Abstract

In this article, truncated version of the inverse Lomax distribution has been introduced. Different statistical properties such as survival, hazard rate, reverse hazard rate, cumulative hazard rate, quantile function of the new distribution have been derived. Order statistics is also discussed. Secondly, various classical estimation procedures are used to estimate the unknown parameter of the model with the effect of truncation. Monte Carlo simulation study has been conducted for different variation of the model parameters to compare the performances of the estimators obtained by different methods of estimation. Finally, a cancer data set is used to illustrate the practical applicability of the proposed model.

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