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Percentiles and approximations of the sample median over the sample range for samples of size 3, 5, 7 and 9 from a standard normal distribution

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  • N. Bouma
  • A. Vehmeyer

Abstract

A table of the distribution function of the quotient of sample median and sample range of small samples from the normal distribution is given which is based partly on theoretical results published by L. de Haan and J. Th. Runnenburg, partly on numerical results obtained with Monte Carlo methods. Moreover an approximation of this distribution by Students distributions is introduced.

Suggested Citation

  • N. Bouma & A. Vehmeyer, 1969. "Percentiles and approximations of the sample median over the sample range for samples of size 3, 5, 7 and 9 from a standard normal distribution," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 23(3), pages 235-239, September.
  • Handle: RePEc:bla:stanee:v:23:y:1969:i:3:p:235-239
    DOI: 10.1111/j.1467-9574.1969.tb00090.x
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