PUBLICATIONS

 

REFEREED PAPERS

 

             

59.  P. Kumar and A. Johnson, “On A Symmetric Divergence Measure and Information Inequalities”. Journal of Inequalities in Pure and Appl. Math., 6, 3, pp. 1-13, 2005. ( pdf )

 

58. Pranesh Kumar and  I. J. Taneja, “On Unified Generalizations of Relative Jenson-Shannon and Arithmetic-Geometric Divergence Measures and Their properties”. Ind.  Jour.  Math. and Math. Sc., 1, 1,  pp. 77-97, 2005. ( pdf )

57. Pranesh Kumar and Susan Chinna, “A Symmetric Information Divergence Measure of the Csiszar’s f-Divergence Class”. Computers and Mathematics with Applications, 49, pp. 575-88, 2005. ( pdf )

56. Pranesh Kumar, “The Ostrowski Type Moment Integral Inequalities and Moment-Bounds for Continuous Random Variables”. Computers and Mathematics with Applications, 49,11-12, pp. 1929-40, 2005. (  pdf )

 

55.  Pranesh Kumar, "Inequalities Involving the Moments of a Continuous Random Variable Defined Over a Finite Interval". Computers and Mathematics with Applications, 48, pp. 257-73, 2004. (  pdf )

 

54.  Pranesh Kumar and Laura Hunter, “Information Divergence Measures and Information Inequalities”. Carpathian Jour. Math., 20,1, pp.51-66, 2004. (  pdf )

 

53. I.J.Taneja and Pranesh Kumar, “Relative Information of Type s, Csiszar's f-Divergence, and Information Inequalities”.  Information Sciences, 166, pp.105-125, 2004. (  pdf )

52. Hemantha S.B. Herath and Pranesh Kumar," On Simple Binomial Approximations for Two Variables in Finance Applications ". Advances in Investment Analysis and Portfolio Management (In press). (  pdf )

 

51. Hemantha S.B. Herath and Pranesh Kumar,"Multinomial Approximating Models for Options". Advances in Investment Analysis and Portfolio Management (In press). (  pdf )

 

50. B.C. Sutradhar and P. Kumar, ”The Inversion of Correlation Matrix for MA(1) Process”, Applied Mathematics Letters,16,317-321,2003.  (  pdf )

 

49.  Pranesh Kumar, "Moment Inequalities of a Random Variable Defined Over a Finite Interval" Journal of Inequalities in Pure and Appl. Math.,3,article 41,1-11,2002. ( pdf )

 

48. Pranesh Kumar, S.P.Singh and S.S.Dragomir, "Some Inequalities Involving Beta and Gamma Functions", Nonlinear Analysis Forum, 6(1),pp.143-150,2001. ( pdf )

 

47.  Hemantha S.B. Herath and Pranesh Kumar, "The Jackknife Estimator for Estimating Volatality of Volatality of a Stock", Corporate Finance Review,7,3, 13-21,2002. ( pdf )

 

46. B.C. Sutradhar and P. Kumar, ”On the efficiency of type - 2 generalized and extended generalized estimating equations approaches”, Statistics and Probability Letters,55,53-61,2001.  (  pdf )

 

45. Agarwal, S.K., Al-Mutairi, D.K. and Kumar, P., "Selecting Between Two Concomitant Variables In Ratio Method Of Estimation", Journal of Applied Mathematics and Computations,124(2),227-234,2001.

 

44. S.S.Dragomir, Pranesh Kumar and S.P.Singh, "Mathematical Inequalities with Applications to the Beta and Gamma Mappings-II", Indian J. Math,42,3,277-296,2000. (  pdf )

 

43. S.S.Dragomir, Pranesh Kumar and S.P.Singh, "Mathematical Inequalities with Applications to the Beta and Gamma Mappings-I, Indian J. Mathematics,2000. (  pdf )

 

42. Pranesh Kumar and S.N. Singh, "On Some Properties of the Modified Generalized Gamma Distribution", Pure and Applied Mathematika Sciences, Vol. L, 1-2,17-23, September,1999.

 

41. Pranesh Kumar and S.S Dragomir, "Some Inequalities for the Gamma Functions and Moment Ratios of Gamma Variables",  Indian Journal of Mathematics.

