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1 results

  • Bounds on the distance of a mixture from its parent distribution

  • Moshe Shaked
  • Journal:
    Journal of Applied Probability / Volume 18 / Issue 4 / December 1981
    Published online by Cambridge University Press:
    14 July 2016, pp. 853-863
    Print publication:
    December 1981

  • In a series of recent papers, Heyde (1975), Heyde and Leslie (1976), Hall (1979) and Brown (1980) obtained upper bounds on the uniform distance of a scale mixture from its parent distribution. Using a different technique we obtain further bounds which are more meaningful and superior in some applications. The new technique is then applied to obtain bounds on the uniform distance of a location mixture from its parent distribution. Comparison of the new bounds and the earlier ones is given.