Prem C. Consul

Professor Emeritus

Department of Mathematics and Statistics


Contact information

Phone

Office: 403.210.6413

Location

Office : MS477

Publications

Book

  • Consul, Prem C.. Generalized {P}oisson distributions 99. Marcel Dekker Inc., 1989. xii+302. Print.
  • Consul, Prem C. and Shenton, L. R.. On the multivariate generalization of the family of discrete {L}agrange distributions North-Holland, 1973. 13-23. Print.
  • Consul, Prem C.. The exact distributions of likelihood criteria for different hypotheses Academic Press, 1969. 171-181. Print.

Journal Article

  • Consul, Prem C. and Famoye, Felix. "On {L}agrangian distributions of the second kind". Communications in Statistics. Theory and Methods 30.1 (2001): 165-178. Print.
  • Consul, Prem C. and Famoye, Felix. "Lagrangian {K}atz family of distributions". Communications in Statistics. Theory and Methods 25.2 (1996): 415-434. Print.
  • Famoye, Felix and Consul, Prem C.. "Bivariate generalized {P}oisson distribution with some applications". Metrika. International Journal for Theoretical and Applied Statistics 42.2 (1995): 127-138. Print.
  • Consul, Prem C.. "On some probability distributions associated with random walks". Communications in Statistics. Theory and Methods 23.11 (1994): 3241-3255. Print.
  • Consul, Prem C.. "Some bivariate families of {L}agrangian probability distributions". Communications in Statistics. Theory and Methods 23.10 (1994): 2895-2906. Print.
  • Famoye, Felix and Consul, Prem C.. "The truncated generalized negative binomial distribution". Journal of Applied Statistical Science 1.2 (1993): 141-157. Print.
  • Islam, M. N. and Consul, Prem C.. "The generalized negative binomial distribution as a horse-racing model and its empirical {B}ayes estimation". Journal of Statistical Research 26.1-2 (1992): 17-28. Print.
  • Famoye, Felix and Consul, Prem C.. "Interval estimation and hypothesis testing for the generalized {P}oisson distribution". American Journal of Mathematical and Management Sciences 10.1-2 (1990): 127-158. Print.
  • Consul, Prem C.. "A model for distributions of injuries in auto-accidents". Schweizerische Vereinigung der Versicherungsmathematiker. Mitteilungen, 1 (1990): 161-168. Print.
  • Consul, Prem C.. "Geeta distribution and its properties". Communications in Statistics. Theory and Methods 19.8 (1990): 3051-3068. Print.
  • Consul, Prem C.. "On some properties and applications of quasi-binomial distribution". Communications in Statistics. Theory and Methods 19.2 (1990): 477-504. Print.
  • Consul, Prem C.. "New class of location-parameter discrete probability distributions and their characterizations". Communications in Statistics. Theory and Methods 19.12 (1990): 4653-4666 (1991). Print.
  • Consul, Prem C. and Famoye, Felix. "Minimum variance unbiased estimation for the {L}agrange power series distributions". Statistics. A Journal of Theoretical and Applied Statistics 20.3 (1989): 407-415. Print.
  • Famoye, Felix and Consul, Prem C.. "Confidence interval estimation in the class of modified power series distributions". Statistics. A Journal of Theoretical and Applied Statistics 20.1 (1989): 141-148. Print.
  • Famoye, Felix and Consul, Prem C.. "A stochastic urn model for the generalized negative binomial distribution". Statistics. A Journal of Theoretical and Applied Statistics 20.4 (1989): 607-613. Print.
  • Shoukri, M. M. and Consul, Prem C.. "Bayesian analysis of a generalized {P}oisson distribution". Communications in Statistics. Simulation and Computation 18.4 (1989): 1465-1480. Print.
  • Consul, Prem C. and Famoye, Felix. "The truncated generalized {P}oisson distribution and its estimation". Communications in Statistics. Theory and Methods 18.10 (1989): 3635-3648. Print.
  • Consul, Prem C.. "On the differences of two generalized negative binomial variates". Communications in Statistics. Theory and Methods 18.2 (1989): 673-690. Print.
  • Consul, Prem C. and Shoukri, M. M.. "Some chance mechanisms related to a generalized {P}oisson probability model". American Journal of Mathematical and Management Sciences 8.1-2 (1988): 181-202. Print.
