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Generating Non-Standard Multivariate Distributions with an Application to Mismeasurement in the CPI

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Listed:
  • Matthew D. Shapiro
  • David W. Wilcox

Abstract

This paper shows how to generate the joint distribution of correlated random variables with specified marginal distributions. For cases where the marginal distributions are either normal or lognormal, it shows how to calculate analytically the correlation of the underlying normal distributions to induce the desired correlation between the variables. It also provides a method for calculating the joint distribution in the case of arbitrary marginal distributions. The paper applies the technique to calculating the distribution of the overall bias in the consumer price index. The technique should also be applicable to estimation by simulated moments or simulated likelihoods and to Monte Carlo analysis.

Suggested Citation

  • Matthew D. Shapiro & David W. Wilcox, 1996. "Generating Non-Standard Multivariate Distributions with an Application to Mismeasurement in the CPI," NBER Technical Working Papers 0196, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberte:0196
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    References listed on IDEAS

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    1. repec:ucp:bknber:9780226304557 is not listed on IDEAS
    2. Murray Foss & Marylin Manser & Allan Young, 1993. "Price Measurements and Their Uses," NBER Books, National Bureau of Economic Research, Inc, number foss93-1, May.
    3. Timothy F. Bresnahan & Robert J. Gordon, 1996. "The Economics of New Goods," NBER Books, National Bureau of Economic Research, Inc, number bres96-1, May.
    4. Matthew D. Shapiro & David W. Wilcox, 1996. "Mismeasurement in the Consumer Price Index: An Evaluation," NBER Chapters, in: NBER Macroeconomics Annual 1996, Volume 11, pages 93-154, National Bureau of Economic Research, Inc.
    5. Robert J. Gordon, 1990. "The Measurement of Durable Goods Prices," NBER Books, National Bureau of Economic Research, Inc, number gord90-1, May.
    6. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
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    More about this item

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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