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Prem C. Consul

Job Title:

  • Professor Emeritus

Phone:

  • +1 (403) 220-7225

Office:

  • MS 337
Representative Publications:
Journal Paper
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
Consul, Prem C. and Famoye, Felix. "Lagrangian {K}atz family of distributions" Communications in Statistics. Theory and Methods 25.2 (1996): 415-434
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
Consul, Prem C. . "On some probability distributions associated with random walks" Communications in Statistics. Theory and Methods 23.11 (1994): 3241-3255
Consul, Prem C. . "Some bivariate families of {L}agrangian probability distributions" Communications in Statistics. Theory and Methods 23.10 (1994): 2895-2906
Famoye, Felix and Consul, Prem C. . "The truncated generalized negative binomial distribution" Journal of Applied Statistical Science 1.2 (1993): 141-157
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
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)
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
Consul, Prem C. . "Geeta distribution and its properties" Communications in Statistics. Theory and Methods 19.8 (1990): 3051-3068
Consul, Prem C. . "On some properties and applications of quasi-binomial distribution" Communications in Statistics. Theory and Methods 19.2 (1990): 477-504
Consul, Prem C. . "A model for distributions of injuries in auto-accidents" Schweizerische Vereinigung der Versicherungsmathematiker. Mitteilungen1 (1990): 161-168
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
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
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
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
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
Consul, Prem C. . "On the differences of two generalized negative binomial variates" Communications in Statistics. Theory and Methods 18.2 (1989): 673-690
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
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
Consul, Prem C. . "On some models leading to the generalized {P}oisson distribution" Communications in Statistics. Theory and Methods 17.2 (1988): 423-442
Consul, Prem C. . "On the differences of two generalized {P}oisson variates" Communications in Statistics. B. Simulation and Computation 15.3 (1986): 761-767
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
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
Islam, M. N. and Consul, Prem C. . "Bayesian estimation in a generalized negative binomial distribution" Biometrical Journal 28.3 (1986): 259-266
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
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
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
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
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
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
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
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
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
Consul, Prem C. and Mittal, S. P. "Some discrete multinomial probability models with predetermined strategy" Biometrical Journal 19.3 (1977): 161-173
Consul, Prem C. . "Some factorable determinants" The Fibonacci Quarterly. The Official Journal of the Fibonacci Association 14.2 (1976): 171-172
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
Consul, Prem C. . "On a characterization of {L}agrangian {P}oisson and quasi-binomial distributions" Comm. Statist. 4 (1975): 555-563
Consul, Prem C. and Mittal, S. P. "A new urn model with predetermined strategy" Biometrische Z. 17 (1975): 67-75
Consul, Prem C. . "A simple urn model dependent upon predetermined strategy" Sankhy\=a Ser. B 36.4 (1974): 391-399
Consul, Prem C. and Jain, G. C. "On some interesting properties of the generalized {P}oisson distribution" Biometrische Z. 15 (1973): 495-500
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
Consul, Prem C. and Shenton, L. R. "Some interesting properties of {L}agrangian distributions" Comm. Statist. 2 (1973): 263-272
Consul, Prem C. and Jain, G. C. "A generalization of the {P}oisson distribution" Technometrics 15 (1973): 791-799
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
Jain, G. C. and Consul, Prem C. . "A generalized negative binomial distribution" SIAM Journal on Applied Mathematics 21 (1971): 501-513
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
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
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
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
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)
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
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
Consul, Prem C. . "On some reduction formulae for hypergeometric functions" Acad. Roy. Belg. Bull. Cl. Sci. (5) 52 (1966): 562-576
Consul, Prem C. . "A note on some special {$G-$}functions" Acad. Roy. Belg. Bull. Cl. Sci. (5) 52 (1966): 1271-1274
Consul, Prem C. . "On the distribution of the ratio of the measures of divergence between two multivariate populations" Mathematische Nachrichten 32 (1966): 149-155
Consul, Prem C. . "On some inverse {M}ellin integral transforms" Acad. Roy. Belg. Bull. Cl. Sci. (5) 52 (1966): 547-561
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
Consul, Prem C. . "On a new multivariate distribution and its properties" Acad. Roy. Belg. Bull. Cl. Sci. (5) 51 (1965): 810-818
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
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
Consul, Prem C. . "On the limiting distribution of some statistics proposed for tests of hypotheses" Sankhy\=a Ser. A 26 (1964): 279-286
Consul, Prem C. . "Hypergeometric function" Sankhy\=a Ser. B 25 (1963): 197-214
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
Book
Consul, Prem C. . Generalized {P}oisson distributions 99, Marcel Dekker Inc. (1989): xii+302
Consul, Prem C. and Shenton, L. R. On the multivariate generalization of the family of discrete {L}agrange distributions North-Holland (1973): 13-23
Consul, Prem C. . The exact distributions of likelihood criteria for different hypotheses Academic Press (1969): 171-181