Abstract
In this paper, we introduce the length biased form of the Nakagami distribution known as length biased Nakagami distribution (LBND). Some properties of this model were studied such as the moments, reliability function, and the hazard rate function. Maximum likelihood and Bayes estimates of the scale parameter are derived. Also the Posterior risks under different loss functions are obtained. The results are applied on the data regarding the life test of 59 conductors.
Highlights
Nakagami distribution propounded by M.Nakagami (1960) is a flexible lifetime distribution
Length biased distribution is a special case of weighted distribution which were first introduced by Fisher (1934) to model ascertainment bias
The data below are from an accelerated life test of 59 conductors, failure times are in hours, and there are no censored observations Lawless (2003)
Summary
Nakagami distribution propounded by M.Nakagami (1960) is a flexible lifetime distribution. It may be used to model failure times of diversity of products such as vacuum tubes, ball bearing and electrical insulation It finds wide applicability in biomedical fields such as to model the time to the occurrence of tumors and appearance of lung cancer. This distribution has applications in medical imaging studies to model the ultrasounds especially in Echo (heart efficiency test). Shanker et al (2005) and Tsui et al (2006) use this distribution to model ultrasound data in medical imaging studies. Abdi and Kaveh (2000) have shown that Nakagami distribution is useful for modeling multipath faded envelope in wireless channels and estimated the shape parameter of the distribution.
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Pakistan Journal of Statistics and Operation Research
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
