayesian Society.

Teaching and Research Experience:University/ Institution

(place of work)

Period Academic Rank

Job

From To

Department of Statistics, Amity

13 August 20 June Assistant Teaching and

Institute of Applied Sciences, Amity University, Noida, UP.

2012 2016 Professor Research

Department of Statistics, Central Univertsity, Haryana

21 June 2016

At present

Assistant Professor

Teaching and Research

AREA OF RESEARCH INTEREST

Statistical Inference

Order Statistics

Record Values

Generalized Order Statistics

Distribution Theory

Bayesian Estimation

TEACHING INTEREST

Probability and probability distributions

Statistical methods

Statistical inference

Applied statistics

Sample surveys

Operations Research

Biostatistics

Business Statistics

Statistics for Biology

Geo Statistics

Statistical Analysis

Multivariate Analysis

SURVEY PROJECT WORKS

“Statistical study of the level of occupational aspiration among the students of A.M.U” in B.Sc.

“Consciousness and attitude towards health and hygiene of A.M.U Community” in M.Sc.

TEAM MEMBER OF ORGANIZING NATIONAL / INTERNATIONAL WORKSHOPS, SYMPOSIA, AND CONFERENCES:

National Workshop on Advanced Analytical Techniques in Research & Development from 19-20 Dec. 2012 at Amity Institute of Applied Sciences, Amity University Noida, India.

[My Participation: in all financial transactions of Conference and also registered the delegates of the workshop].

International Conference on Recent Trend Material and Devices from October 30-31, 2013 at Amity Institute of Applied Science, Amity University, Noida-201303, India.

[My Participation: in all financial transactions of Conference and also transportation and accommodation the delegates of the conference].

COMPUTER LITERACY

SPSS (Statistical Package for Social Science)

MS-Word, MS-PowerPoint, MS-Excel

FORTRAN

R- Software

Internet Explorer

STRENGTH

Punctuality, Disciplined, Diligent and Commitment

COURSE DEVELOPMENT

I designed the new course “Mathematical Statistics” given to students in the Mathematics Department. The course has been taught the first time in 2012 and is well established.

I developed the course “Geo Statistics for Geo Informatics and Remote Sensering” given to students in the M.Sc. and Engineering.

I developed the course “Statistics for Biology” and “Statistical Analysis” given to students in the Institute of Food Technology.

M. Sc. Project/ Thesis Supervision

Year Name Topic

2014

Ms. Gaganpreet Kaur

Some Moments Problems in Record Statistics

Ms. Swati Ahuja Gender dimensions of employment in India.

Ms. Tanushree Infrastructure and GDP of India.

Ms. Ravina Effect of domestic violence against women

Manocha in India due to the factor women’s literacy, women’s employment and women’s exposure to media.

Mr. Chantanya Kholi

Solving India’s Energy crisis-converting waste into energy.

2015

Mr. Rajat Sarker Univariate Distributions and it Applications

Ms. Mridusmita Dutta

Career Perceptions

Ms. Shivani Gupta Statistical Inference for the Type I Generalized Half Logistic Distribution Based on Upper Record Values

Ms Kanita Grover Statistical Inference Based on Generalized Order statistics

Ms. Isha L-Moments and TL-Moments of Univariate Distributions

2016

Ms Kanita Gupta Some Aspect of Order statistics

Ms. Shailja Sethi Some Relations for Record value

Ms Divya Some Relations of Continuous Distribution based on Lower and Upper Record Values.

Ms. Shraddha Sen Maximum Likelihood Estimation of Univariate distributions.

CONFERENCE/SYMPOSIA ATTENDED AND PAPER PRESENTED:

1. VI International Symposium on Optimization and Statistics from 29-31 December 2008 at Aligarh Muslim University (AMU), Aligarh.

2. National Conference on Recent Developments in Science & Technology from 15-16 February 2009 at Shri Varshney Mahavidyalaya Aligarh Affiliated to Dr. Ambedkar University Agra.

3. National Seminar on Computational Mathematics Operations Research from 28-29 November 2009 at B.K. Birla Institute of Engineering & Technology Pilani (Rajasthan).

4. Satellite conference of International Congress of Mathematician on Mathematics in Science and Technology from 15-17 August 2010 at Delhi.

