Academic Qualifications: M.Sc., Ph.D. |
M.Sc. |
University of Mysore, Mysore | 1976 |
Ph.D. |
University of Mysore, Mysore (Topic :SOME RESULTS ON RECORD VALUE THEORY AND ORDER STATISTICS | 1988 |
Areas of Specialization |
Probability Theory, Extreme values, Record values, Statistical Inference, Sampling theory. |
Teaching and Research Experience |
1. |
Lecturer (Sri Mahaveera College, Moodabidri, D.K.) |
03.07.1976 to 16.08.1977 |
2. | Lecturer (P.G. Dept. of Statistics, Manasagangotri, Mysore) |
18.08.1977 to 26.09.1988 |
3. | Reader (P.G. Dept. of Statistics, Gulbarga University, Gulbarga) |
27.09.1988 to 14.09.1995 |
4. | Professor (P.G. Dept. of Statistics, Gulbarga University, Gulbarga) |
15.09.1995 till date |
Research Guidance |
● Doctor of Philosophy |
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Sl.No. |
Name of the student |
Title of the Thesis |
Year |
1. | Dr. K.S. Wali | Some Studies on Record Values and Extreme Values | 1993 |
2. | Dr. Sujatha S. Inginshetty | Contributions to Extreme Values and Record Values. | 1995 |
3. | Dr. Madhusudhan Zalki | Some Properties of Record Values and Order Statistics | 2002 |
4. | Dr.Kunichi M . C | Generalized Order Statistics | 2010 |
● Master of Philosophy |
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Sl.No. |
Name of the student |
Title of the Thesis |
Year |
1. | Chandrashekhar Math | Record Values | 1990 |
2. | M. C. Kunichi | Some characterizations based on Record values | 1994 |
3. | Madhusudhan Zalki | Almost sure limit points for subsequences of Record Values | 1997 |
4. | Jyothi K. Deshmukh | Closer Asymptotic Approximations for the Distribution of General Pearson's Chi-Square Statistic | 1997 |
5. | Bharati Gururaj Rao | On the fluctuations of Kth Record values | 2011 |
Research Projects |
On going |
||||
Sl.No. | Title of the project | Funding Agency | Duration |
Amount sanctioned |
1. | Generalized Order Statistics |
DST, New Delhi |
3 years |
8.106 Lacks |
Completed |
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Sl.No. | Title of the project | Funding Agency | Duration |
Amount sanctioned |
1. | Partial Maxima and Record Values | DST, New Delhi | 3 years | 5 Lacks |
2. | Some Contributions to Record Values and Order Statistics |
CSIR, New Delhi |
3 years |
5 Lacks |
Research Publications |
1. | Nayak, S.S. (1981). Characterizations based on record values. JISA, 19:121-127. |
2. |
Mohan, N.R. & Nayak,S.S. (1982): A characterization based on the equidistribution of the first two spacings of record values. Z. Wahr. Verw. Geb., 60, 219-221. |
3. |
Nayak, S.S. (1984): Almost sure limit points of and the number of boundary crossings related to SLLN and LIL for record times, Inter-record times and the number of record values. Stoch. Process. Appln. 17, 167-176. |
4. |
Nayak, S.S.(1985): Almost sure limit points of independent copies of sample maxima. Stoch. Process. Appln. 20, 353-360. |
5. |
Nayak, S.S. (1985): Record values for and partial maxima of a dependant sequence. JISA, vol. 23, 109-125. |
6. |
Nayak, S.S. (1986): Almost sure limit points of maxima of samples from is independent populations. Sankhya, vol. 48, Ser. A. Pt. 3, pp.273-287. |
7. |
Nayak, S.S. (1986): A zero-one law for the partial maxima of samples from is independent populations. Sankhya, vol. 48, Ser. A., Pt.3, pp.288-298. |
8. |
Nayak, S.S. (1988): Almost sure limit points of sample extremes of an IID sequence. Acta Math. Hung. 51 (1-2), pp. 35-45. |
9. |
Nayak, S.S. (1989): On the moments of the number of boundary crossings of sample extremes. JISA, vol. 27, pp.47-54. |
10. |
Nayak, S.S. (1989): On the tail behaviour of record values. Sankhya, vol. 51, Ser. A, Pt. 3, pp. 390-401. |
11. |
Nayak, S.S. & Sujatha D. (1991): Boundary crossings of partial maxima of IID sequences. JISA, vol. 29, pp. 63-68. |
12. |
Nayak, S.S. & Wali, K.S. (1992): On the number of boundary crossings related to LIL and SLLN for record values and partial maxima of IID sequences and extremes of uniform spacings. Stoch. Process. Appln. vol. 43, pp. 317-329. |
13. |
Nayak, S.S. & Wali, K.S. (1994): Almost sure limit points of extremes of samples from two independent populations. Sankhya, vol. 56, Ser. A., Pt. 2, pp. 294-319. |
14. |
