A new family of distributions to analyze lifetime data

Abstract

In this paper, a new family of distributions is proposed by using quantile functions of known distributions. Some general properties of this family are studied. A special case of the proposed family is studied in detail, namely the Lomax-Weibull distribution. Some structural properties of the special model are established. This distribution has been applied to several censored and uncensored data sets with various shapes.

Keywords

• Censoring; log-logistic distribution; Lomax distribution; quantile function; T-X family; Weibull distribution