5. International Conference on Development and Applications of Statistics in emerging areas of Science and Technology from 8-10 December 2010 at Department of Statistics University of Jammu, Jammu - 180 006 (J&K) India.

6. International Conference on New Trends in Life Testing, Bayesian Inference, Sampling Theory, Bio-statistics, Bio-informatics and Computer Applications from January 5-January 8, 2011 at Department of Statistics Banaras Hindu University, Varanasi – 221005, India.

7. The Bhopal Seminar on Contemporary Issues in Mortality Health and Development in India from 19-21 January, 2011 at SHYAM’ Institute Bhopal, India.

8. National Conference on Statistics for twenty-first Century and annual conference of Kerala Statistical Association from 17-19 March 2011 at Kerala University, Thiruvananthapuram, Kerala.

9. National Conference on Statistical Inference, Sampling Techniques and Related Areas from March 28 - 29, 2011 at Department of Statistics and Operations Research Aligarh Muslim University, Aligarh - 202 002, India.

10. New development in theory and applications of Statistics an International Conference in memory of Moti Lal Tiku from May 2-4, 2011at Department of Statistics Middle East Technical University Anakra , Turkey.

11. CONIAPS-XIII, 13th International conference of International Academy of Physical Sciences from June 14-16, 2011 at University of Petroleum and Energy Studies, Dehradun.

12. National Research Scholars meet in Mathematical Sciences from October 15-18, 2011 at Department of Mathematics Indian Institute of Technology Kharagpur India.

13. The Bhopal Seminar on Contemporary Issues in Population, and Reproductive and Child Health in India from 18-20 January, 2012 at SHYAM’ Institute Bhopal, India.

14. II National Conference on Statistical Inference, Sampling Techniques and Related Areas from February 11 - 12, 2012 at Department of Statistics and Operations Research Aligarh Muslim University, Aligarh - 202 002, India.

15. National Conference on advances and applications in Statistics from February 20-21, 2012 at Department of Statistics Panjab University, Chandigarh, India.

16. National Seminar on New Dimensions in Statistics: Concepts and issues from March 02-04, 2012 at Department of Statistics Banaras Hindu University, Varanasi – 221005, India.

17. International Conference on Recent Trend Material and Devices from October 30-31, 2013 at Amity Institute of Applied Science, Amity University, Noida-201303, India.

18. National Education Meet from January 09-10, 2014 at Gandhi Nagar, Gujarat, India.

19. The Bhopal Seminar on population development in India from 21-23 January, 2015 at SHYAM Institute Bhopal, India.

20. Vth National Conference on Statistical Inference, Sampling Techniques and Related Topics from 24-25 March, 2015 at Department of Statistics and Operations Research Aligarh Muslim University, Aligarh - 202 002, India.

WORKSHOPS ATTENDED

1. A short term Course on Statistical Analysis using SPSS from 15-19 2007 January at Aligarh Muslim University (AMU), Aligarh.

2. Instructional conference on singular value Decomposition and its applications from 19-23 February 2007 at Indian Statistical Institute (ISI), Hyderabad.

3. National Symposium on applications of Statistics and operations Research in Indian Industry from 17-20 December 2007 at Indian Statistical Institute (ISI), Hyderabad.

4. Research Workshop in Optimization Theory and Applications from 3-6 September 2008 at Indian Institute of technology (IIT), Kanpur.

5. A Workshop on Bayesian Technique and its Applications from 1-7 October at Banasthali University, Banasthali Rajasthan.

6. National Seminar on Time series Modeling From 03-06 Oct. 2009 at Banasthali University, Banasthali (Rajasthan).

7. Advanced Training Program (ATP) on Bayesian Statistics Theory and applications from 21-27 December 2009 at DST Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University (Utter Pradesh).

8. Workshop on Data Analysis with R and SPSS from 01-06 February 2010 at Department of Statistics and Operations Research, Aligarh Muslim University (AMU) Aligarh.

9. International workshop on Inverse Problems and Wavelets with Applications to Real World Systems 14 August 2010 at Delhi.

10.National workshop on Modern tools in applied statistics from 4-7 December 2010 at Department of Statistics University of Jammu, Jammu - 180 006 (J&K) India.