  • Consul, Prem C.. "On some models leading to the generalized {P}oisson distribution". Communications in Statistics. Theory and Methods 17.2 (1988): 423-442. Print.
  • Consul, Prem C. and Famoye, Felix. "Maximum likelihood estimation for the generalized {P}oisson distribution when sample mean is larger than sample variance". Communications in Statistics. Theory and Methods 17.1 (1988): 299-309. Print.
  • Consul, Prem C. and Famoye, Felix. "On the unimodality of the generalized negative binomial distribution". Statistica Neerlandica. Journal of the Netherlands Society for Statistics and Operations Research 40.3 (1986): 141-144. Print.
  • Consul, Prem C. and Famoye, Felix. "On the unimodality of generalized {P}oisson distribution". Statistica Neerlandica. Journal of the Netherlands Society for Statistics and Operations Research 40.2 (1986): 117-122. Print.
  • Islam, M. N. and Consul, Prem C.. "Bayesian estimation in a generalized negative binomial distribution". Biometrical Journal 28.3 (1986): 259-266. Print.
  • Consul, Prem C.. "On the differences of two generalized {P}oisson variates". Communications in Statistics. B. Simulation and Computation 15.3 (1986): 761-767. Print.
  • Consul, Prem C. and Shoukri, M. M.. "The negative integer moments of the generalized {P}oisson distribution". Communications in Statistics. B. Simulation and Computation 15.4 (1986): 1053-1064. Print.
  • Consul, Prem C. and Shoukri, M. M.. "Erratum: ``{M}aximum likelihood estimation for the generalized {P}oisson distribution'' [{C}omm.\ {S}tatist.\ {A}-{T}heory {M}ethods {\bf 13} (1984), no.\ 12, 1533-1547; {MR} \refmr {MR}0742519 (85c:62065)\endrefmr]". Communications in Statistics. A. Theory and Methods 14.12 (1985): 3147. Print.
  • Consul, Prem C.. "On the distributions of order statistics for a random sample size". Statistica Neerlandica. Journal of the Netherlands Society for Statistics and Operations Research 38.4 (1984): 249-256. Print.
  • Consul, Prem C. and Shoukri, M. M.. "Maximum likelihood estimation for the generalized {P}oisson distribution". Communications in Statistics. A. Theory and Methods 13.12 (1984): 1533-1547. Print.
  • Shoukri, M. M. and Consul, Prem C.. "Bivariate modified power series distribution. {S}ome properties, estimation and applications". Biometrical Journal 24.8 (1982): 787-799. Print.
  • Consul, Prem C.. "Relation of modified power series distributions to {L}agrangian probability distributions". Communications in Statistics. A. Theory and Methods 10.20 (1981): 2039-2046. Print.
  • Consul, Prem C. and Gupta, H. C.. "The generalized negative binomial distribution and its characterization by zero regression". SIAM Journal on Applied Mathematics 39.2 (1980): 231-237. Print.
  • Kumar, Ashish and Consul, Prem C.. "Minimum variance unbiased estimation for modified power series distribution". Communications in Statistics. A. Theory and Methods 9.12 (1980): 1261-1275. Print.
  • Kumar, Ashish and Consul, Prem C.. "Negative moments of a modified power series distribution and bias of the maximum likelihood estimator". Communications in Statistics. A. Theory and Methods 8.2 (1979): 151-166. Print.
  • Consul, Prem C. and Mittal, S. P.. "Some discrete multinomial probability models with predetermined strategy". Biometrical Journal 19.3 (1977): 161-173. Print.
  • Shenton, L. R. and Consul, Prem C.. "A new functional equation with some solutions". The Rocky Mountain Journal of Mathematics 6.2 (1976): 321-330. Print.
  • Consul, Prem C.. "Some factorable determinants". The Fibonacci Quarterly. The Official Journal of the Fibonacci Association 14.2 (1976): 171-172. Print.
  • Consul, Prem C.. "On a characterization of {L}agrangian {P}oisson and quasi-binomial distributions". Comm. Statist. 4. (1975): 555-563. Print.
  • Consul, Prem C. and Mittal, S. P.. "A new urn model with predetermined strategy". Biometrische Z. 17. (1975): 67-75. Print.