Nayak, S.S. & Sujatha S. Inginshetty (1995): On record values. J.ISPS. vol. 2, pp. 43-57. |
15. |
Nayak, S.S. & Sujatha S. Inginshetty (1996-97): Tail behaviours of partial maxima and record values of IID sequences. J.ISPS, vol. 3-4, pp. 77-91. |
16. |
Nayak, S.S. & Madhusudhan Zalki (1999): Exponential and Geometric Characterizations using functions of record values. Journal of Indian Statistical Association. Vol. 37, 141-152. |
17. |
Nayak, S.S., Aruna Rao, K., Sujatha S.I. & Jyothi K. Deshmukh (2000): Closer Asymptotic Approximation for the Distribution of Generalized Pearson's Chi-Square Statistic. Statistical Methods, vol. 2(1), pp. 59-71. |
18. |
Nayak, S.S. & Madhusudhan Zalki (2000): On the fluctuations of independent copies of moving maxima. Statistics & Probability Letters. Vol. 50, pp. 351-356. |
19. |
Nayak, S.S. & Madhusudhan Zalki (2000): On Multivariate Records. Journal of Stochastic Modelling & Applications. Vol.3, No. 2., pp. 48-57. |
20. |
Nayak, S.S. & Madhusudhan Zalki (2001): Almost sure limit points of record values from two independent populations. Statistics & Probability Letters, vol.51,pp181-187. |
21. |
Nayak, S.S. & Madhusudhan Zalki (2001): Record values under power normalization. Statistical Methods, Vol. 3, No.1, pp. 16-25. |
22. |
Nayak, S.S. & Wali, K.S. (2003): On the Independent Copies of Partial Maxima for samples from two independent populations. Vijnana Ganga. Gulbarga University Research Journal (Science and Technology), Vol. 3, Number 3& 4, pp.87-102. |
23. |
Nayak, S.S. and Kunchi, M.C. (2006): “Characterizations of distributions using independence of functions of generalized order statistics”. Journal of Indian Statistical Association., vol. 44 no -2 , pp-137 - 155. |
24. | Nayak, S.S. and Kunchi, M.C. (2008): Characterizations by Regression of Generalized Order Statistics. International Journal of Agriculture and Statistical Sciences. vol. 4, no -2 , pp 365 - 378. |
25. | Nayak, S.S. and Kunchi, M.C. (2008): Almost Sure Limit points of Record Values. International Journal of Agriculture and Statistical Sciences. vol. 4, no -2 , pp 489 - 500. |
26. | Nayak, S.S. and Kunchi, M.C. (2008) : On Density Convergence for Record Values. Journal of Indian Statistical Association. vol. 46, no 1, pp 31-42. |
27. | Nayak, S.S. and Kunchi, M.C. (2008) : Characterizations using Equi-Distribution of Functions of Generalized Order Statistics Journal of Indian Statistical Association. vol. 46, no 1, pp 43-53. |
28. | Nayak, S.S. and Kunchi, M.C. (2009) : Limits points for Subsequences of Record Values International Journal of Agriculture and Statistical Sciences. vol. 5, no1 june, pp 13-23. |
29. | Nayak, S.S. and S.S. Inginshetty (2010): On the Partial Maxima of Samples from two independent populations, International Journal of Agriculture and Statistical Sciences. vol. 6, no. 1 , pp 41-52. |
Membership of Professional Organizations |
1. | Life member of the Indian Society for Probability & Statistics (ISPS). |
Seminars/Conferences/Workshops/Training Programmes Organized |
1. | Organized a workshop on the undergraduate common syllabus on B.Sc. Mathematical Statistics from 29.06.1994 to 30.06.1994. |
2. |
Organized a Refresher Course in Statistics for college teachers from 1-10-1995 to 28-10-1995. |
3. | Organized a Workshop for college teachers on “Popularizing Statistics” on 29-11-2002. |
4. | Organized a One day workshop on Mathematical Sciences for P.G. and U.G. Teacher on 31-03-2008 |
5. | Organized a National Conference on "Recent Development In Statistics" (Sponsored by UGC ) on 8 -9 September 2011. |
Seminars/Conferences/Workshops/Training Programmes |
1. | The 78^{th} session of the Indian Science Congress Association held at Indore, Bhopal from 3-1-1991 to 9-1-1991 and presented the paper "On the number of boundary crossings related to LIL and SLLN for record values". |
2. | XVIth Annual Conference of the Indian Society for Probability & Statistics held at the Dept. of Statistics, Osmania University, Hyderabad from 18-12-1995 to 21-12-1995. |
3. |
Seminar on "Policy Frames & Programmes of the UGC for the 9^{th} Five Year Plan" on Jan 25, 1997 at the Gulbarga University, Gulbarga. |
4. |
