A new alternative unit- Lindley distribution with increasing failure rate

In this paper, a new one-parameter distribution is proposed by unitizing the Lindley through hyperbolic tangent transformation. The goal to map functionality of on unit interval, with perspective offering modeling option for treating data. first part, we provide motivations and some mathematical properties distribution. Two truncated moments hazard rate functions are used characterize emphasis then switched its statistical characteristics. Several methods discuss point estimation parameter. related bias mean squared error behavior tested using Monte Carlo simulations range sample sizes. To demonstrate ability model fit real data, distributional analyses given.