Abstract
The concept of length-biased distribution can be employed in development of proper models for lifetime data. Length-biased distribution is a special case of the more general form known as weighted distribution. In this paper we introduce a new class of length-biased weighted Lomax distribution, (LBWLD). The statistical properties of this distribution are derived and the model parameters are estimated by maximum likelihood estimation and the observed information matrix is determined. An application to real data set is finally presented for illustration.
Highlights
The Lomax distribution known as Pareto distribution of second kind has, in recent years, assumed opposition of importance in the field of life testing because of its uses to fit business failure data
Lomax distribution was introduced by Lomax (1974), Abdullah and Abdullah (2012) estimates the parameters of Lomax distribution based on generalized probability weighted moment
In this sub-section, we present the reliability function and the hazard function for the proposed Length biased weighted Lomax distribution
Summary
The Lomax distribution known as Pareto distribution of second kind has, in recent years, assumed opposition of importance in the field of life testing because of its uses to fit business failure data. The Lomax distribution has been used in the literature in a number of ways It has been extensively used for reliability modeling and life testing; see, for example, Balkema and de Haan (1974). It has been used as an alternative to the exponential distribution when the data are heavy tailed; see Bryson (1974). Ahsanullah (1991) studied the record values of Lomax distribution. Balakrishnan and Ahsanullah (1994) introduced some recurrence relations between the moments of record values from Lomax distribution. The probability density function (pdf) of the Lomax distribution (LD) is given by f (x; , )
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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.
