Moments of order statistics of the standard two-sided power distribution

Çetinkaya Ç., GENÇ A. İ.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.47, sa.17, ss.4311-4328, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 17
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/03610926.2017.1373818
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4311-4328
  • Anahtar Kelimeler: Best linear unbiased estimates, L-moments, moments of order statistics, two-sided power distribution, 62G30, 62E05, TOPP-LEONE DISTRIBUTION, TRIANGULAR DISTRIBUTION
  • Çukurova Üniversitesi Adresli: Evet

Özet

The standard two-sided power distribution is a flexible distribution having uniform, power function and triangular as subdistributions, and it is a reasonable alternative to the Laplace distribution in some cases. In this work, computationally efficient expressions for moments of order statistics, expressions for L-moments, and asymptotic results for sample extrema are derived. Then a simulation study is performed for the location-scale estimation problem of a small data set by considering the maximum likelihood estimation method and the best linear unbiased estimation method based on the moments of order statistics.