 

40. S.S. Dragomir, N.M. Dragomir and K. Pranesh,”An Inequality for logarithms and applications in information theory”, Journal of Computers & Mathematics with Applications,38,11-17,1999. (  pdf )

 

39. P. Kumar and Nihan Kesim,"On ascertaining superiority of without replacement sampling over with replacement sampling with unequal probabilities", Jour.Ind.Soc.Ag.Stat.,52(2),201-209,1999.

 

38. P. Kumar,T. S. Mwamwenda and A. Dye,”Incentive-driven research at the University of Transkei”, Research in Education, 61,49-53, May 1999.

 

37. S.K. Agarwal and P. Kumar,"On the relative efficiency of estimators of population total in unequal probability sampling when study variable has weaker relationship with size variable", Computational Statistics and Data Analysis, 28,271-281,1998.

 

36. S.S. Dragomir, N.M. Dragomir and P. Kumar,"Some estimations of Kraft numbers and related results", Soochow Jour. Math., 25,4,291-296,1998.

 

35. P. Kumar and S. K. Agarwal,"Alternative estimators for the population totals in multi-character surveys",Communications-in- Statistics: Theory & Methods,26,No.10, 2527-2537, 1997.

 

34. P. S. Pandey, O. P. Kathuria and P. Kumar,"Some estimators for estimating the average fish catch from the inland water resources", Statistica,LIII,4,573-582,1993.

 

33. G. M. Naimani and P. Kumar,"Spatial variations and trends in agricultural efficiency in Tanzania", Eastern Africa Economic Rev., 195-201, 1993.

 

32. A. Herzel and P. Kumar,"On a class of congruent sample designs and their properties", Statistica, L, 4, 471-482, 1990.

 

31. P. Kumar and S. K. Agarwal,"A note on estimation of finite population total using unequal probability sampling schemes", Statistica, XLIV, 4, 1989,513-518 (1990).

 

30. P. Kumar and A. Herzel,”Estimating population totals in surveys involving multi-characters",Metron,XLVI,1-4,33-46,1988.

 

29. P. Kumar and D. L. Ahuja,"On estimating regression coefficients unbiasedly", Cahiers du CERO, 30, 1, 69-72, 1988.

 

28. P. Kumar and D. C. Mathur,"Study of the spatial changes in the area, production and average yield of rapeseed and mustard", Agric. Situation, 1988.

 

27. P. Kumar, V. K. Gupta and A. K. Nigam,"On sample selection procedures using two auxiliary characters", Statistica, XLVII,2, 219-225, 1987.

 

26. P. Kumar,"On an estimator in unequal probability sampling without replacement", Cahiers du CERO, 29, 1-2, 101-104, 1987.

 

25. P. Kumar,"On sampling of three units using varying Probabilities", Statistics, 18, 3, 1987.

 

24. P. Kumar,"On some properties of the ratio estimators under size stratification and estimation in uni-stage successive sampling", Egyptian Statis. Jour., 30,45-60, 1986.

 

23. A. K. Chaubey, P. Kumar and B. S. Goel," Some estimators for multiple characteristics", Statistika, 258-267, 1986.

 

22. S. K. Agarwal and P. Kumar,"On two auxiliary variates in ratio method of stimation", Biometrical Jour., 27, 2,1985.

 

21. S. K. Agarwal, and P. Kumar,"A ratio cum PPS estimator in unequal probability sampling", Statistics, 16, 4, 1985.

 

20. P. Kumar, V. K. Gupta and A. K. Nigam,"On inclusion probability proportional to size sampling schemes", Jour. Statis. Plan. & Inf., 12, 127-131, 1985.

 

19. P. Kumar, V. K.Gupta and S. K. Agarwal,"On variance estimation in unequal probability sampling",Australian Jour. Statis.,27,2,195-201,1985.

 

18. P. Kumar,"On the efficiency of the ratio estimators under size stratification",Jour. Ind. Soc. Agric. Statis., XXXVII, 2, 121-130,1985.

 

17. P. Kumar and S. K. Agarwal,"A general class of unequal probability sampling schemes for samples of two units from finite populations", Cahiers du CERO, 27, 3-4, 229-233, 1985.

 

16. P. Kumar, O. P. Kathuria and S. K. Agarwal,"On a sampling scheme with inclusion probability proportional to size", Math. Oper. Statis., Ser. Statis.,15, 4, 595-600, 1984.

