Transmuted Kumaraswamy Lindley distribution with application

Abstract

Lindley distribution is one of the important lifetime model extensively used to analyze the lifetime data. In this paper, a generalized version of the Lindley distribution, called the transmuted Kumaraswamy Lindley (TKL) distribution, is introduced. A comprehensive mathematical treatment of the TKL distribution is provided to study its properties. Moreover, we discuss the maximum likelihood estimation with its applications to real life data.

Subject Classification (2010):

• 60E05
• 62F10
• 62F99

Keywords:

• Transmuted family
• Kumaraswamy Lindley distribution
• Hazard function
• Moments
• Maximum likelihood estimation