National Conference on "Recent Developments In Statistical Inference" held at the Dept. of Statistics, Karnatak Univeresity, Dharwad from 27-11-1998 to 29-11-1998 and presented the paper "Testing of hypotheses for the parameters of the distribution of the family size". |
5. |
National Seminar on "Developments in Statistical Science" held at the Dept. of Statistics, Bangalore University from 12-8-1998 to 13-8-1998 and presented the paper "On the fluctuations of independent copies of moving maxima". Also, chaired a session of presentation of papers. |
6. |
International Conference on "Combinatorics, Statistics, Pattern Recognition and Related Areas" held at the Dept. of Statistics, Manasagangotri, University of Mysore from 28-12-1998 to 30-12-1998 and presented the paper "Almost sure limit points of record values from two independent populations". |
7. |
National Conference on "Statistical Modelling" held at the Dept. of Statistics, Shivaji University, Kolhapur from 25-11-1999 to 27-11-1999 and presented the paper " Record values under power normalization". |
8. |
National Conference on "Recent Developments in Statistical Models and Inference" held at the Dept. of Statistics, Karnatak Univeristy, Dharwad from 17-2-2000 to 19-2-2000 and presented the paper "Characterisation of distributions using functions of record values" (Invited speaker). |
9. |
International Conference on "Order Statistics & Extreme values: Theory & Applications" held at the dept. of Statistics, Manasagangotri, University of Mysore from 18-12-2000 to 20-12-2000 and presented the paper " A Limit Theorem for Record Values from the EARMA (1,1) process" (Invited Speaker). |
10. |
Attended & participated in "National Workshop On Integrated Academics" from 26-2-2001 to 27-2-2001 at the Gulbarga University, Gulbarga. |
11. | Attended the "National conference on Recent Developments in Statistical Science held at the Dept. of statistics, Karnatak University, Dharwad from 26-2-2002 to 28-2-2002 and gave the invited talk "Multivariate Records". Also chaired one of the sessions on contributory papers. |
12. |
Attended the National Conference on “Recent Developments in Statistics, Probability and Stochastic Processes” held at the Dept. of Statistics, S.K. University, Anatapur from 09.12.2002 to 11.12.2002 and gave the invited talk “Characterization of distributions through Order Statistics and Record Values”. Also chaired one of the sessions on contributory papers. |
13. |
Attended The National Seminar on Order Statistics and Concomitants during November 26 –28, 2004, held at the Department of Statistics, University of Mysore and gave the invited lecture entitled “Bounds For The Moments And Differences of Moments Of Record Values From a Continuous Distribution”. |
14. |
Attended The National Seminar on Statistical Modelling and Inference” during February 12-14, 2007, held at the Department of Statistics, Shivaji University, Kolhapur and gave the invited lecture entitled “Almost sure limit points of record values”. Also chaired one of the sessions. |
15. |
Acted as resource person for the University Level Workshop on “Research Methods in Social Sciences” held in Gulbarga University on 2^{nd} and 3^{rd} Jan. 2006. Gave lectures on “Sampling Techniques and Tools of Data Collection” |
16. |
Attended the Workshop on “Census Data Dissemination” on 20-02-2007 held at Gulbarga University, Gulbarga. |
17. |
Attended the National Conference on “Statistical Modelling and Inference” held at the dept. of Statistics, Shivaji University, Kolhapur from 12^{th} Feb. to 14^{th} Feb. 2007 and presented the paper entitled “Almost sure limit points of Record Values". Also chaired one of the sessions on contributory papers. |
18. | Attended the International Conference on Statistics held at the dept. of Statistics, University of Mumbai from 31^{st} May to 2^{nd} June 2007 and presented a paper entitled “ Characterizations of distributions using independence of functions of generalized order statistics”. Also chaired one of the sessions on contributory papers. |
19. | Attended the One day seminar on " Recent Developments in Probability and Mathematical Science" from 29 - 31 October 2007 at The Department of Statistics, Manasagangothri, University of Mysore, Mysore and presented the Paper " Some Characterizations using Equi - Distribution of functions Generalized Order Statistics. |