Exact distribution of the sample median of a jump type distribution on a bounded domain


GENÇ A. İ.

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, cilt.35, ss.891-913, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 35 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s13160-018-0311-2
  • Dergi Adı: JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.891-913

Özet

This paper considers the problem of finding the exact distribution and exact moments of the median of a sample of even size drawn from a jump type distribution with bounded domain in a computable form. The results which are obtained with the help of integral calculus are then applied to two-piece uniform distribution. The exact variances are calculated for both odd and even sample sizes, and efficiency comparisons are made.