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Bootstrapping the Malmquist productivity index - a simulation study

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  • Mickael Lothgren

Abstract

This paper presents a Monte Carlo simulation study of the bootstrap algorithm proposed by Lothgren and Tambour for calculation of bootstrap confidence intervals for the firm-specific Data Envelopment Analysis (DEA) Malmquist productivity index. The simulation results indicate that the coverage accuracy of bootstrap confidence intervals are near the nominal confidence level for small to moderate sized samples. For larger sample sizes, a clear convergence of empirical to nominal level is found.

Suggested Citation

  • Mickael Lothgren, 1999. "Bootstrapping the Malmquist productivity index - a simulation study," Applied Economics Letters, Taylor & Francis Journals, vol. 6(11), pages 707-710.
  • Handle: RePEc:taf:apeclt:v:6:y:1999:i:11:p:707-710
    DOI: 10.1080/135048599352268
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    References listed on IDEAS

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    1. Simar, Leopold & Wilson, Paul W., 1999. "Estimating and bootstrapping Malmquist indices," European Journal of Operational Research, Elsevier, vol. 115(3), pages 459-471, June.
    2. Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
    3. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    4. Mickael Lothgren & Magnus Tambour, 1999. "Bootstrapping the data envelopment analysis Malmquist productivity index," Applied Economics, Taylor & Francis Journals, vol. 31(4), pages 417-425.
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    Cited by:

    1. Daniel Friesner & Matthew McPherson & Robert Rosenman, 2006. "Are Hospitals Seasonally Inefficient? Evidence from Washington State Hospitals," Working Papers 2006-3, School of Economic Sciences, Washington State University.

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