11.National workshop on Vedic Gadhit on 30 Jan. 2011 at Shri Varshney Mahavidyalaya Aligarh Affiliated to Dr. Ambedkar University Agra.

12.National Workshop on Block Designs and their Applications from 05 Feb. 2011 to 08 Feb. 2011 at Banasthali University, Banasthali (Rajasthan).

13.National Workshop on Inventory and Transportation from 15 -18 March 2012 at Banasthali University, Banasthali (Rajasthan).

14.A Workshop on Reliability and Survival Analysis from 03-05 Dec. 2012 at Indian Institute of Technology Kanpur, India.

15. National Workshop on Advanced Analytical Techniques in Research & Development from 19-20 Dec. 2012 at Amity Institute of Applied Sciences, Amity University Noida, India.

ORGANIZATION OF CONFERENCE AND WORKSHOP

National Workshop on Advanced Analytical Techniques in Research & Development from 19-20 Dec. 2012.

International Conference on Recent Trend Material and Devices from October 30-31, 2013.

One day workshop on statistics and application with SAS software.

PUBLICATIONS

Papers Published

1. Khan, RU and Kumar, D. (2010): On moments of lower generalized order statistics from exponentiated Pareto distribution and its characterization. Applied Mathematical Sciences. 4, 2711-2722.

2. Khan, RU, Kumar, D. and Athar, H. (2010): Moments of generalized order statistics from Erlang-truncated exponential distribution and its characterization. International Journal of Statistics and Systems, 5, 455-464.

3. Kumar, D. (2010): Recurrence relations for single and product moments of generalized order statistics from order exponential distribution and its characterization. Journal of Statistical Research of Iran, 7, 101-112.

4. Khan, RU and Kumar, D. (2011): Lower generalized order statistics from exponentiated gamma distribution and its characterization. ProbStats Forum, 4, 12-24.

5. Khan, RU and Kumar, D. (2011): Expectation Identities of lower generalized order statistics from generalized exponential distribution and its characterization. Mathematical Methods of Statistics, 20, 150-157. (Springer).

6. Kumar, D. (2011): On relations for generalized Rayleigh distribution based on lower generalized order statistics and its characterization. Journal of Statistical Research 45, 49-57.

7. Kumar, D. (2011): Recurrence relations for moments of th lower record values from exponentiated log-logistic distribution and a characterization International Journal of Mathematical Archive, 6, 1-7.

8. Kumar, D. (2011): On moments of lower generalized order statistics from frechet-type extreme value distribution and its characterization. Probstats Fourm, 4, 54-61.

9. Kumar, D. (2011): Generalized order statistics from Kumaraswamy distribution and its characterization. Tamsui Oxford Journal of Mathematical Sciences, 27, 463-476.

10. Kumar, D. (2011): Single and product moments of generalized order statistics from exponentiated Frechet distribution and a characterization International Journal of Information and Management Sciences, 22, 221-231.

11. Kumar, D. (2011): Explicit expressions for moments of lower generalized order statistics from exponentiated Kumaraswamy distribution and its characterization. Journal of Applied Probability and Statistics. 6, 61-72.

12. Kumar, D. and Khan, R.U. (2011): Recurrence relations for moments of lower generalized order statistics from exponentiated log-logistic distribution and characterization. Journal of Advanced Research in Statistics and Probability. 3, 48-57.

13. Kumar, D. and Abhishek Singh (2011): Recurrence relations for single and product moments of lower record values from modified-inverse Weibull distribution. Journal of General Mathematics Notes. 3, 26-31.

14. Kumar, D. (2012): Relations for moments of lower generalized order statistics from a family of J-shaped distributions and its characterization. Journal of Applied Probability and Statistics. 7, 71-86.

15. Kumar, D. (2012): Recurrence relations for marginal and joint moment generating functions of generalized logistic distribution

based on lower record values and its characterization. ProbStats Fouram, 5, 47-53.

16. Khan, R.U., Kulshrestha, A. and Kumar, D. (2012): Lower generalized order statistics from exponential distribution. Journal of Statistics Applications and Probability, 2, 101-113.

