This paper introduces the length-biased weighted exponentiated inverted exponential distribution with sub models. The basic statistical properties are derived such as mean, mode, variance, reliability functions, moment generating function, characteristic function and order statistic distribution. Furthermore, maximum likelihood estimators of distribution parameters are obtained under censored Type I. Numerical study is applied.  Variance-covariance matrix is obtained and Confidence intervals are calculated. Two real data sets are applied to compare performance of the proposed model with competitive distributions by using some criterions as measures of goodness fit.