DEPARTMENT.FACULTY
- DEPARTMENT_STAFF.QUALIFICATION
Ph.D
- DEPARTMENT_STAFF.DESIGNATION
Professor
- DEPARTMENT_STAFF.THRUST_AREA
Statistical Inference,Order Statistics, Distribution Theory
- DEPARTMENT_STAFF.ADDRESS
4/1175 J-5, Hamza Colony, New Sir Syed Nagar, Aligarh-202 002, India
- DEPARTMENT_STAFF.MOBILE
9411491582
- DEPARTMENT_STAFF.EMAIL
aruke11@gmail.com
I did my M.Sc. in 1980 from Aligarh Muslim University, Aligarh, during this course I was awarded merit scholarship. Subsequently, I joined research and completed M. Phil. in 1982 and Ph. D. in 1984 under the supervision of Professor A.H. Khan. Later I joined as an economic analyst in the scheme sponsored by State Bank of India on IRDP in the department of Economics, Aligarh Muslim University, Aligarh from March 1985-Jan 1987. Then I worked as a Lecturer in the department of Statistics, Panjab University, Chandigarh from 1987-89, during my stay I also supervised a student for his M. Phil. programme. Since 1990 I am serving the department of Statistics and Operations Research, Aligarh Muslim University in different capacities as Pool Officer, Part-time lecturer, lecturer besides, teaching and research I have also been assisting the seniors in the day to day administration of the departmental affairs. My area of research is Order Statistics, Records and Generalized Order Statistics. I have got published about 52 research papers in national and international journals. Under my supervision, seven students have been awarded Ph. D. degree and five M. Phil. degree and presently three students are enrolled with me for their Ph. D. programme. I have attended 19 International/ National conferences in India and presented research papers.
- Publication of Professor R.U. Khan
1. Khan, A.H., Yaqub, M. and Khan, R.U. (1982): A note on the distribution of distance function. Soochow Journal of Mathematics, 8, 87-89. (Mathematical Review No. MR 0700089)
2. Khan, A.H. and Khan, R.U. (1983): Recurrence relation between moments of order statistics from generalized gamma distribution. Journal of Statistical Research, 17, 75-82. (Mathematical Review No. MR 0806490)
3. Khan, A.H., Khan, R.U. and Parvez, Saud (1984): Inverse moments of order statistics from Weibull distribution. Scandinavian Actuarial Journal, 91-94. (Mathematical Review No. MR 0767236)-Scopus, SSCI, SCIE
4. Khan, A.H. and Khan, R.U. (1987): Relations among moments of order statistics in samples from doubly truncated Laplace and exponential distributions. Journal of Statistical Research, 21, 35-44. (Mathematical Review No. MR 1086806)
5. Khan, A.H., Khan, R.U. and samad, A. (1987-88): Moments of order statistics from logistic distribution and a characterization theorem. Estadistica, 39-40, 27-35. (Mathematical Review No. MR 1007417)
6. Khan, R.U. and Athar, Haseeb (2000): Ratio and inverse moments of order statistics from doubly truncated Weibull distribution. Journal of Statistical Research, 34, 33-38. (Mathematical Review No. MR 1789965)-
7. Khan, A.H., Khan, R.U. and Yaqub, M. (2006): Characterization of continuous distributions through conditional expectation of function of generalized order statistics. Journal of Applied Probability & Statistics, 1, 115-131. (Mathematical Review No. MR 2302185)- Scopus
8. Anwar, Zaki, Athar, Haseeb and Khan, R.U. (2007): Expectation identities based on recurrence relations of functions of generalized order statistics. Journal of Statistical Research, 41, 93-102. (Mathematical Review No. MR 2759874)
9. Khan, R.U., Anwar, Zaki and Athar, Haseeb (2007): Recurrence relations for single and product moments of generalized order statistics from doubly truncated Weibull distribution. Aligarh Journal of Statistics, 27, 69-79. (Mathematical Review No. MR 2405864)
10. Athar, Haseeb, Islam, H.M. and Khan, R.U. (2007): On characterization of distributions. Journal of Applied Probability & Statistics, 2, 179-187. (Mathematical Review No. MR 2439953)
11. Khan, R.U., Anwar, Zaki and Athar, Haseeb (2008): Recurrence relations for single and product moments of dual generalized order statistics from exponentiated Weibull distribution. Aligarh Journal of Statistics, 28, 37-45. (Mathematical Review No. MR 2492089)
12. Athar, Haseeb, Anwar, Zaki and Khan, R.U. (2008): On recurrence relations for the expectations of function of single and joint lower generalized order statistics. Pakistan Journal of Statistics, 24, 111-122. (Mathematical Review No. MR 2450236)