 

15. P. Kumar, A. K. Srivastava and P. Singh,"A study of price behavior of vegetables in some colonies of Delhi", Jour. Ind. Soc. Agric. Statis., XXXVI, 1, 38-50, 1984.

 

14. A. K. Gupta, R. N. Garg and P. Kumar,"Impact of labor and irrigation on the yield of vegetables",Ann. Agric. Res.,5,1-2,74-83,1984.

 

13. A. K. Nigam, P. Kumar and V. K. Gupta,"Some methods of inclusion probability proportional to size sample", Jour. Royal Statis. Soc.,B,46, 3, 564-571, 1984.

 

12. M. Singh, P. Kumar and R. R. Chandak,"Use of multi-auxiliary variables as a condensed auxiliary variable in selecting a sample", Communications-in-Statistics. : Theory & Methods, 12,4, 1685-1697, 1983.

 

11. P. Kumar and B. M. Sharma,"Growth rates of agricultural wages in Haryana-a case study",Ind. Jour. Agric. Econ.,XXXVIII,2,202-207,1983.

 

10. S. K. Agarwal, P. Kumar and A. Dey,"On unequal probability sampling of two units without replacement", Jour. Royal Statis. Soc., B,44, 43-46, 1982.

 

9. V. K. Gupta, A. K. Nigam and P. Kumar,"On a family of sampling schemes with inclusion probability proportional to size", Biometrika,69, 1, 191-196, 1982.

 

8. P. Kumar and S. K. Agarwal,"On a simple procedure of inclusion probability proportional to size  (IPPS) sampling", Biometrical Jour., 24,8, 801-806, 1982.

 

7. S. K. Agarwal and P. Kumar,"A note on the Rao's inclusion probability proportional to size sampling scheme", Biometrical Jour.,24, 8, 807-809, 1982.

 

6. P. Kumar and V. K. Gupta,"On ratio estimators in two phase sampling under size stratification", Math. Oper. statis., Ser. Statis.,12, 3, 419-427, 1981.

 

5. P. Kumar and V. K. Gupta,"On ratio estimators in two phase sampling under size stratification and estimation over two successive occasions", Math.Oper.Statis., Ser.Statist.,12,3,409-417, 1981.

 

4. S. K. Agarwal and P. Kumar,"Combination of PPS and ratio estimators", Jour.of Ind.Soc .of Agric.Statis.,XXXII,1,81-86,1980.

 

3. I. J. Singh and P. Kumar,"Impact of price and price variability on acreage allocation", Ind. Jour. of Agric. Economics, XXXI, 2, 1976.

 

2. P. Kumar and V. K. Gupta,"Agricultural efficiency in Haryana", Jour. of Research, Haryana Agricultural University, 1975.

 

1. P. Kumar and M. G. Sardana,"Economic analysis of fertilizer trials on pearl millet",Ind. Jour. Agric. Sc.,43,8,817-820,1973.

 

 

INVITED PAPERS IN REFEREED SPECIAL SERIES

 

7. Pranesh Kumar, "Hermite-Hadamard Inequalities and Their Applications in Estimating Moments", Inequality Theory and Applications (in press). (  pdf )

6. Pranesh Kumar, “Moments Inequalities of a Random Variable Defined over a Finite Interval”. Inequality Theory and Applications, Y. J. Cho,  J. K.  Kim,  S. S. Dragomir; Eds., Volume 2, Nova Science Publishers, NY, 2003.

5. P. Kumar and R. J. Yadav,"Use of repeated Latin squares in analyzing the multiple bio-medical responses", Proceedings of the International Meeting on Statistics for Repeated  Measurements, Bressano/ Brixen, 1989.

 

4. P. Singh, R. J. Yadav and P. Kumar,"Adoption of family planning practices and  associated factors", Proceedings of the International Meeting on Official Statistics,Bilbao,Spain,1989.

 

3. V. K. Gupta, A. K. Nigam and P. Kumar,"On inclusion probability proportional to size selection procedures", Silver Jubilee Souvenir(1954-1984),Ind.Soc.Ag.Stat.,Delhi,260-266,1984.