17. Kumar, D. and Khan M.I. (2012): Recurrence relations for moments of th record values from generalized beta distribution and a characterization. Selçuk Journal of Applied Mathematics. 13, 75-82.

18. Kumar, D. and Khan, M.I. (2013): Relations for generalized order statistics from doubly truncated generalized exponential distribution and its characterization. Mathematical Science Letters. 2, 9-18. doi.org/10.12785/msl.

19. Kumar, D., Kulshrestha A. and Khan, R.U. (2013): On moment generating functions of generalized order statistics from Erlang-truncated exponential distribution. Open Journal of Statistics, 2, 557-564. doi.org/10.4236/ojs.

20. Khan, RU, Kumar, D. and Kulshrestha A. (2013): Exact moments of lower generalized order statistics from exponentiated Weibull distribution and its characterization International Journal of Statistika and Mathematika 4, 81-89.

21. Khan, R.U., Kumar, D. and Zia B. (2013): Exact moments of lower generalized order statistics from exponentiated Pareto distribution. Journal of Statistics: Advances in Theory and Applications, 9, 1-17.

22. Kumar, D. and Kulshrestha A. (2013): Expectation identities of upper record values from generalized Pareto distribution and a

characterization. Journal of Statistics Application in Probability, 2, 115-121. doi.org/10.12785/jsap.

23. Kumar, D. (2013): On relations for quotient moments of the generalized Pareto distribution based on record values and characterization. Journal of Applied Mathematics and Informatics. 4, 327-336.

24. Kumar, D. (2013): Relations for marginal and joint moment generating functions of Marshall-Olkin extended logistic distribution based on lower generalized order statistics and characterization. American Journal of Mathematical and Management Sciences, 32, 19-39. DOI: 10.1080/01966324.2013.859109.

25. Kumar, D. (2013): Moment generating functions of lower generalized order statistics from generalized logistic distribution and its characterization. Pacific Journal of Applied Mathematics, 5, 29-44.

26. Kumar, D. (2013): Moments of lower generalized order statistics from doubly truncated continuous distributions and a characterization. Chungcheong Mathematical Society. 26, 441-451.

27. Kumar, D. (2013): Relations for marginal and Joint moments generating functions of extended type I generalized logistic distribution based on lower generalized order statistics and characterization Tamsui Oxford journal of Mathematical Science, 29, 219-238.

28. Kumar, D. and Goyal, A. (2013): Explicit expressions of lower generalized order statistics from exponentiated log-logistic distribution and characterization. Pacific Journal of Applied Mathematics. 5, 1-22.

29. Kumar, D. (2013): On moments of lower generalized order statistics from exponentiated lomax distribution and characterization. American Journal of Mathematical and Management Sciences, 32, 238-256. DOI: 10.1080/01966324.2013.859109.

30. Kumar, D. and Goyal, A. (2013): Expectation identities from extended Burr type XII distribution based on generalized order statistics and its characterization. South Pacific Journal of Pure and Applied Mathematics, 2, 30-46.

31. Kumar, D. (2013): Recurrence relations for quotient moment of generalized Pareto distribution based on generalized order statistics and characterization. Journal of Statistical Research of Iran. 10, 1-17.

32. Khan, RU and Kumar, D. (2014): Relations for moment generating functions of lower generalized order statistics from doubly truncated continuous distributions and its characterization. Journal of Statistics Applications & Probability Letters, 1, 1-8.

33. Kumar, D. (2014): Quotient moments of the Erlang-Truncated exponential distribution based on record value and a characterization. Journal of Applied Mathematics and Informatics, 32, 176-186.

34. Kumar, D. (2014): Relations of generalized order statistics from Erlang-Truncated exponential distribution. Pacific Journal of Applied Statistics, 6, 55-77.

35. Kumar, D. (2014): On moment generating function of generalized order statistics from extended type II generalized Logistic distribution. Journal of Statistical Theory and Application, 13, 135-150. (1538-7887)

36. Kumar, D. and Saran, J. (2014): Ratio and inverse moments of record values from Marshall-Olkin log-logistic distribution, Pacific Journal of Applied Mathematics. 6, 11-21.