  • Consul, Prem C.. "A simple urn model dependent upon predetermined strategy". Sankhy\=a Ser. B 36.4 (1974): 391-399. Print.
  • Shenton, L. R. and Consul, Prem C.. "On bivariate {L}agrange and {B}orel-{T}anner distributions and their use in queueing theory". Sankhy\=a Ser. A 35. (1973): 229-236. Print.
  • Consul, Prem C. and Jain, G. C.. "A generalization of the {P}oisson distribution". Technometrics 15. (1973): 791-799. Print.
  • Consul, Prem C. and Shenton, L. R.. "Some interesting properties of {L}agrangian distributions". Comm. Statist. 2. (1973): 263-272. Print.
  • Consul, Prem C. and Jain, G. C.. "On some interesting properties of the generalized {P}oisson distribution". Biometrische Z. 15. (1973): 495-500. Print.
  • Consul, Prem C. and Shenton, L. R.. "Use of {L}agrange expansion for generating discrete generalized probability distributions". SIAM Journal on Applied Mathematics 23. (1972): 239-248. Print.
  • Jain, G. C. and Consul, Prem C.. "A generalized negative binomial distribution". SIAM Journal on Applied Mathematics 21. (1971): 501-513. Print.
  • Consul, Prem C. and Kemp, M. J.. "On an interesting property of a combinatorial function". Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques 13. (1970): 533-536. Print.
  • Consul, Prem C.. "On the exact distributions of {V}otaw's criteria for testing compound symmetry of a covariance matrix". Ann. Math. Statist. 40. (1969): 836-843. Print.
  • Consul, Prem C.. "On the distribution of {V}otaw's likelihood ratio criterion {$L$} for testing the bipolarity of a convariance matrix". Mathematische Nachrichten 36. (1968): 1-13. Print.
  • Consul, Prem C.. "On some integrals in operational calculus". Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 12 (60).4 (1968): 35-42 (1969). Print.
  • Consul, Prem C.. "On {L}aplace and {H}ankel transforms of {B}essel polynomials". Acad. Roy. Belg. Bull. Cl. Sci. (5) 54. (1968): 527-536. Print.
  • Consul, Prem C.. "On the exact distributions of likelihood ratio criteria for testing independence of sets of variates under the null hypothesis". Ann. Math. Statist. 38. (1967): 1160-1169. Print.
  • Consul, Prem C.. "On the exact distributions of the criterion {$W$} for testing sphericity in a {$p$}-variate normal distribution". Ann. Math. Statist 38. (1967): 1170-1174. Print.
  • Consul, Prem C.. "On the distribution of the ratio of the measures of divergence between two multivariate populations". Mathematische Nachrichten 32. (1966): 149-155. Print.
  • Consul, Prem C.. "On the exact distributions of the likelihood ratio criteria for testing linear hypotheses about regression coefficients". Ann. Math. Statist. 37. (1966): 1319-1330. Print.
  • Consul, Prem C.. "A note on some special {$G-$}functions". Acad. Roy. Belg. Bull. Cl. Sci. (5) 52. (1966): 1271-1274. Print.
  • Consul, Prem C.. "On some reduction formulae for hypergeometric functions". Acad. Roy. Belg. Bull. Cl. Sci. (5) 52. (1966): 562-576. Print.
  • Consul, Prem C.. "On some inverse {M}ellin integral transforms". Acad. Roy. Belg. Bull. Cl. Sci. (5) 52. (1966): 547-561. Print.
  • Consul, Prem C.. "On a new multivariate distribution and its properties". Acad. Roy. Belg. Bull. Cl. Sci. (5) 51. (1965): 810-818. Print.
  • Consul, Prem C.. "The exact distribution of certain likelihood criteria useful in multivariate analysis". Acad. Roy. Belg. Bull. Cl. Sci. (5) 51. (1965): 683-691. Print.
  • Consul, Prem C.. "Distribution of the determinant of the sum of products matrix in the non-central linear case". Mathematische Nachrichten 28. (1964/1965): 169-179. Print.
  • Consul, Prem C.. "On the limiting distribution of some statistics proposed for tests of hypotheses". Sankhy\=a Ser. A 26. (1964): 279-286. Print.
  • Consul, Prem C.. "Hypergeometric function". Sankhy\=a Ser. B 25. (1963): 197-214. Print.
  • Consul, Prem C.. "On the distribution, and its cumulants, of the sum of squares of the dispersion about the mean of {$n$} ordered variates subject to a linear restraint". Acad. Roy. Belg. Bull. Cl. Sci. (5) 48. (1962): 715-719. Print.