 

2. P. Kumar, B. S. Goel and V. K. Gupta,"On estimation in unequal probability without replacement sampling", Silver Jubilee Souvenir (1954-1984), Ind.Soc.Ag.Statist.,Delhi,254-259,1984.

 

1. P. Kumar and K. N. Rai,"Analysis of trends in the agricultural and industrial wages in Haryana", in Problems and Perspectives, edited and published by the Sri Ram Center for Industrial Relations, Delhi,1975.

 

 

TECHNICAL  PAPERS

           

 

12. P. Kumar,"Some epidemiological investigations into estimating the incidence rates from the prevalence data", URP# 4013, University of Transkei,South Africa,1998.

 

11. P. Kumar,"Utilizing auxiliary information in reducing sampling errors in surveys", URP# 4008,University of Transkei, South Africa,1997.

 

10. P. Kumar,"Empirical investigations into the efficiency of estimators in multiple-character studies",URP#4098,University of Transkei,South Africa, 1996.

 

9. P. Kumar,"On the choice of auxiliary variables when using ratio and product methods of estimation", Economics Department, Discussion Paper No. 94-21, Bilkent University,December,1994.

 

8. P. Kumar,"Some estimators of the population totals in multiple-character surveys",  Economics Department,Discussion paper No.94-20,Bilkent University, November,1994.

 

7. A. Herzel and P. Kumar,"Sample size and efficiency in random sampling without replacement", Serie A - Recherche, No. 20, Diptt. Stat. Prob. e Stat. Appl., University of Rome, 1988.

 

6. A. Herzel and P. Kumar,"On implementing sample designs in sampling from finite populations", Serie A - Recherche, No. 19, Diptt. Stat. Prob. e Stat. Appl., University of Rome, 1988.

 

5. P. Kumar and A. Herzel,"Estimating population totals of  multiple characteristics", Serie A - Recherche, No. 17, Diptt. Stat. Prob. E Stat. Appl., University of Rome, 1988.

 

4. P. Kumar and V. K. Gupta,"Sampling designs involving multiple characters", Ind.Ag.Stat.Res.Inst., Delhi, 1985.

 

3. P. Kumar and A. K. Srivastava,"Study of price behavior of vegetables:use of fractile graphical analysis",Ind.Ag.Stat. Res.Inst.,Delhi, 1982.

 

2. P. Kumar,"Some observations on and suggestions to the fishery statistics program in Philippines", SCSP/UNDP, Manila, Philippines, 1979.

 

1. H. Russell Shaw and P. Kumar,"Long term projections and more general system of analysis of economic data",Policy and Analysis Division: FAO (UN), Rome, 1979.

 

 

PROJECT REPORTS

          

 

7. "Evaluation of primary school nutrition program(PSNP): Assessment of food quality and quantity issues",University of Transkei, South Africa, 1998.

 

6. "Statistical methodology for testing criteria and indicators for the sustainable management of forests", Center for International Forestry Research (CIFOR), Indonesia, 1996.

 

5. "Study of the design effects and sampling errors in the NMS designs",Swedish International Development Agency/Bureau of Statistics,Planning Commission,Tanzania, 1992.

 

4. "The planning and implementation of the rural integrated project support (RIPS) program  in Mtwara and Lindi regions of Tanzania",Finland International Development Agency, Dar es Salaam, Tanzania, 1992.

 

3. "Sampling methodology for analyzing data collected from multi-character surveys", Swedish International Development Agency/Bureau of Statistics,(Planning Commission),Tanzania,1991.

 

2. "Manual for agricultural statistics data collection required for monitoring the impact of macro economic structural adjustment program in Sub-Saharan Africa",FAO(UN),    Dar- es-Salaam,Tanzania,1991.

 

1. "Collection and analysis of cashew data on technical and production inputs",WB/IDA Cashew Improvement Program, Ministry of Agriculture, Tanzania, 1991.

 

HANDBOOKS

 

3. P. Kumar,"Statistical Anlysis Using SAS: A Handbook", Department of Statistics, University of Transkei, South Africa, 1997.

 

2. P. Kumar,"Sample Size Determination For Observational Studies In Medical Research," Department of Statistics, University of Transkei, South Africa, 1996.

 

1. D. Singh, P, Singh and P. Kumar,"Handbook on Sampling Methods", IASRI, Delhi, 1980.