13. Khan, R.U. and Zia, Benazir (2009): Recurrence relations for single and product moments of record values from Gompertz distribution and a characterization. World Applied Sciences Journal, 7, 1331-1334. Scopus
14. Haque, Z., Athar, H. and Khan, R.U. (2009): Characterization of probability distributions through expectation of function of generalized order statistics. Journal of Statistical Theory and Applications, 8, 416-426. (Mathematical Review No. MR 2681428)-ESCI
15. Athar, Haseeb, Khan, R.U. and Anwar, Zaki (2010): Exact moments of lower generalized order statistics from power function distribution. Calcutta Statistical Association Bulletin, 62, 31-46. (Mathematical Review No. MR 2790997)
16. Khan, R.U. and Kumar, Devendra (2010): On moments of lower generalized order statistics from exponentiated Pareto distribution and its characterization. Applied Mathematical Sciences (Ruse), 4, 2711 - 2722. (Mathematical Review No. MR 2729567)- Scopus
17. Khan, R.U., Zia, Benazir and Athar, Haseeb (2010): On moment generating functions of generalized order statistics from Gompertz distribution and its characterization. Journal of Statistical Theory and Applications, 9, 363-373. (Mathematical Review No. MR 2809947)- ESCI
18. Khan, R.U. and Athar, Haseeb (2010): Characterization of probability distributions through conditional expectation of record values. Journal of Applied Probability & Statistics, 5, 43-51. Scopus
19. Athar, Haseeb, Haq, Ziaul and Khan, R.U. (2010): On characterization of probability distributions through generalized order statistics. Journal of the Indian Society for Probability and Statistics, 12, 101-112.
20. Khan, R.U., Kumar, Devendra and Athar, Haseeb (2010): Moments of generalized order statistics from Erlang-truncated exponential distribution and its characterization. International Journal of Statistics and Systems, 5, 455-464.
21. Khan, R.U. and Kumar, Devendra (2011): Lower generalized order statistics from exponentiated gamma distribution and its characterization. ProbStat Forum, 4, 25-38. (Mathematical Review No. MR 2788626)
22. Kumar, Devendra and Khan, R.U. (2011): Moments of lower generalized order statistics from exponentiated log-logistic distribution and characterization. Journal of Advanced Research in Statistics and Probability, 3, 48-57.
23. Khan, R.U., Zia, Benazir and Athar, Haseeb (2011): Lower generalized order statistics of generalized inverse Weibull distribution. Journal of Applied Statistical Sciences, 19, 203-219. (Mathematical Review No. MR 3075489)- Scopus
24. Khan, R.U. and Kumar, D. (2011): Expectation identities of lower generalized order statistics from generalized exponential distribution and a characterization. Mathematical Methods of Statistics, 20, 150-157. (Mathematical Review No. MR 2882156)- ESCI
25. Khan, R.U., Kulshrestha, Anamika and Kumar, Devendra (2012): Lower generalized order statistics of generalized exponential distribution. Journal of Statistics Applications & Probability, 1, 101-113. Scopus
26. Kulshrestha, Anamika, Khan, R.U. and Kumar, Devendra (2012): On moment generating function of generalized order statistics from Erlang-Truncated exponential distribution. Open Journal of Statistics, 2, 557-564.
27. Khan, R.U., Kulshrestha, Anamika and Kumar, D. (2012): Exact moments of lower generalized order statistics from exponentiated Weibull distribution and its characterization. International Journal of Statistika and Mathematika, 4, 81-89.
28. Athar, Haseeb, Khan, R.U. and Islam, H.M. (2013): Recurrence relations for the expectation of function of generalized order statistics for truncated distributions. In: Khan, A.H. and Khan, R.U., Edited Book: Advances in Statistics and Optimization, R.J. Enterprises, New Delhi, India, 63-72.
29. 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.
30. Khan, R.U. and Zia, Benazir (2013): Recurrence relations for the moments of generalized inverse Weibull distribution based on lower record statistics and a characterization. GSTF Journal of Mathematics, Statistics and Operations Research, 2, 68-71.
31. Khan, R.U. and Kumar, Devendra (2014): Relations for moment generating functions of lower generalized order statistics from doubly truncated distributions and characterizations. Journal of Statistics Applications & Probability Letters, 1, 1-8.
