Hypothesis Tests for Markov Process Models Estimated from Aggregate Frequency Data

References

• Anderson , T. W. and Goodman , L. A. 1957 . “Statistical Inference About Markov Chains,” . Annals of Mathematical Statistics , 28 : 89 – 110 .
   Google Scholar
• Bedall , Fritz K. 1978 . “Test Statistics for Simple Markov Chains: A Monte Carlo Study,” . Biometrical Journal , 20 : 41 – 49 .
   Google Scholar
• Billingsley , Patrick . 1961a . Statistical Inference for Markov Processes , Chicago , Ill. : University of Chicago Press .
   Google Scholar
• Billingsley , Patrick . 1961b . “Statistical Methods in Markov Chains,” . Annals of Mathematical Statistics , 32 : 12 – 40 .
   Google Scholar
• Box , George E.P. , Hunter , William G. and Hunter , Stuart J. 1978 . Statistics for Experimenters , New York : John Wiley .
   Google Scholar
• Chow , Gregory C. 1960 . “Tests of Equality Between Sets of Coefficients in Two Linear Regressions,” . Econometrica , 28 : 591 – 605 .
   Web of Science ®Google Scholar
• Fisher , Franklin M. 1970 . “Tests of Equality Between Sets of Coefficients in Two Linear Regressions: An Expository Note,” . Econometrica , 38 : 361 – 366 .
   Web of Science ®Google Scholar
• Kelton , Christina M.L. 1981 . “Estimation of Time-Independent Markov Processes With Aggregate Data: A Comparison of Techniques,” . Econometrica , 49 : 517 – 518 .
   Web of Science ®Google Scholar
• Kelton , Christina M.L. and Kelton , David W. 1982 . “Advertising and Intraindustry Brand Shift in the U.S. Brewing Industry,” . Journal of Industrial Economics , 30 : 293 – 303 .
   Web of Science ®Google Scholar
• Kelton , Christina M.L. and Kelton , David W. “Markov Process Models: A General Framework for Estimation and Inference in the Absence of State Transition Data,” . Mathematical Modelling in Science and Technology, The Fourth International Conference . Zurich . Edited by: Avula , X. J.R. , Kalman , R. E. , Liapis , A. I. and Rodin , E. Y. pp. 299 – 304 . Oxford : Pergamon Press .
   Google Scholar
• Kelton , David W. and Kelton , Christina M.L. 1982 . “Hypothesis Tests for Markov Process Models Estimated From Aggregate Frequency Data,” , Kent State University, Dept. of Administrative Sciences . Working Paper No. WS-8202
   Google Scholar
• Kullback , S. , Kupperman , M. and Ku , H. H. 1962 . “Tests for Contingency Tables and Markov Chains,” . Technometrics , 4 : 573 – 608 .
   Web of Science ®Google Scholar
• Lee , T. C. , Judge , G. G. and Zellner , A. 1977 . Estimating the Parameters of the Markov Probability Models From Aggregate Time Series Data, , 2nd ed. , Amsterdam : North-Holland .
   Google Scholar
• Lemke , C. E. 1968 . “On Complementary Pivot Theory,” . In Mathematics of the Decision Sciences , Edited by: Dantzig , G. B. and Veinott , A. F. 95 – 114 . Providence , R.I. : American Mathematical Society .
   Google Scholar
• Lewis , P. A.W. , Goodman , A. S. and Miller , J. M. 1969 . “A Pseudo-Random Number Generator for the System/360,” . IBM Systems Journal , 8 : 136 – 146 .
   Google Scholar
• MacRae , Elizabeth Chase . 1977 . “Estimation of Time-Varying Markov Processes With Aggregate Data,” . Econometrica , 45 : 183 – 198 .
   Web of Science ®Google Scholar
• Madansky , Albert . 1959 . “Least Squares Estimation in Finite Markov Processes,” . Psychometrika , 24 : 137 – 144 .
   Web of Science ®Google Scholar
• Miller , George A. 1952 . “Finite Markov Processes in Psychology,” . Psychometrika , 17 : 149 – 167 .
   Google Scholar
• Schrage , L. 1979 . “A More Portable FORTRAN Random Number Generator,” . ACM Transactions on Mathematical Software , 5 : 132 – 138 .
   Google Scholar
• Stephens , M. A. 1974 . “EDF Statistics for Goodness of Fit and Some Comparisons,” . Journal of the American Statistical Association , 69 : 730 – 737 .
   Web of Science ®Google Scholar
• Theil , Henri . 1971 . Principles of Econometrics , New York : John Wiley .
   Google Scholar