37. Kumar, D. (2014): Explicit expressions for moments of th lower record values from J-shaped distribution and characterization. Mathematical Sciences Letters 3, 1-5 doi.org/10.12785/msl

38. Saran, J., Kumar, D., Narender, P. and Tiwari, R. (2014): L-Moments and TL-Moments of order statistics from exponentiated inverted weibull distribution and characterization. Statistical Research Letters. 3, 63-71. (2325-7040)

39. Kumar, D. (2014): Recurrence relations for quotient moment of generalized Pareto distribution based on generalized order statistics and characterization. Chungcheong Mathematical Society 27, 347-361.

40. Kumar, D. and Khan R.U. (2014): Moments of power function distribution based on generalized order statistics and characterization. Sri Lankan Journal of Applied Statistics 15, 91-106.

41. Kumar, D. (2014): Moment generating function of order statistics from exponentiated gamma distribution. Pacific Journal of Applied Mathematics, 6, 189-200.

42. Kumar, D. (2014): Moment generating function of exponential-truncated negative binomial distribution based on ordered random variables, Journal of Statistics Application in Probability, 3, 413-423.

43. Kumar, D. (2014): Moment Generating Functions of Generalized Order Statistics From Extended Type II Generalized Logistic Distribution. Journal of Statistical Theory and Applications, 13, 273-288.

44. Khan, R.U., Zia, B. and Kumar, D. (2014): Relations for marginal and joint moment generating functions of generalized exponential distribution based on lower generalized order statistics and characterization. ProbStat Forum 7, 85-97.

45. Kumar, D. (2014): On relations for moment generating function from extended type II generalized logistic distribution based on record value and characterization. Jordan Journal of Mathematics & Statistics, 7, 257 - 271.

46. Kumar, D. (2015): Exponentiated Gamma Distribution Based On Ordered Random Variables. Applied Mathematics and E-Notes, 15, 105-120.

47. Kumar, D. (2015): On quotient moments of lower generalized and characterization. Journal of Applied Mathematics, Statistics and Informatics, 11, 73-89

48. Kumar, D. (2015): Exact moments of generalized order statistics from type II exponentiated log-logistic distribution. Hacettepe Journal of Mathematics and Statistics, 44, 715 – 733. (ISSN 1303-5010).

49. Kumar, D. (2015): Explicit Expressions and Statistical Inference of Generalized Rayleigh Distribution Based on Lower Record Values, Mathematical Methods of Statistics, 24, 225–241.

50. Kumar, D. Jain, N. and Gupta, S. (2015): The Type I Generalized Half Logistic Distribution Based on Upper Record Values, Journal of Probability and Statistics, 2015, 01-11.

51. Kumar, D. (2015): The extended generalized half logistic distribution based on ordered random variables, Tamkang Journal of Mathematics, 46, 245-256.

52. Kumar, D. (2015): Recurrence relations for moments and moment generating functions from the extended type I generalized logistic distribution based on -th lower Record Values, Jordan Journal of Mathematics & Statistics, 8, 209- 222.

53. Kumar, D. and Farooqi, M. S. (2015): On generalized order statistics from Marshall-Olkin log-logistic distribution, Global Journal of Pure and Applied Mathematics, 11, 3513-3528.

54. Kumar, D. (2015): Lower Generalized Order Statistics Based On Inverse Burr Distribution, American Journal of Mathematical and Management Sciences, 35, 15-35.

55. Kumar, D. (2015): Relations for moments of lower generalized order statistics from exponentiated inverted Weibull distribution Tamsui Oxford journal of Mathematical Science. (To appear).

56. Kumar, D., Dey, S. and Ahmad, M. (2015): Upper record values from extended exponential distribution, Pakistan Journal of Statistics, (To appear).

57. Kumar, D. (2015): The Complementary Exponential-Geometric Distribution Based on Generalized Order Statistics, Applied Mathematics E-Notes. (To appear).

58. Kumar, D. (2014): The exponentiated exponential-geometric distribution based on generalized order statistics, Journal of Applied probability and Statistics, (To appear).

59. Kumar, D. (2013): th lower record values from of Dagum distribution, Discussiones Mathematicae Probability and Statistics, (To appear).

60. Kumar, D. (2014): Ratio and inverse moments of generalized order statistics of Marshall-Olkin extended Bur type XII Distribution, Journal of Data Science, (To appear).

