Marshall-Olkin distribution: parameter estimation and application to cancer data

GÜNEY Y., TUAÇ Y., ARSLAN O.

JOURNAL OF APPLIED STATISTICS, cilt.44, sa.12, ss.2238-2250, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 12
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/02664763.2016.1252730
  • Dergi Adı: JOURNAL OF APPLIED STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2238-2250
  • Anahtar Kelimeler: Marshall-Olkin, power law, robust, Zipf, MOEZipf
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study, as alternatives to the maximum likelihood (ML) and the frequency estimators, we propose robust estimators for the parameters of Zipf and Marshall-Olkin Zipf distributions. A small simulation study is given to illustrate the performance of the proposed estimators. We apply the proposed estimators to a real data set from cancer research to illustrate the performance of the proposed estimators over the ML, moments and frequency estimators. We observe that the robust estimators have superiority over the frequency estimators based on classical sample mean.