Different Classical Methods of Estimation and Chi-squared Goodness-of-fit Test for Unit Generalized Inverse Weibull Distribution

In this paper, we try to contribute the distribution theory literature by incorporating a new bounded distribution, called unit generalized inverse Weibull (UGIWD) in (0, 1) intervals transformation method. The proposed exhibits increasing and bathtub shaped hazard rate function. We derive some basic statistical properties of distribution. Based on complete sample, model parameters are obtained methods maximum likelihood, least square, weighted percentile, product spacing Cram`er-von-Mises compared them using Monte Carlo simulation study. addition, bootstrap confidence based aforementioned estimation also obtained. illustrate performance means one real data set shows that is more appropriate as Birnbaum-Saunders, gamma, Weibull, Kumaraswamy Burr III distributions. Further, construct chi-squared goodness-of-fit tests for UGIWD right censored Nikulin-Rao-Robson (NRR) statistic its modification. criterion test used modified Y^2, developedby Bagdonavi?ius Nikulin, 2011 parametric models when censored. performances shown an intensive study application