61. Kumar, D., Dey, S. and Nadarajah, S. (2015): Extended exponential distribution based on order statistics, Communication in Statistics Simulation and Comuputation (To appear).

62. Dey, S., Kumar, D. and Park, C. (2015): Transmuted Gamma-Mixed Rayleigh Distribution: properties and estimation with bladder cancer data example, Model Assisted Statistics and Applications, (To appear).

CONFERENCE PROCEEDING 1. Kumar, D. and Shekhar, C. (2008): Does the child loss at initial

phase of Reproduction affect fertility Behavior among women in Uttar Pradesh? Proceeding VI International Symposium on Optimization and Statistics at Aligarh Muslim University, Aligarh. 280-289.

REFEREED BOOKS

1.

Moments of Order Statistics and its Application, LAP LAMBERT Academic Publishing GmbH & Company, Germany. (Co-author with R. U. Khan), 2012.

2.

Kumar, D., Introduction to Record Statistics and Applications, LAP LAMBERT Academic Publishing GmbH & Company, Germany, 2014.

BOOK CHAPTERS1. Kumar, D. (2012): Recurrence relations for lower generalized order

statistics from doubly truncated distributions and its characterization, Emerging Applications of Bayesian statistics and stochastic modeling, 104-111.

2. Kumar, D. and Pundhir P.S. (2012): Some results for the moments of generalized order statistics from hyper linear exponential distribution and its characterization, Emerging Applications of Bayesian statistics and stochastic modeling, 112-120.

COUNTRY VISITED

Turkey

Details of other Academic / Administrative Assignments

1. Worked as a Referee of various national and international journals such as

i) Selçuk Journal of Applied Mathematics.

ii) Journal of Reliability and Statistical Studies.

iii) British Journal of Management Sciences.

iv) Egyptian Statistical Journal (Elsevier).

v) Journal of Statistical Computation and Simulations (Taylor and Frances).

vi) Far East Journal of Mathematical Sciences.

vii) Journal of Applied Mathematics and Computing (Elsevier).

viii) American Journal of Mathematical and Management Sciences (Taylor and Frances).

ix) Hacettepe Journal of Mathematics and Statistics (SCI).

x) International Journal of Computational and Theoretical Statistics.

xi) Journal of King Saud University (Elsevier).

xii) Journal of Agricultural and Statistical Sciences.

xiii) Journal of Statistics Application in Probability.

xiv) Mathematics and Computers in Simulation (Elsevier).

xv) International Journal of Statistics and Mathematics

xvi) Communications in Statistics – Theory and Methods (Taylor and Frances).

xvii) Open Journal of Statistics

xviii) American Mathematical Society

xix) Bulletin of the Malaysian Mathematical Sciences Society (Elsevier).

xx) Mathematical methods of Statistics (Springer).

xxi) Matron (Springer).

2. Member of Board of Studies in Amity University, Noida since last three years.

3. Member of student research committee in Amity University, Noida since last three years

4. Member of Area Advisory Board University, Noida since last four years.

PERSONAL INFORMATION

Name Dr. Devendra KumarFather’s Name Mr. Ram Pal SinghMother’s Name Late (Mrs) Bhu DeviMarital Status MarriedNationality IndianLanguages Known

English, Hindi

Contact No. +91 9457189442Permanent Address

Sootmill Rasoolpur Road, Elampur Begheechi Banna Devi, Aligarh-202001, India

REFERENCES

1. Prof. Jagdish SaranDean Faculty of Mathematical Sciences and HeadDepartment of StatisticsUniversity of Delhi, India.

E-mail: jagdish_saran52@yahoo.co.in

2. Prof. R. U. KhanDepartment of Statistics & Operations ResearchAligarh Muslim University, Aligarh - 202002, India.

E-mail: aruke@rediffmail.com

3. Prof. Zakaullah Khan

Senior Scientist, National Bureau of Plant Genetic Resources,

Old Campus, New Delhi-110 012, India.

E-mail: znema@yahoo.com

4. Prof. Sanku DeyDepartment of StatisticsSt. Anthony's CollegeShillong, Meghalaya-793001, India

Email: sanku_dey2k2003@yahoo.co.in

Date: (DEVENDRA KUMAR)