Published May 14, 2024 | Version v1
Journal article Open

MATHEMATICAL CHARACTERIZATION OF A NEW SIZE BIASED FAILURE DISTRIBUTION

  • 1. Department of Mathematics and Sciences, Dhofar University, Salalah, Sultanate of Oman.
  • 2. IT Department (Mathematics), University of Technology and Applied Sciences (UTAS), Salalah, Sultanate of Oman
  • 3. Department of Mathematics & IT Center for Preparatory Studies Sultan Qaboos University, Muscat, Sultanate of Oman
  • 4. Department of Business Studies, University of Technology and Applied Sciences (UTAS), Salalah, Sultanate of Oman
  • 5. Department of Statistics, St. John's College, Agra, India.
  • 6. Islamia College Peshawar, Pakistan

Description

The present study offers a mathematical study of a new size biased distributions which has
been developed for a failure distribution. Different important properties of the new distribution
have been obtained which includes mgf, CV, skewness, kurtosis and the distribution of order
statistics.. The estimation of its parameter has been discussed using different methods.

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