32. Khan, R.U. and Zia, Benazir (2014): Generalized order statistics from doubly truncated linear exponential distribution and a characterization. Journal of Applied Probability & Statistics, 9, 53-65. Scopus
33. Khan, R.U., Zia, B. and Kumar, D. (2014): Relations for single and joint moment generating functions of lower generalized order statistics from generalized exponential distribution. ProbStat Forum, 7, 85-97. (Mathematical Review No. MR 3325466)
34. Kumar, Devendra and Khan, R.U. (2014): Moments of power function distribution based on ordered random variables and characterization. Sri Lankan Journal of Applied Statistics, 15, 91-105.
35. Khan, R.U., Kulshrestha, A. and Khan, M.A. (2015): Relations for moments of k-th record values from exponential-Weibull lifetime distribution and a characterization. Journal of the Egyptian Mathematical Society, 23, 558-562. (Mathematical Review No. MR 3395118)
36. Khan, R.U. and Khan, M.A. (2015): Dual generalized order statistics from family of J-shaped distribution and its characterization. Journal of King Saud University-Science, 27, 285-291. Scopus
37. Khan, R.U. and Khan, M.A. (2016): Moment properties of generalized order statistics from exponential-Weibull lifetime distribution. Journal of Advanced Statistics, 3, 146-155.
38. Khan, M.A. and Khan, R.U. (2016): K-th upper record values from modified Weibull distribution and characterization. International Journal of Computational and Theoretical Statistics, 3, 75-80.
39. Khan, M.A. and Khan, R.U. (2016): Generalized upper record values from modified Makeham distribution and related inference. Journal of Statistics Applications & Probability, 5, 495-500. Scopus
40. Khan, R.U., Khan, M.A. and Khan, M.A.R. (2017): Relations for moments of generalized record values from additive Weibull distribution and associated inference. Statistics, Optimization & Information Computing, 5, 127-136. (Mathematical Review No. MR 3661362)- Scopus
41. Khan, R.U., Khan, M.A. and Kulshrestha, A. (2017): Recurrence relations for single and product moments of k-th record values from Lindley distribution. International Journal of Statistics and Systems, 12, 509-516.
42. Khan, M.A.R., Khan, R.U. and Khan, M.A. (2017): Expectation identities of generalized record values from new Weibull-Pareto distribution and its characterization. Journal of Statistics: Advances in Theory and Applications, 18, 87-102.
43. Singh, B., Khan, R.U. and Khan, M.A.R. (2018): Generalized order statistics from Kumaraswamy-Burr III distribution and related Inference. Journal of Statistics: Advances in Theory and Applications, 19, 1-16.
44. Singh, B. and Khan, R.U. (2018): Moments of extended Erlang-Truncated exponential distribution based on
th lower record values and characterizations. International Journal of Mathematics and
Statistics Invention, 6, 65-74.45. Singh, B., Khan, R.U. and Khan, M.A.R. (2019): Moments of generalized record values from Kumaraswamy-log-logistic distribution and related inferences. Thailand Statistician, 17, 93-103. Scopus, ESCI
46. Singh, B. and Khan, R.U. (2019): Moments of progressively type-II right censored order statistics from additive Weibull distribution. ProbStat Forum, 12, 36-46.
47. Khan, M.A.R., Khan, R.U. and Singh, B. (2019): Moments of dual generalized order statistics from two parameters Kappa distribution and related inference. Journal of Applied Probability & Statistics, 14, 85-101. Scopus
48. Singh, B., Khan, R.U. and Khan, M.A. (2019): Exact moments and characterizations of the Weibull-Rayleigh distribution based on generalized upper record statistics. Applied Mathematics E-Notes, 19, 675-688. Scopus, ESCI (Mathematical Review No. MR 4031993)
49. Singh, B., Khan, R.U. and Khan, M.A. (2019): Characterizations of the
Weibull distribution based on generalized order statistics. Journal of Statistics & Management
Systems, 22, 1573-1595. Scopus, ESCI50. Khan, M.A.R., Khan, R.U. and Singh, B. (2019): Relations for Moments of Dual Generalized Order Statistics from Exponentiated Rayleigh Distribution and Associated Inference. Journal of Statistical Theory and Applications, 18, 402-415. ESCI
51. Singh, B., Khan, R.U. and Zarrin, S. (2020): Moments of Generalized Upper Record Values from Weibull-Power Function Distribution and Characterization. Journal of Statistics Applications & Probability, 9, 309-318. Scopus
52. Alam, M., Khan, M.A. and Khan, R.U. (2020): Characterization of NH Distribution through Generalized Record Values. Applied Mathematics E-Notes, 20, 406-414. Scopus, ESCI