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

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Atıf İçin Kopyala

GENÇ A. İ.

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, cilt.35, sa.2, ss.891-913, 2018 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 35 Sayı: 2
• Basım Tarihi: 2018
• Doi Numarası: 10.1007/s13160-018-0311-2
• Dergi Adı: JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.891-913
• Çukurova Üniversitesi Adresli: Evet

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.