34
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On estimating dirichlet parameters—a comparison of initial values

&
Pages 47-58 | Received 03 Aug 1992, Published online: 20 Mar 2007

References

  • Abromowitz , M. and Stegun , I.A. 1965 . Handbook of Mathematical Functions Dover New York
  • Aitchison , J. 1982 . The Statistical Analysis of Compositional Data . Journal of the Royal Statistical Society Series B , 44 : 139 – 177 .
  • Barabosa , Holanda Fernando . 1977 . Estimadores de Maxima Verossimilhanca dos Parametros da Distribuicao de Dirichlet . Revista Brasileira de Estatistica , 38 : 203 – 220 .
  • Dishon , M. and Weiss , G.H. 1980 . Small Sample Comparison of Estimation Methods for the BetaDistribution . Journal of Statistical Computation and Simulation , 11 : 1 – 11 .
  • Elrod , L.Terry . 1988 . “ A Management Science Assessment of a Behavioral Measure of Brand Loyalty ” . In In Advances in Consumer Research , Edited by: Houston , M.J. Vol. 15 , 481 – 486 . UT Association of Consumer Research . Provo
  • Fielitz , D.Bruce and Buddy , L.Myers . 1975 . Estimation of parameters in the Beta Distribution . Decision Sciences , 6 : 1 – 13 .
  • Goodhardt , G.J. , Ehrenberg , A.S.C. and Chatfield , C. 1984 . “ The Dirichlet: A Comprehensive Model of Buying Behavior ” . In Journal of Royal Statistical Society Vol. 147 , 621 – 655 . Part5
  • Johnson and Kotz . 1970 . Distributions in Statistics: Continuous Univariate Distributions , Vol. 2 , New York : John Wiley .
  • Jones , J.Morgan and Fred , S.Zufryden . 1982 . An Approach for Assessing Demographic and Price Influences on Brand Purchase Behavior . Journal of Marketing , 46 : 36 – 46 .
  • Lau , Hon-Shiang and Hing-Ling Lau , Amy . 1991 . Effective Procedures for Estimating Beta Distri-butions Parameters and their Confidence Intervals . Journal of Statistical Computation and Simu-lation , 38 : 139 – 150 .
  • Mossimann , E.James . 1962 . On the Compound Multinomial Distribution, the Multivariate Beta-Distribution, and Correlation among Proportions . Biometrika , 49 : 65 – 82 .
  • Narayanan , A. 1991a . Small Sample Properties of Parameter Estimation in the Dirichlet Distribu-tion . Communications in Statistics-Simulation , 20 : 647 – 666 .
  • Narayanan , A. 1991b . Maximum Likelihood Estimation of the Parameters of the Dirichlet Distribution . Applied Statistics , 20 : 365 – 374 .
  • Narayanan , A. 1990 . Computer Generation of Dirichlet Random Vectors . Journal of Statistical Computation and Simulation , 36 : 19 – 30 .
  • Rao , C.R. 1973 . Linear Statistical Inference and its Applications , New York : John Wiley .
  • Ronning , G. 1989 . Maximum Likelihood Estimation of Dirichlet Distributions . Journal of Statistical Computation and Simulation , 32 : 215 – 221 .
  • Sabavala , J.Darius and Donald , G.Morrison . 1977 . A Model of TV Show Loyalty . Journal of Advertising Research , 17 ( 6 ) : 35 – 43 .
  • Stewart , John.F . 1979 . The Beta Distribution as a Model of Behavior in Consumer Goods Market . Management Science , 25 ( 9 ) : 813 – 839 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.