Published September 21, 2024 | Version v1
Conference paper Open

GRADUATE SCHOOL OF WESTMINSTER INTERNATIONAL UNIVERSITY IN TASHKENT PROFESSORSHIP OF STATISTICS AND ECONOMETRICS

  • 1. PhD candidate in Econometrics and Statistics Module leader in Data Analytics
  • 2. Silk Road International University of Tourism and Heritage Module leader in Economics of Tourism

Description

Linear regression is one of the widely used statistical methods in social sciences. The core part of the regressions are coefficients which bring some inference. Yet, we rely on hypothesis testing or confidence intervals and certain assumptions underlying linear models such as sample size being large enough. In this study, we suggest alternative way of constructing confidence intervals using bootstrap which is expected to work well even when the sample size is smaller than required per OLS assumptions. We find that even in small samples, bootstrap confidence intervals can perform better than traditional interval estimations

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References

  • Efron, B. (1979). Bootstrap methods: Another look at the jackknife. The Annals of Statistics, 7(1), 1-26.
  • Efron , B. (1982). The Jackknife, the Bootstrap and Other Resampling Plans. SIAM, Philadelphia
  • Efron , B., and Tibshirani , R. (1986). Bootstrap methods for standard errors, confidence intervals and other measures of statistical accuracy. Statistical Science. Vol. 1 , 54 – 77
  • Davison , A. C. , and Hinkley , D. V. (1997). Bootstrap Methods and Their Applications. Cambridge University Press, Cambridge .
  • Chernick, M. R., and LaBudde, R. A. (2014). An introduction to bootstrap methods with applications to R. John Wiley & Sons.
  • Chernozhukov, V., and Hong, H. (2003). An MCMC approach to classical estimation. Journal of Econometrics, 115(2), 293-346.
  • DiCiccio , T., and Efron , B. (1992). More accurate confidence intervals in exponential families. Biometrika 79, 231 – 245 .
  • Fan, Y., and Li, Q. (2004). A consistent model specification test based on the kernel density estimation. Econometrica, 72(6), 1845-1858.