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Estimation of ma(1) model based on rounded data Cover

Estimation of ma(1) model based on rounded data

Tatra Mountains Mathematical Publications
Volume 51 (2012): Issue 1 (April 2012)
By: Meihui Guo and  Gen-Liang Li  
Open Access
|Nov 2012

References

  1. [1] BAI, Z. D.-ZHENG, S. R.-ZHANG, B. X.-HU, G. R.: Statistical analysis for rounded data. J. Statist. Plann. Inference 139 (2009), 2526-2542.
    Search in Google Scholar
  2. [2] DEMPSTER, A. P.-ROBIN, D. B.: Rounding error in regression: The appropriateness of sheppard’s corrections. J. Roy. Statist. Soc. Ser. B 45 (1983), 51-59.
    Search in Google Scholar
  3. [3] HALL, P.: The influence of rounding errors on some nonparametric estimators of a den- sity and its derivatives, SIAM J. Appl. Math. 42 (1982), 390-399.10.1137/0142030
    Search in Google Scholar
  4. [4] HEITJAN, D. F.-RUBIN, D. B.: Ignorability and coarse data, Ann. Statist. 19 (1991), 2244-2253.10.1214/aos/1176348396
    Search in Google Scholar
  5. [5] LEE, C. S.-VARDEMAN, S. B.: Interval estimation of a normal process mean from rounded data, J. Qual. Tech. 33 (2001), 335-348.10.1080/00224065.2001.11980083
    Search in Google Scholar
  6. [6] LEE, C. S.-VARDEMAN, S. B.: Interval estimation of a normal process standard devi- ation from rounded data, Comm. Statist. Simulation Comput. 31 (2002), 13-34.10.1081/SAC-9687279
    Search in Google Scholar
  7. [7] LINDLEY, D. V.: Grouping corrections and maximum likelihood equations, in: Proc. Camb. Philos. Soc. 46 (1950), 106-110.
    Search in Google Scholar
  8. [8] MCCULLOUGH, B. D.-VINOD, H. D.: The numerical reliability of econometric soft- ware, J. Econom. Lit. 37 (1999), 633-665.10.1257/jel.37.2.633
    Search in Google Scholar
  9. [9] SHEPPARD,W. F.: On the calculation of the most probable values of frequency constants for data arranged according to equidistant divisions of a scale, in: Proc. Lond. Math. Soc. 29 (1897), 353-380.
    Search in Google Scholar
  10. [10] SKEEL, R.: Roundoff error and the Patriot missile, SIAM News 25 (1992), 11.
    Search in Google Scholar
  11. [11] STAM, A.-COGGER, K. O.: Rounding errors in autoregressive processes, Internat. J. Forecast. 9 (1993), 487-508.10.1016/0169-2070(93)90076-Y
    Search in Google Scholar
  12. [12] TALLIS, G. M.: Approximate maximum likelihood estimates from grouped data, Techno- metrics 9 (1967), 599-606.
    Search in Google Scholar
  13. [13] TRICKER, T.: Effects of rounding data sampled from the exponential distribution, J. Appl. Statist. 11 (1984), 54-87.10.1080/02664768400000007
    Search in Google Scholar
  14. [14] TRICKER, A. R.: The effect of rounding on the power level of certain normal test sta- tistics, J. Appl. Statist. 17 (1990a), 219-228.10.1080/757582833
    Search in Google Scholar
  15. [15] TRICKER, A. R.: The effect of rounding on the significance level of certain normal test statistics, J. Appl. Statist. 17 (1990b), 31-38.10.1080/757582644
    Search in Google Scholar
  16. [16] TRICKER, A. R.: Estimation of parameters for rounded data from non-normal distribu- tions, J. Appl. Statist. 19 (1992), 465-471.10.1080/02664769200000041
    Search in Google Scholar
  17. [17] ZHANG, B. X.-LIU, T. Q.-BAI, Z. D.: Analysis of rounded data from dependent se- quences, Ann. Inst. Statist. Math. 62 (2010), 1143-1173.10.1007/s10463-009-0224-6
    Search in Google Scholar
DOI: https://doi.org/10.2478/v10127-012-0005-0 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
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Language: English
Page range: 45 - 53
Published on: Nov 13, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
Keywords:
adjusted maximum likelihood estimate,
moving average model,
parameter estimation,
rounded data.
Related subjects:
Mathematics,
General mathematics

© 2012 Meihui Guo, Gen-Liang Li, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

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