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Caren Tempelman Wp 40.

Find an imputation method for missing economic data items with balance and inequality restrictions. Model data with truncated singular normal distribution, estimate parameters using MLE, and use EM algorithm for nonresponse. Draw imputations from distribution or use expectations as imputations.

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Caren Tempelman Wp 40.

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  1. Imputation of Economic Data subject to Several Linear Restrictions using the Truncated Singular Normal Distribution Caren Tempelman Wp 40.

  2. Problem definition Find an imputation method, that imputes missing economic data items, incorporating the fact that these data are subject to both balance and inequality restrictions.

  3. Solution • Balance restrictions lead to singular data:use the singular normal- Inequalities lead to the truncation of data: use the truncated normal Model the data according to a truncated singular normal distribution f, defined by where g is the (nontruncated) singular normal density and

  4. Plot of a truncated singular normal Restrictions:x+y=zx>0, y>0

  5. Imputation procedure • Estimate the parameters μ and Σ of the truncated singular normal using maximum likelihood estimation.- In the presence of nonresponse use the EM algorithm.- Draw imputations from the truncated singular normal, using the maximum likelihood estimates as parameters. Or, alternatively, use the expectations of the missing items (E-step) as imputations.

  6. Thank you for your attention

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