A New Distribution of Combined Parallel System Which Contains Components with Bivariate Geometric Distribution

Unozkan H., Yilmaz M.

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, cilt.59, sa.4, ss.19-42, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 4
  • Basım Tarihi: 2020
  • Dergi Adı: INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), zbMATH
  • Sayfa Sayıları: ss.19-42
  • Anahtar Kelimeler: Bivariate geometric distribution, exponentially distributed components, reliability analyses, survival function
  • Ankara Üniversitesi Adresli: Evet

Özet

This paper introduces a new distribution of combined parallel system which contains components with geometric distribution. Let the structure of a system includes two components which combined parallel and there are random component additions to these two core components. Suppose that component additions are distributed with bivariate geometric distribution. This situation gives a special system structure and distribution of this system is studied.